Assignments For Class 10 Mathematics Statistics

Assignments Assignments for Class 10

Assignments for Class 10 Mathematics Statistics have been developed for Standard 10 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 10 Mathematics Statistics from our website as we have provided all Maths Assignment for Class 10 chapter wise free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 10 Mathematics Statistics. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Mathematics Statistics book and get good marks in class 10 exams.

Question. The median and mode of a frequency distribution are 26 and 29 respectively. Then, the mean is 
(A) 27.5
(B) 24.5
(C) 28.4
(D) 25.8

Answer

B

Question. If the mean and median of a set of numbers are 8.9 and 9 respectively, then the mode will be   
(A) 7.2
(B) 8.2
(C) 9.2
(D) 10.2

Answer

C

Question. Look at the frequency distribution table given below:     
The median of the above distribution is

Assignments For Class 10 Mathematics Statistics

(A) 56.5
(B) 57.5
(C) 58.5
(D) 59

Answer

B

Question. Mode = ?       

Assignments For Class 10 Mathematics Statistics
Answer

B

Question. For a symmetrical frequency distribution, we have   
(A) mean < mode < median
(B) mean > mode > median
(C) mean = mode = median
(D) mode = 1/2 (mean median)

Answer

C

Question. Look at the cumulative frequency distribution table given below:   
Number of families having income range 20000 to 25000 is

Assignments For Class 10 Mathematics Statistics

(A) 19
(B) 16
(C) 13
(D) 22

Answer

C

Assignment for Class 10 Mathematics Statistics Set A
Assignment for Class 10 Mathematics Statistics Set B
Assignment for Class 10 Mathematics Statistics Set C
Assignment for Class 10 Mathematics Statistics Set D
Assignment for Class 10 Mathematics Statistics Set E
Assignment for Class 10 Mathematics Statistics Set F
Assignment for Class 10 Mathematics Statistics Set G
Assignment for Class 10 Mathematics Statistics Set H
Assignment for Class 10 Mathematics Statistics Set I
Assignment for Class 10 Mathematics Statistics Set J
Assignment for Class 10 Mathematics Statistics Set K
Assignment for Class 10 Mathematics Statistics Set L
Assignment for Class 10 Mathematics Statistics Set M
Assignment for Class 10 Mathematics Statistics Set N
Assignment for Class 10 Mathematics Statistics Set O

Measure of Central Tendency
Mathematical Calculations

Mode

Assignments For Class 10 Mathematics Statistics

Where,l= lower limit of the model class, h=size of the class-interval,

Where, lower limit of the model class, size of the class-interval,
f1= frequency of the model class,f2=frequency of the class, preceding the modal class,

f2=frequency the modal class,h=class size.

Median

Assignments For Class 10 Mathematics Statistics

Where,
l=lower limit of the median class
n=number of observations,
c.f=cumulative frequency if the class preceding the median class,
f=frequency of the median class,
h=class size.

Mean

Assignments For Class 10 Mathematics Statistics

Graphical Representation
Cumulative Frequency Graph
Less than Ogive
More then Ogive
All the formulae discussed are for grouped data calculation for ungrouped data have been done in previous class
The three measures mean, mode and median are connected by the following relations.
Mode = 3 median – 2 mean

Short / Long Answer types Questions :

Question. If the mean of the following data is 20.6, find the value of p.

Assignments For Class 10 Mathematics Statistics

Solution.     

Assignments For Class 10 Mathematics Statistics

Question. The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is ` 18. Find the missing frequency k. 

Assignments For Class 10 Mathematics Statistics

Solution.  k = 8

Question. Find the mean of the following data:   

Assignments For Class 10 Mathematics Statistics

Solution.   

Assignments For Class 10 Mathematics Statistics

Question. The mean of the following frequency distribution is 62.8 and sum of all frequencies is 50. Find the missing frequencies f1 and f2.

Assignments For Class 10 Mathematics Statistics

Solution.     

