CBSE Class 10 Mathematics Statistics Worksheet Set 01

Chapter-wise Worksheets for Class 10 Mathematics: Chapter 13 Statistics

Explore structured practice materials through the CBSE Class 10 Mathematics Statistics Worksheet Set 01. Tailored for Class 10 learners, utilizing these Mathematics worksheets ensures thorough preparation and strengthens problem-solving accuracy before final school evaluations.

Practice Class 10 Mathematics Worksheets: Chapter 13 Statistics

Access the complete worksheet PDF for Class 10 Mathematics below. Regular practice with these targeted academic tasks builds familiarity with standard question patterns and helps secure higher marks in final school examinations.

Case Based MCQs

Case I : Read the following passage and answer the questions

Toll Tax Collection

On a particular day, National Highway Authority of India (NHAI) checked the toll tax collection of a particular toll plaza in Rajasthan.

CBSE-Class-10-Mathematics-Statistics-Worksheet-Set-A

The following table shows the toll tax paid by drivers and the number of vehicles on that particular day.

Toll tax (in ₹)30-4040-5050-6060-7070-80
Number of vehicles801101207040

Question. If A is taken as assumed mean, then the possible value of A is
(a) 32
(b) 42
(c) 85
(d) 55

Answer: D

Question. If xi’s denote the class marks and di’s denote the deviation of assumed mean (A) from xi’s, then the minimum value of |di| is
(a) –200
(b) –100
(c) 0
(d) 100

Answer: C

Question. The mean of toll tax received by NHAI by assumed mean method is
(a) ₹ 52
(b) ₹ 52.14
(c) ₹ 52.50
(d) ₹ 53.50

Answer: B

Question. The mean of toll tax received by NHAI by direct method is
(a) equal to the mean of toll tax received by NHAI by assumed mean method
(b) greater than the mean of toll tax received by NHAI by assumed mean method
(c) less than the mean of toll tax received by NHAI by assumed mean method
(d) can't say

Answer: A

Question. The average toll tax received by NHAI in a day, from that particular toll plaza, is
(a) ₹ 21000.60
(b) ₹ 21900.80
(c) ₹ 30000.90
(d) ₹ 21898.80

Answer: D

Case II : Read the following passage and answer the questions

Distance Analysis of Public Transport Buses

Transport department of a city wants to buy some Electric buses for the city. For which they want to analyse the distance travelled by existing public transport buses in a day.

CBSE-Class-10-Mathematics-Statistics-Worksheet-Set-A-1

The following data shows the distance travelled by 60 existing public transport buses in a day.

Daily distance
travelled (in km)		200- 209210-219220-229230-239240-249
Number of buses41426106

Question. The upper limit of a class and lower limit of its succeeding class is differ by
(a) 9
(b) 1
(c) 10
(d) none of the options

Answer: B

Question. The median class is
(a) 229.5-239.5
(b) 230-239
(c) 220-229
(d) 219.5-229.5

Answer: D

Question. The cumulative frequency of the class preceding the median class is
(a) 14
(b) 18
(c) 26
(d) 10

Answer: B

Question. The median of the distance travelled is
(a) 222 km
(b) 225 km
(c) 223 km
(d) none of the options

Answer: D

Question. If the mode of the distance travelled is 223.78 km, then mean of the distance travelled by the bus is
(a) 225 km
(b) 220 km
(c) 230.29 km
(d) 224.29 km

Answer: D

Case III : Read the following passage and answer the questions

Electric Scooter Manufacturing Company

An electric scooter manufacturing company wants to declare the mileage of their electric scooters. For this, they recorded the mileage (km/charge) of 50 scooters of the same model. Details of which are given in the following table.

CBSE-Class-10-Mathematics-Statistics-Worksheet-Set-A-2

Question. The average mileage is
(a) 140 km/charge
(b) 150 km/charge
(c) 130 km/charge
(d) 144.8 km/charge

Answer: D

Question. The modal value of the given data is
(a) 150
(b) 150.91
(c) 145.6
(d) 140.9

Answer: B

Question. The median value of the given data is
(a) 140
(b) 146.67
(c) 130
(d) 136.6

Answer: B

Question. Assumed mean method is useful in determining the
(a) Mean
(b) Median
(c) Mode
(d) All of these

Answer: A

Question. The manufacturer can claim that the mileage for his scooter is
(a) 144 km/charge
(b) 155 km/charge
(c) 165 km/charge
(d) 175 km/charge

Answer: A

Short Answer Type Questions

Question. Given below are the ages of 25 students of class IX in a school. Prepare a discrete frequency distribution. 
15, 16, 16, 14, 17, 17, 16, 15, 15, 16, 16, 17, 15, 16, 16, 14, 16, 15, 14, 15, 16, 16, 15, 14, 15.
Answer: Frequency distribution of ages of 25 students

  statistics notes 1

Question. Form a discrete frequency distribution from the following scores:- 
Answer: 15, 18, 16, 20, 25, 24, 25, 20, 16, 15, 18, 18, 16, 24, 15, 20, 28, 30, 27, 16, 24, 25, 20, 18, 28, 27, 25, 24, 24, 18, 18, 25, 20, 16, 15, 20, 27, 28, 29, 16.

