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. | P a g e 35. Find the Mean and Mode of the following frequency distribution : Class Frequency 0 10 8 10 20 7 20 30 15 30 40 20 40 50 12 50 60 8 60 70 10 22| P a g e 3 4 3 4=12 1 36. , 50 200 30,000 , 300 (i) 1 (ii) ( ) 2 ( ) 300 27,000 2 (iii) , 30,000 ?
   Board 20255 markslong answerRepeated: 2022,2025,2026
2. The mean of the following frequency distribution is 35. Find the values of x and y, if the sum of frequencies is 25 : Class Frequency 0-10 10-20 20-30 30-40 40-50 50-60 60-70 Page 11 of 16 5m 3m 3m 3m 3m 3m 3m 3m 3m 3m (i) () (ii)(a) 37. 3 .09 30° 6 m Page 12 …
   Board 20265 markslong answerRepeated: 2025,2026
3. If the mean and mode of a data are 12 and 21 respectively, then its median is : (a) 6 (b)13.5 (c) 15 (d) 14
   Board 20261 markMCQRepeated: 2025,2026
4. The mean and median of a frequency distribution are 43 and 43-4 respectively. The mode of the distribution is : (A) 43·4 (B) 42·4 (C) 44-2 (D) 49·3
   Board 20261 markMCQRepeated: 2025,2026
5. Mode and Mean of a data are 15x and 18x, respectively. Then the median of the data is : (A) x (B) 11x (C) 17x (D) 34x
   Board 20251 markMCQRepeated: 2025,2026
6. (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 the other two sides are divided in the same ratio. 5 OR (b) Sides AB and AC and median AD to DABC are respectively proportional to si…
   Board 20245 markslong answerRepeated: 2023,2024
7. If value of each observation in a data is increased by 2, then median of the new data 1 (A) increases by 2 (B) increases by 2n (C) remains same (D) decreases by
   Board 20241 markMCQRepeated: 2023,2024
8. If the value of each observation of a statistical data is increased by 3, then the mean of the data (A)remains unchanged (B) increases by 3 (C) increases by 6 (D) increases by 3n
   Board 20231 markMCQRepeated: 2023,2024
9. If mode of the following frequency distribution is 55, then find the value of x. Class : 30 - 45 60 - 75 0 - 15 15 - 30 45 - 60 75 - 90 15 Frequency : 10 10 12
   Board 20221 markvery shortRepeated: 2022,2025
10. (A) 23 (B) 26 (C) 25 (D) 30 16. The mean and median of the data are 35.5 and 32 respectively. The value of mode for this data is:
    Sample paper 2026-271 markMCQRepeated: 2025,2026
11. If mode of some data is 7 and their mean is also 7 then their median is (a) 10 (b) 9 (c) 8 (d) 7
    CBSE practice 2023-241 markMCQRepeated: 2025,2026
12. (A) State and prove Basic Proportionality Theorem. OR (B) In the given figure, CM and RN are respectively the medians of · ABC and · PQR. If · ABC · PQR, then prove that : (i) ·AMC~ PNR (i) ·CMB··RNQ
    Board 20265 markslong answer
13. An SBI health insurance agent found the following data for distribution of ages of 100 policy holders. The health insurance policies are given to persons of age 15 years and onwards, but less than 60 years. Age (in yrs) Numberof policy holders 15 - 20 20 - 25 …
    Board 20265 markslong answer
14. | P a g e 35. in the following table, if the mean of the given data is 18. Hence find the mode. Daily Allowance Number of Children 11 13 7 13 15 6 15 17 9 17 19 13 19 21 f 21 23 5 23 25 4 22| P a g e 3 4 3 4=12 1 36. , 300 , 50 , 350 , 400 10 (i) , 1 (ii) 8 1 …
    Board 20255 markslong answer
15. In a test, the marks obtained by 100 students (out of 50) are given below : 3 Marks obtained : 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 Number of students : 12 23 34 25 6 Find the mean marks of the students.
    Board 20243 marksshort answer
16. The middle most observation of every data arranged in order is called : 14. mode (b) median (a) (c) mean (d) deviation
    Board 20241 markMCQ
17. AD is a median of ·ABC with vertices A(5, - 6), B(6, 4) and C(O, 0). Length AD is equal to : ·68 units (a) (b) 2/15 units (c) V101 units (d) 10 units
    Board 20241 markMCQ
18. Page 11 18. After an examination, a teacher wants to know the marks obtained by maximum number of the students in her class. She requires to calculate _____ of marks. 1 (A) median (B) mode (C) mean (D) range Page 12  19  20      (A)   …
    Board 20241 markMCQ
19. BINGO is game of chance. The host has 75balls numbered 1 through 75. Each player has a BINGO card with some numbers written on it. The participant cancels the number on the card when called out a number written on the ball selected at random. Whosoever cancels…
    Board 20244 marksshort answer
20. (a) Sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of OR (b) Through the mid-point M of the side CD of a parallelogram ABCD, the line BM is drawn intersecting AC in L and AD (produced) in E. Prove…
    Board 20235 markslong answer

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