class 10 statistics board questions

Class 10 Statistics: Mean, Median, Mode, and Graphical

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Statistics Questions from CBSE Board Exam

1. The mean and median of a frequency distribution are 43 and 43 4 respectively. The mode is :
(a) 43. 4 (b) 42. 4 (c) 44. 2 (d) 49. 3

2. Using empirical relationship, the mode of a distribution whose mean is 7·2 and the median 7·1, is :
(a) 6·2 (b) 6·3 (c) 6·5 (d) 6·9

3. If the mean and the mode of a distribution are 15 and 18 respectively, then the median of the distribution is :
(a) 17 (b) 15 (c) 16 (d) 18

4. If every term of the statistical data consisting of n terms is decreased by 2, then the mean of the data :
(a) decreases by 2 (b) remains unchanged

5. Assertion (A) : If the Mean and the Median of a distribution are 169 and 170 respectively, then its Mode is 172.

Reason (R) : The relation between Mean, Median and Mode is : Mode = 3 Median - 2 Mean

Select the correct answer
(a) Both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

5 marks questions

1. Find the mean and the median for the following frequency distribution:
Class 11-13 13-15 15-17 17-19 19-21 21-23 23-25
Frequency 7 6 9 13 20 5 4

2. A survey regarding the heights (in cm) of 50 girls of class X of a school was conducted and the following data was obtained : Find the mean and mode

Height (in cm) 120-130 130-140 140-150 150-160 160-170
Number of girls 2 8 12 20 8

3. 250 apples of a box were weighed and the distribution of masses of the apples is given in the following table
Mass (in grams) 80 — 100 100 — 120 120 — 140 140 — 160 160 — 180
Number of apples 20 60 70 X 60

(i) Find the value of x and the mean mass of the apples. (ii) Find the modal mass of the apples.

4. Case study/passage based questions. Each question is of 4 marks.
India meteorological department observes seasonal and annual rainfall every year in different sub-divisions of our country.

It helps them to compare and analyse the results. The table given below shows sub-division wise seasonal (monsoon) rainfall (mm) in 2018

Rainfall (mm) 200-400 400-600 600-800 800-1000 1000-1200
1200-1400 1400-1600 1600-1800

Number of Sub-divisions 2 4 7 4 2 3 1 1

Based on the above information, answer the following questions
(I) Write the modal class.
(II) Find the median of the given data.
OR, Find the mean rainfall in this season.
(III) If sub-division having at least 1000 mm rainfall during monsoon season, is considered good rainfall sub-division, then how many sub-divisions had good rainfall?

Download questions from cbse Board Papers
Class 10 Maths

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