Assignments For Class 10 Mathematics Statistics

Question. The table below shows the daily expenditure on grocery of 25 households in a locality.   

Assignments For Class 10 Mathematics Statistics

Find the mean daily expenditure on food by a suitable method.
Solution.   

Assignments For Class 10 Mathematics Statistics
Assignments For Class 10 Mathematics Statistics

Question. The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is ` 18. Find the missing frequency f. 

Assignments For Class 10 Mathematics Statistics

Solution.     

Assignments For Class 10 Mathematics Statistics

Question. A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent. 

Assignments For Class 10 Mathematics Statistics

Solution.     

Assignments For Class 10 Mathematics Statistics

Question. Find the class-mark of class 25–35.
Solution.  Class-mark = 25 + 35/2 = 60/2 = 30

Question. Find the mean of first ten odd natural numbers.
Solution.  10

Question. If the mean of the first n natural number is 15, then find n.   
Solution.  15 = 1 + 2 + 3 + … + n/2

Assignments For Class 10 Mathematics Statistics
Assignments For Class 10 Mathematics Statistics

Question. Find the mean of the following distribution:

Assignments For Class 10 Mathematics Statistics

Solution.  

Assignments For Class 10 Mathematics Statistics

Question. Find the mean of the following distribution:

Assignments For Class 10 Mathematics Statistics

Solution.

Assignments For Class 10 Mathematics Statistics

Question. Find the class-marks of the classes 10-25 and 35-55.
Solution.  Class-mark of class 10 – 25 
= 10 + 25/2 = 35/2 = 17.5
Class-mark of class 35–55
= 35 + 55/2 = 90/2 = 45

Question. The mileage (km per litre) of 50 cars of the same model was tested by a manufacturer and details are as follows:   

Assignments For Class 10 Mathematics Statistics

Find the mean mileage. The manufacturer claimed that the mileage of the model was 16 km / l. Do you agree with this claim?
Solution. 

Assignments For Class 10 Mathematics Statistics

Hence, mean mileage of car is 14.48 km/litre.
So, the manufacturer’s statement is wrong that mileage is
16 km L–1.     

Question. The arithmetic mean of the following frequency distribution is 53. Find the value of k.   

Assignments For Class 10 Mathematics Statistics

Solution.  

Assignments For Class 10 Mathematics Statistics

⇒ 3340 + 70k = 53 (72 + k)
⇒ 3340 + 70k = 3816 + 53k
⇒ 70k – 53k = 3816 – 3340
⇒ 17k = 476 ⇒ k = 28

Question. An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given as follows: 

Assignments For Class 10 Mathematics Statistics

Determine the mean number of seats occupied over the flights.
Solution.   

Assignments For Class 10 Mathematics Statistics

Question. If the mean of the following distribution is 6.4, then find the value of ‘p’.

Assignments For Class 10 Mathematics Statistics

Solution. 

Assignments For Class 10 Mathematics Statistics

Question. Find the arithmetic mean of 1, 2, 3, …, n         
Solution. We know that,   

Assignments For Class 10 Mathematics Statistics

Question. The following data gives the information on the observed life-times (in hours) of 225 electrical components.   

Assignments For Class 10 Mathematics Statistics

Determine the mean of the above data.
Solution.

Assignments For Class 10 Mathematics Statistics

PRACTICE EXERCISE

Question. Calculate the median for the following data :   

Assignments For Class 10 Mathematics Statistics

Solution. 153.4

Question. Draw the ogive for the following frequency distribution :   

Assignments For Class 10 Mathematics Statistics

Also, find the median using ogive drawn.
Solution. 37.5

Question. Find the mean of the following frequency distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. 48.70

Question. Calculate the mode of the following data :   

Assignments For Class 10 Mathematics Statistics

Solution. 77.27

Question. Calculate the arithmetic mean of the following frequency distribution : 

Assignments For Class 10 Mathematics Statistics

Solution. 69.33

Question. The mean of the following frequency table is 50. But the frequencies f1 and f2 in class 20-40 and 60-80 are missing. Find the missing frequencies.   

