Statistics: Class 10 Previous Year Questions

Statistics questions asked in CBSE board exams

Repeated questions first. Open the free app to see each question as it appeared in the paper, with its marking scheme.

1. (A) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that other two sides are divided in the same ratio. OR (B) Sides AB and BC and median AD of a ·ABC are respectively proportional to sides …
   Board 20245 markslong answerRepeated: 2023,2024
2. The mean and median of a statistical data are 21 and 23 respectively. The mode of the data is : 17 (b) 22 (a) 27 (c) (d) 23
   Board 20241 markMCQRepeated: 2023,2024
3. Median and Mode of a distribution are 25 and 21 respectively. Mean of the data using empirical relationship is : (a) 27 (b) 29 (c) 18 (d) 3 29 2 A 1
   Board 20231 markMCQRepeated: 2023,2024
4. | P a g e 35. (a) The lengths of 40 leaves of a plant are measured, correct to the nearest millimetre and data obtained is represented in the following table : Length in (mm) Number of leaves 100 120 8 120 140 9 140 160 12 160 180 5 180 200 6 Find the median l…
   Board 20255 markslong answer
5. The class mark of the median class of the following data is : Class Interval 10 25 25 40 40 55 55 70 70 85 85 100 Frequency 2 3 7 6 6 6 (A) 40 (B) 55 (C) 47·5 (D) 62·5
   Board 20251 markMCQ
6. | P a g e 35. The following data gives the information on the observed lifetime (in hours) of 200 electrical components : Lifetime (in hours) Number of electrical components 0 20 10 20 40 35 40 60 50 60 80 60 80 100 30 100 120 15 Find the mean lifetime (in hou…
   Board 20255 markslong answer
7. In the formula of mode given by mode = l + f1 denotes the : (A) frequency of the modal class (B) frequency of class preceding modal class (C) frequency of class succeeding modal class (D) cumulative frequency of modal class
   Board 20251 markMCQ
8. (a) In the given figure, altitudes CE and AD of DABC intersect each other at the point P. 1+2+2 Show that (i) D AEP D CDP (ii) D ABD D CBE (iii) D AEP D ADB OR (b) AD and PM are medians of triangles ABC and PQR, respectively, where D ABC D PQR. Prove that PM A…
   Board 20245 markslong answer
9. Gurpreet is very fond of doing research on plants. She collected some leaves from different plants and measured their lengths in mm. C3ABD/1 / 31 Page 13 a (mm ): 70-80 80-90 90-100 100-110 110-120 120-130130-140 : a h 12 () 0 h () (i)a (b) 1 AQ :Q A=30 c PAQ=…
   Board 20244 marksshort answer
10. If a certain variable x divides a statistical data arranged in order into two equal parts; then the value of x is called the : (a) mean (b) median (d) mode (c) range of the data.
    Board 20241 markMCQ
11. Page 21 37. Heart Rate : The heart rate is one of the ‘vital signs’ of health in the human body. It measures the number of times per minute that the heart contracts or beats. While a normal heart rate does not guarantee that a person is free of health problems…
    Board 20244 marksshort answer
12. The annual rainfall record of a city for 66 days is given in the following table : 1 Rainfall (in cm) : 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 Number of days : 22 10 8 15 5 6 The difference of upper limits of modal and median classes is : (A) 10 (B) 15…
    Board 20241 markMCQ
13. Find the mean and the median of the following data : Marks Number of Students 0 10 3 10 20 5 20 30 16 30 40 12 40 50 13 50 60 20 60 70 6 70 80
    Board 20235 markslong answer
14. The table given below shows the daily expenditure on food of 25 households in a locality : Daily 200 - 250 100 - 150 150 - 200 250 - 300 300 - 350 expenditure () 12 Number of household Find the mean daily expenditure on food. Also, find the mode of the data. 3…
    Board 20235 markslong answer
15. Find the mode of the following frequency distribution : 2 Class 0 20 20 40 40 60 60 80 80 100 Frequency 8 7 12 5
    Board 20221 markvery short
16. Find the mode ofthe following frequency distribution : Class : 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 Frequency : 25 30 45 42 35
    Board 20221 markvery short
17. Find the mean of the following frequency distribution : Class : 10 15 15 20 20 - 25 25 - 30 30 - 35 Frequency : 10
    Board 20221 markvery short
18. The median of following frequency distribution is 25. Find the value of x. 10 - 20 Class : 0 -10 20 - 30 30 - 40 40 - 50 Frequency : 10 I 1225150 1 ElE 13.119 (1) (2) CD, BC BD 1 (3 = 1.73 )
    Board 20221 markvery short
19. The following table shows the age of patients admitted in a hospital during a particular week : Age (in years) 5 15 15 25 25 35 35 45 45 55 55 65 Number of Patients 5 12 20 24 15 4 Find the mean age of the patients.
    Board 20221 markvery short
20. (A) The mean of the following distribution is 48 and sum of all the frequencies is 50. Find the missing frequencies x and y. Class 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 Frequency 8 6 x 11 y 3 OR Q30. (B) The distribution below gives the weight of 50 students…
    Sample paper 2026-273 marksshort answer

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