1. Father of the Statistics ....
A) Cantor B) Charles Babbage
C) Fisher D) Euler
Ans: C
2. If x < 5 and the range of the distribution x, 18, 10, 15, 25, 6, 20 is 21 then x =
A) 11 B) 14 C) 20 D) 4
Ans: D
3. If is the mean of x1, x2, x3.... xn then the mean of x1- a, x2 - a, x3 - a .... xn- a is ....
A) + a B) - a C) /a D) a
Ans: A
4. Arithmetic mean of all factors of 10 is ....
A) 5 B) 4.5 C) 10 D) 6
Ans: B
5. The mean of 8 numbers is 10. If each number is multiplied by 2. Then new mean is .....
A) 10 B) 12 C) 20 D) 25
Ans: C
6. If the mean of the following data is 13.5 then a =
A) 4 B) 4.5 C) 5.5 D) 5
Ans: D
7. From data A = 125, h = 50, N = 50 & ∑fiui = 26 then mean =
A) 125 B) 126 C) 151 D) 26
Ans: C
8. Which of the following is not a measure of central tendency?
A) Range B) Mode C) Median D) Mean
Ans: A
9. Formula of step Deviation method to find mean.
Ans: C
10. median marks =
A) 20 B) 22 C) 28 D) 37
Ans: B
11. First ‘n’ natural numbers mode is ........
A) 1 B) n C) n - 1 D) Not defined
Ans: D
12. x/5, x, x/4, x/2 & x/3 (x > 0) median is 7 then x =
A) 20 B) 21 C) 28 D) 7
Ans: B
13. First ‘n’ even natural numbers mean is .....
Ans: A
14. A data has 111 observations arranged in descending order. Which observation represents the median of the data?
A) 50th B) 55th C) 56th D) None
Ans: C
15. The sum of lower limit of model class and upper limit of median class is
A) 80 B) 90 C) 70 D) 40
Ans: C
16. The mean of a - 3d, a - d, a + d & a + 3d is
A) 2a B) 3a C) 4a D) a
Ans: C
17. The median of first 8 prime numbers is
A) 9 B) 5 C) 11 D) 7
Ans: A
18. Which of the following central tendency is used in Tailoring Factory to stitching the dresses to students bulky?
A) Mean B) Median C) Mode D) None
Ans: C
19. If the mean of first ‘n’ natural numbers is 9 then n =
A) 10 B) 16 C) 17 D) 15
Ans: C
20. Formula of mode is
Ans: D
21. Which of the following is not a measure of central tendency?
A. Mean B. Median C. Mode D. Range
Ans: D
22. The Arithmetic mean of first ‘n’ natural numbers is______
Ans:B
23. Which of the following cannot be determined graphically?
A. Mean B. Median C. Mode D. All
Ans: A
24. Mode is _____ frequent value.
A. least B. most C. first D. middle most
Ans: B
25. The median of a given frequency distribution is found graphically with the help of ____
A. histogram B. frequency curve C. frequency polygon D. ogive
Ans: D
26. The algebraic sum of the deviations of a frequency distribution from its mean is _____
A. always positive B. always negative C. 0 D. a non-zero number
Ans: C
27. The mean of ‘n’ observations is . A constant score ‘a’ is to be added to each observation then the new mean is ______
Ans: A
28. The mean of ‘n’ observations is . If the first observation is increased by 1, the second by 2, the third by 3, and so on, then the new mean is ______
Ans: B
29. If 35 is removed from the data 30, 34, 35, 36, 37, 38, 39, 40 then the median increases by
A. 2 B. 1.5 C. 1 D. 0.5
Ans: D
30. If the mean of first ‘n’ natural numbers is 15, then n =
A. 15 B. 30 C. 14 D. 29
Ans: D
31. If the arithmetic mean of 7, 8, x, 11, 14 is x, then x =
A. 9 B. 9.5 C. 10 D. 10.5
Ans: C
32. The mean of first ‘n’ odd natural numbers is then n =
A. 9 B. 81 C. 27 D. 18
Ans: B
33. The mean of first ‘n’ natural numbers is then n =
A. 5 B. 4 C. 9 D. 10
Ans: C
34. The mean of 6, 7, x, 8, y, 14 is 9, then
A. x + y = 21 B. x + y = 19 C. x – y = 19 D. x – y = 21
Ans: B
35. If the mean of a frequency distribution is 8.1 and Σ𝑓𝑖𝑥𝑖 = 132 + 5𝑘, Σ𝑓𝑖 = 20, then 𝑘 = _____
A. 3 B. 4 C. 5 D. 6
Ans: D
17. The median of first 10 prime numbers is _____
A. 11 B. 12 C. 13 D. 14
Ans: B
36. The mode of the data 64, 60, 48, x, 43, 48, 43, 34 is 48, then x - 3 =
A. 44 B. 45 C. 46 D. 48
Ans: B
37. The mean of x, x + 3, x + 6, x + 9 and x + 12 is 10, then x =____
A. 1 B. 3 C.4 D.6
Ans: C
38. Median of the data 17, 28, 14, 36, 45, 54, 19, 37, 44 is______
A. 36 B. 37 C. 28 D. 36.5
Ans: A