Assignments For Class 10 Mathematics Statistics

Solution. f1 = 28, f2 = 24

Question. The following table shows the weights in gm of a sample of 100 potatoes taken from a large consignment:   

Assignments For Class 10 Mathematics Statistics

Draw the cumulative frequency curve and from it determine the median weight of the potatoes.
Solution. 93 gm

Question. The marks of 200 students in a test were recorded as follows : 

Assignments For Class 10 Mathematics Statistics

Draw the cumulative frequency table and ogive. Use it to estimate the median.
Solution. 52.8

Question. The following table gives the distribution of expenditure of different families on education. Find the mean expenditure on education in a family. 

Assignments For Class 10 Mathematics Statistics

Solution. Rs. 2662.5

Question. Calculate the modal height from the following table   

Assignments For Class 10 Mathematics Statistics

Solution. 153.57 cm

Question. Find the value of p if the mean of the following distribution is 7.5.   

Assignments For Class 10 Mathematics Statistics

Solution. p = 3

Question. Find the mode of the following distribution :     

Assignments For Class 10 Mathematics Statistics

Solution. 52

Question. Find the mean of the following frequency distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. 25.2

Question. Find the average marks scored by students of a class in a test from the following data : 

Assignments For Class 10 Mathematics Statistics

Solution. 28 marks

Question. For the following frequency distribution, draw both the types of cumulative frequency curve on the same graph paper and hence find the median.   

Assignments For Class 10 Mathematics Statistics

Solution. 75

Question. Draw a ‘less than type’ cumulative frequency curve for the following data. 

Assignments For Class 10 Mathematics Statistics

Hence, estimate the median.
Solution. 20

Question. Draw a cumulative frequency curve (less than type) for the following data and find the median from it.   

Assignments For Class 10 Mathematics Statistics

Solution. 32.6

Question. Find the mean of the following distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. 19.92

Question. Calculate the mode of the following distribution :     

Assignments For Class 10 Mathematics Statistics

Solution. 107

Question. The marks obtained by 100 students of a class in an examination are given below :

Assignments For Class 10 Mathematics Statistics

Draw a cumulative frequency curved by using : (i) ‘less than type’ and (ii) ‘more than type’. Hence find the meadian.
Solution. 28.8

Question. Compute the mode of the following data :   

Assignments For Class 10 Mathematics Statistics

Solution. 85.71

Question. Calculate the mode from the following data :   

Assignments For Class 10 Mathematics Statistics

Solution. Rs. 7727.27

Question. Marks scored by 400 students in an examination are as follows :

Assignments For Class 10 Mathematics Statistics

Draw a ‘more than type’ cumulative frequency curve and from it determine the median.
Solution. 57.5

Question. Calculate the mean, the median and the mode of the following distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. Mean = 14.96, Median = 15, Mode = 15

Question. The table given below shows the distribution of the daily wages, earned by 160 workers in a building site: 

Assignments For Class 10 Mathematics Statistics

Draw a cumulative frequency curve by using : (i) ‘less than type’ and (ii) ‘more than type’.
Hence, estimate the median wages using graph.
Solution. Rs. 34.73

Question. Find the median of the following frequency distribution : 

Assignments For Class 10 Mathematics Statistics

Solution. 27

Question. Find the mean of the following distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. 55

Question. Calculate the mode for the following frequency distribution : 

Assignments For Class 10 Mathematics Statistics

Solution. 52.83 kg

Question. Find the mean of the following frequency distribution : 

Assignments For Class 10 Mathematics Statistics

Solution. 53

Question. Calculate the mean of the following frequency distribution: 

Assignments For Class 10 Mathematics Statistics

Solution. 196.8

Question. The arithmetic mean of the following frequency distribution is 50. Find the value of p. 