statistics notes 2

Question. The water tax bills (in rupees) of 30 houses in a locality are given below. Construct a grouped frequency distribution with class size of 10.
30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88,40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96, 102,110, 88, 74, 112, 14, 34, 44.
Answer: Here the maximum and minimum values of the variate are 112 and 14 respectively.
∴Range = 112 – 14 = 98.
It is given that the class size is 10, and
Range/Class size = 98/10=9.8
So, we shoule have 10 classes each of size 10.
The minimum and maximum values of the variate are 14 and 112 respectively. So we have to make the classes in such a way that first class includes the minimum value and the last class includes the maximum value. If we take the first class as 14-24 it includes the minimum value 14. If the last class is taken as 104-114, then it includes the maximum value 112. Here, we form classes by exclusive method. In the class 14-24, 14 is included but 24 is excluded. Similarly, in other classes, the lower limit is included and the upper limit is excluded.
In the view of above discussion, we construct the frequency distribution table as follows:
statistics notes 3
 
Question. The marks obtained by 40 students of class IX in an examination are given below :
18, 8, 12, 6, 8, 16, 12, 5, 23, 2,16, 23, 2, 10, 20, 12, 9, 7, 6, 5, 3, 5, 13, 21, 13, 15, 20, 24,1, 7, 21, 16, 13, 18, 23, 7, 3, 18, 17, 16. 
Present the data in the form of a frequency distribution using the same class size, one such class being 15-20 (where 20 is not included)
Answer: The minimum and maximum marks in the given raw data are 0 and 24 respectively. It is given that 15-20 is one of the class intervals and the class size is same. So, the classes of
equal size are
0-5, 5-10, 10-15, 15-20 and 20-25
Thus, the frequency distribution is as given under :
 
statistics notes 4
 
Question. The class marks of a distribution are :
47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102
Determine the class size, the class limits and the true class limits.
Answer: Here the class marks are uniformly spaced.
So, the class size is the difference between any two consecutive class marks
∴ Class size = 52 – 47 = 5
We know that, if a is the class mark of a class interval and h is its class size, then the lower and upper limits of the class interval are 
a –h/2 and a +h/2 respectively. 
∴ Lower limit of first class interval 
= 47 – 5/2 = 44.5 
And, upper limit of first class interval 
= 47 + 5/2 = 49.5 
So, first class interval is 44.5 – 49.5 
Similarly, we obtain the other class limits as given under :

statistics notes 5

Since the classes are exclusive (continuous) so the true class limits are same as the class limits.
 
Question. The class marks of a distribution are 26, 31, 36, 41, 46, 51, 56, 61, 66, 71. Find the true class limits.
Answer: Here the class marks are uniformly spaced.
So, the class size is the difference between any two consecutive class marks.
∴ Class size = 31 – 26 = 5.
If a is the class mark of a class interval of size h, then the lower and upper limits of the class interval are a – h/2 and a + h/2 respectively.
Here h = 5
∴ Lower limit of first class interval
= 26 – 5/2 = 23.5
∴ First class interval is 23.5 – 28.5.
Thus, the class intervals are:
23.5 – 28.5, 28.5 – 33.5, 33.5 – 38.5,38.5 – 43.5,43.5 – 48.5, 48.5 – 53.5 
Since the classs are formed by exclusive method. Therefore, these limits are true class limits.

 

Students must free download and practice these worksheets to gain more marks in exams. CBSE Class 10 Mathematics Statistics Worksheet Set A

Free study material for Mathematics

Download Class 10 Mathematics Chapter 13 Statistics Practice Worksheets

Practice Exercises for Class 10 Mathematics Chapter 13 Statistics

Review targeted practice exercises for Class 10 Mathematics Chapter 13 Statistics. Curated to match official CBSE guidelines, these printable problem sets support daily revision and improve overall test readiness.

Step-by-Step Solutions and Practice Guidelines

Built using official NCERT guidelines for Class 10 Mathematics, these practice sheets provide reliable academic support. Cross-reference your completed work with our detailed solutions to learn standard answer-writing formats for CBSE exams.

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Consistent engagement with these exercises builds familiarity with recurring exam themes. If specific areas within Chapter 13 Statistics cause trouble, utilize our dedicated NCERT solutions for Class 10 Mathematics to clear up doubts immediately.

FAQs

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Yes, Class 10 Mathematics worksheets for Chapter 13 Statistics focus on activity-based learning and also competency-style questions. This helps students to apply theoretical knowledge to practical scenarios.

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