Class 10 – Statistics – Previous Years Questions

Previous Years Questions Important Questions

Statistics – Previous Years Questions

  1. The mean and median of a distribution are 14 and 15 respectively. The value of mode is
    1. 16
    2. 17
    3. 18
    4. 13 [1 Mark] [CBSE 2020]

2. Find the mode of the following distribution: [2 Marks] [CBSE 2020]

Classes: 0-20 20-40 40-60 60-80 80-100
Frequency: 10 8 12 16 4

3. From the following distribution, find the median: [2 Marks] [CBSE 2020]

Classes:500-600600-700700-800800-900900-1000
Frequency: 36 32 32 20 30

4. The table below shows the salaries of 280 persons: [3 Marks] [CBSE 2018]

Salary (In thousand ₹)No. of persons
5 – 1049
10 – 15133
15 – 2063
20 – 2515
25 – 306
30 – 357
35 – 404
40 – 452
45 – 501

Calculate the median salary of the data.

5. 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. [3 Marks] [CBSE 2019]

Number of days0 – 66 -1212 – 1818-2424-3030-3636-42
Number of students 10 11 7 4 4 3 1

6. The mean of the following distribution is 18. Find the frequency of the class 19 – 21. [4 Marks] [CBSE 2018]

Class11 – 1313 – 1515 – 1717 – 1919 – 2121 – 2323 – 25
Frequency36913f54

7. The following distribution gives the daily income of 50 workers of a factory: [4 Marks] [CBSE 2018]

Daily income (in ₹)100 – 120120-140140 – 160160 – 180180-200
Number of workers12146810

Convert the distribution above to a less than type cumulative frequency distribution and draw its ogive.

8. Change the following distribution to a ‘more than type’ distribution. Hence draw the ‘more than type’ ogive for this distribution. [4 Marks] [CBSE 2019]

Class interval:20-3030-4040-5050-6060-7070-8080-90
Frequency: 10 8 12 24 6 25 15

9. Change the following distribution into ‘less than’ type distribution and draw its ogive. Hence find the median of the distribution. [4 Marks] [CBSE 2020]

MarksNumber of students
20 – 30 4
30 – 40 10
40 – 50 12
50 – 60 14
60 – 70 8
70 – 80 3
80 – 90 4
90 – 100 5

10. Find the mean, mode and median of the following frequency distribution : [6 marks] [CBSE 2010]

Class:0 – 1010 – 2020 – 3030 – 4040 – 5050 – 6060 – 70
Frequency:447101285
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