Assignments For Class 10 Mathematics Statistics

Solution. p = 28

Question. Find the mean of the following frequency distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. 50

Question. Calculate the median income :   

Assignments For Class 10 Mathematics Statistics

Solution. Rs. 934.17

Question. Find the mean of the following frequency distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. 148.61

Question. Find the median for the following frequency distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. 35.76 years (approx).

Question. Find the mode for the following frequency distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. 63.75

Question. Find the average height for the following frequency distribution : 

Assignments For Class 10 Mathematics Statistics

Solution. 153.45 cm

Question. Find the median for the following frequency distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. 153.64

Question. The following table shows the ages of the patients admitted in a hospital during a year : 

Assignments For Class 10 Mathematics Statistics

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
Solution. mode = 36.81 years; mean = 35.37 years

Question. The following table gives the marks obtained by 50 students in a class test :   

Assignments For Class 10 Mathematics Statistics

Find the median marks.
Solution. 33

Question. Calculate the mean of the following distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. 62.545

Question. The median of the following distribution is 35, find the value of a and b.   

Assignments For Class 10 Mathematics Statistics

Solution. a = 35, b = 25

Question. Calculate the median for the following data :   

Assignments For Class 10 Mathematics Statistics

Solution. 35

Question. Find the mode for the following distribution table :   

Assignments For Class 10 Mathematics Statistics

Solution. 44.705

Question. Find the mode for the following frequency distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. 12.89

Question. Calculate the median for the following data :   

Assignments For Class 10 Mathematics Statistics

Solution. 116.67

Question. Draw a cumulative frequency curve (more than type) for the following data and hence obtain the median.   

Assignments For Class 10 Mathematics Statistics

Solution. 35 (approx)

Question. If the median of the distribution given below is 28.5, find the value of x and y. 

Assignments For Class 10 Mathematics Statistics

Solution. x = 8, y = 7

Question. If the mean of the distribution is 57.6 and the sum of its observations is 50, find the missing frequencies f1 and f2.   

Assignments For Class 10 Mathematics Statistics

Solution. f1= 8, f2 = 10

Question. Find the mean of the following frequency distribution :   

Assignments For Class 10 Mathematics Statistics

Solution. 36.357

Question. Compute the mean for the following data :   

Assignments For Class 10 Mathematics Statistics

Solution. 24

Question. If the mean of the following distribution is 54, find the value of p :

Assignments For Class 10 Mathematics Statistics

Solution. p = 11

Question. The wickets taken by a bowler in10 cricket matches are as follows:2,6,4,5,0,2,1,3,2,3 Find the mode of the data.
Solution. 2

Question. How one can find median of a frequency distribution graphically.
Solution. OGIVE

Question. What is the mean of first ten prime numbers?
Solution. 12.9

Question. What measure of central tendency is represented by the abscissa of the point where less than ogive and more than ogive intersect?
Solution. MEDIAN

Question. What important information one can get by the abscissa of the point of intersection of the less than type and the more than type cumulative frequency curve of a group data.
Solution. Median

Question. Using the assumed mean method find the mean of the following data.     

Assignments For Class 10 Mathematics Statistics

Solution. 27.2

Question. If the mode of a data is 45 and mean is 27, then median is .  
Solution. 33

Question. Find the median of the following frequency distribution.   

Assignments For Class 10 Mathematics Statistics

Solution. 167

Question. Given below is the distribution of IQ of the 100 students .Find the median of IQ   

Assignments For Class 10 Mathematics Statistics

Solution. 106.1

Question. Find the median of the following distribution.   

Assignments For Class 10 Mathematics Statistics

Solution. 28.5l

Question. A class teacher has the following absentee records of 40 students of a class for the whole term 

Assignments For Class 10 Mathematics Statistics

Write the above distribution as less than type cumulative frequency distribution
Solution.  

Assignments For Class 10 Mathematics Statistics

Question. Find the mode of the following     

Assignments For Class 10 Mathematics Statistics

Solution. MODE =40

Question. Name the key terms used in central tendency
Solution. Mean, Median, Mode

Question. Draw cumulative frequency curve for the following data :   

Assignments For Class 10 Mathematics Statistics

Hence, determine the median.
Solution. 32.5

Question. Compute the mean for the following data :   

Assignments For Class 10 Mathematics Statistics

Solution. 43

Question. Find the mode of the following data:  120, 110, 130, 110, 120, 140, 130, 120, 140, 120 
Solution. Let us first form the frequency table for the given data as given below: 

Assignments For Class 10 Mathematics Statistics

We observe that the value 120 has the maximum frequency.
Hence, the mode or modal values is 120.

Question. Calculate the average daily income (in Rs) of the following data about men working in a company:   

Assignments For Class 10 Mathematics Statistics

Solution.

Assignments For Class 10 Mathematics Statistics

Question.

Assignments For Class 10 Mathematics Statistics

Find the median for the above frequency distribution.   
Solution. n = 120
⇒ n/2 = 60
Median is average of 60th and 61st observation
Median = 5 + 5 /2 = 5
So, Median is 5.

Question. Thirty women were examined in a hospital by a doctor and the number of heart beats per minute was recorded and summarized as follows. Find the mean heartbeats per minute for these women, choosing a suitable method. 

Assignments For Class 10 Mathematics Statistics

Solution. Take a = 75.5, h = 3

Assignments For Class 10 Mathematics Statistics

Using the step-deviation method,   

Assignments For Class 10 Mathematics Statistics

Hence, the mean heart beats per minute are 75.9.

Question. Calculate the median from the following data:   

Assignments For Class 10 Mathematics Statistics

Solution.

Assignments For Class 10 Mathematics Statistics
Assignments For Class 10 Mathematics Statistics

Question. Find the unknown entries a, b, c, d in the following distribution of heights of students in a class :   

Assignments For Class 10 Mathematics Statistics

Solution.

Assignments For Class 10 Mathematics Statistics
Assignments For Class 10 Mathematics Statistics

Question. On annual day of a school, 400 students participated in the function. Frequency distribution showing their ages is as shown in the following table : 

Assignments For Class 10 Mathematics Statistics

Find mean and median of the above data.
Solution. 

Assignments For Class 10 Mathematics Statistics

a= assumed mean = 12
we know that,   

Assignments For Class 10 Mathematics Statistics

Question. The data regarding marks obtained by 48 students of a class in a class test is given below. Calculate the modal marks of students.   

Assignments For Class 10 Mathematics Statistics

Solution. Modal class is 30 – 35, l =30, f1= 25, f0 = 10, 

Assignments For Class 10 Mathematics Statistics

= 30 + 2.27 or 32.27 approx.   

Question. The mean of the following frequency distribution is 62.8 and the sum of all the frequencies is 50. Compute the missing frequency f1and f2.   

Assignments For Class 10 Mathematics Statistics

Solution. Given,   
sum of frequency = 50
5 + f1 + 10 + f2 + 7 + 8 = 50
f1 + f2 = 20
3f1 + 3f2 = 60 … (1) [multiply both side by 3]
And mean = 62.8

Assignments For Class 10 Mathematics Statistics

30f1 + 70f2 = 3140 – 2060
30f1 + 70f2 = 1080
3f1 + 7f2 = 108 …(2) [divide it by 10]
subtract equation (1) from equation (2)
3f1 + 7f2 – 3f1 – 3f2 =108 – 60
4f2 = 48
f2 =12
Put value of f2 in equation (1)
3f1 + 3(12) = 60
f1 = 24/3 = 8
f1 = 8, f2 = 12

Question. From the following frequency distribution, find the median class : 

Assignments For Class 10 Mathematics Statistics

Solution.

Assignments For Class 10 Mathematics Statistics

Question. The arithmetic mean of the following data is 14. Find the value of k. 

Assignments For Class 10 Mathematics Statistics

Solution. 

Assignments For Class 10 Mathematics Statistics

Given

Assignments For Class 10 Mathematics Statistics

Question. Find the mode of the data , using a empirical formula , when it is given that median = 41.25 and mean = 33.75  
Solution. We know , Mode = 3(Median) – 2(Mean)
Given, Median = 41.25 and Mean = 33.75
Therefore , Mode = 3 x 41.25 – 2 x 33.75
= 123. 75 – 67.50
= 56.25
So, mode is 56.25.

Question. The following distribution shows the daily pocket allowance given to the children of a multistorey building. The average pocket allowance is Rs.18.00. Find out the missing frequency. 

Assignments For Class 10 Mathematics Statistics

Solution. Given mean = 18,
Let the missing frequency be ‘v’. 

Assignments For Class 10 Mathematics Statistics
Assignments For Class 10 Mathematics Statistics

Question. The following table gives the number of children of 150 families in a village 

Assignments For Class 10 Mathematics Statistics

Find the average number of children per family.   
Solution. Let the assumed mean (A) = 2 

Assignments For Class 10 Mathematics Statistics

Average number of children per family = 352/150 = 2.35(approx)

Question. Find the mode of the following data:  25,16,19, 48,19, 20,34,15, 19, 20, 21, 24,19, 16, 22, 16 ,18, 20,16, 19 …….
Solution. Given, data
25,16,19, 48,19, 20,34,15, 19, 20, 21, 24,19, 16, 22, 16 ,18, 20,16,19

Assignments For Class 10 Mathematics Statistics

We observe that the value 19 has the maximum frequency i.e. 5.   
Therefore, mode of the given data is 19.

Question. The arithmetic mean of the following data is 25, find the value of k.

Assignments For Class 10 Mathematics Statistics

Solution. 

Assignments For Class 10 Mathematics Statistics

Given mean = 25
sum /N = 25
15k + 390 = 25k + 350
25k – 15k = 40
10k = 40
k = 4

Question. Find the value of p for the following distribution whose mean is 16.6.

Assignments For Class 10 Mathematics Statistics

Solution.

Assignments For Class 10 Mathematics Statistics
Assignments For Class 10 Mathematics Statistics

Question. Calculate the median from the following data:

Assignments For Class 10 Mathematics Statistics

Solution.

Assignments For Class 10 Mathematics Statistics
Assignments For Class 10 Mathematics Statistics

Question. Draw an ogive to represent the following frequency distribution:

Assignments For Class 10 Mathematics Statistics

Solution. The given frequency distribution is not continuous, so we will first make it continuous and then prepare the cumulative frequency:

Assignments For Class 10 Mathematics Statistics

Plot the points (4.5, 2), (9.5, 8), (14.5, 18), (19.5, 23), (24.5,26) by taking the upper class limit over the x-axis and cumulative frequency over the y-axis.

Assignments For Class 10 Mathematics Statistics

Question. To find out the concentration of SO2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:

Assignments For Class 10 Mathematics Statistics

find the mean concentration of SO2 in the air.
Solution. We may find class marks for each interval by using the relation

Assignments For Class 10 Mathematics Statistics

Class size of this data = 0.04
let a = 0.14

Assignments For Class 10 Mathematics Statistics

Question. Five coins were simultaneously tossed 1000 times, and at each toss the number of heads was observed. The number of tosses during which 0,1,2,3,4 and 5 heads were obtained are shown in the table below. Find the mean number of heads per toss

Assignments For Class 10 Mathematics Statistics

Solution. Let the assumed mean (A) = 2

Assignments For Class 10 Mathematics Statistics
Assignments For Class 10 Mathematics Statistics

Mean number of per toss = 2 + 470/1000 = 2 + 0.47 = 2.47

Question. If ∑fi = 11, ∑fixi = 2p + 52 and the mean of any distribution is 6, find the value of p. 
Solution.

Assignments For Class 10 Mathematics Statistics

Question. Compare the modal ages of two groups of students appearing for an entrance test:

Assignments For Class 10 Mathematics Statistics

Solution. 

Assignments For Class 10 Mathematics Statistics

For Group A:
Here the maximum frequency is 78, then the corresponding class 18 – 20 is modal class.

Assignments For Class 10 Mathematics Statistics

For group B:
Here the maximum frequency is 89, then the corresponding class 18 – 20 is the modal class.

Assignments For Class 10 Mathematics Statistics

Hence the modal age for the Group A is higher than that for Group B.

Question. The following distribution gives the daily income of 50 workers of a factory :

Assignments For Class 10 Mathematics Statistics

Convert the distribution to a ‘less than type’ cumulative frequency distribution and draw its ogive. Hence obtain the median of daily income.

Solution. 

Assignments For Class 10 Mathematics Statistics
Assignments For Class 10 Mathematics Statistics

Hence, Median of daily income = Rs 345

Question. The mean of a set of numbers is . If each number is multiplied by k, then find the mean of the new set. 
Solution.

Assignments For Class 10 Mathematics Statistics

Question. Find the value of x, if the mode of the following data is 25: 15, 20, 25,18,14,15, 25,15,18,16, 20, 25, 20, x, 18
Solution. The frequency table of the given data is as given below:

Assignments For Class 10 Mathematics Statistics

It is given that the mode of the given date is 25. So, it must have the maximum
frequency. That is possible only when x =25.
Hence, x = 25.

Question. The annual profits earned by 30 shops of a shopping complex in a locality are recorded in the table shown below:

Assignments For Class 10 Mathematics Statistics
Assignments For Class 10 Mathematics Statistics

If we draw the frequency distribution table for the above data, find the frequency corresponding to the class 20-25.
Solution. The frequency table is as follows:

Assignments For Class 10 Mathematics Statistics
Assignments For Class 10 Mathematics Statistics

The frequency corresponding to the class 20 – 25 is 4. 12

Question. From the following information, construct less than and more than Ogive and find out median from it.

Assignments For Class 10 Mathematics Statistics

Solution.

Assignments For Class 10 Mathematics Statistics
Assignments For Class 10 Mathematics Statistics

Question. A set of numbers consists of four 5’s, six 7’s, ten 9’s, eleven 12’s, three 13’s, two 14’s. Find the mode of this set of numbers.
Solution. Mode = 12

Assignments For Class 10 Mathematics Statistics

Since, It has highest frequency

Assignments for Class 10 Mathematics Statistics as per CBSE NCERT pattern

All students studying in Grade 10 Mathematics Statistics should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Mathematics Statistics exam for standard 10. We have made sure that all topics given in your textbook for Mathematics Statistics which is suggested in Class 10 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.

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  1. Solving Assignments for Mathematics Statistics Class 10 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
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Assignments For Class 10 Mathematics Statistics
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Can I get assignments and question banks for other subjects in Class 10 ?

On our website we have provided assignments for all subjects in Grade 10, all topic wise test sheets have been provided in a logical manner so that you can scroll through the topics and download the worksheet that you want.

I want practice assignments for all topics in my Class 10 Mathematics Statistics Textbook, where can I get it ?

You can easily get question banks, topic wise notes and questions and other useful study material from https://www.assignmentsbag.com without any charge

Are all assignments available for free and in PDF format ?

Yes all test papers for Mathematics Statistics Class 10 are available for free, no charge has been put so that the students can benefit from it. And offcourse all is available for download in PDF format and with a single click you can download all assignments.

What is the best website to download free assignments for Class 1 to Class 12 for all subjects ?

https://www.assignmentsbag.com is the best portal to download all assignments for all classes without any charges.