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Statistics

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  1. 51.If the mean of the frequency distribution Class : 0-10 10-20 20-30 30-40 40-50 Frequency :…
  2. 52.Let the mean and variance of 8 numbers x, y, 10,12,6,12,4,8 be 9 and 9.25 respectively.
  3. 53.If the mean and variance of the frequency distribution x_i 2 4 6 8 10 12 14 16 f_i 4 4 15 …
  4. 54.A random variable X takes values 0, 1, 2, 3 with probabilities 2a+130, 8a-130, 4a+130, b r…
  5. 55.If the mean and the variance of the data Class, 4--8, 8--12, 12--16, 16--20 | ---|---|---|…
  6. 56.Let X = x N : 1 x 19 and Y = ax+b : x X, a,bR for some a, b R.
  7. 57.If the mean of the data Class, 5--10, 10--15, 15--20, 20--25, 25--30, 30--35 | ---|---|---…
  8. 58.Suppose that the mean and median of the non-negative numbers 21, 8, 17, a, 51, 103, b, 13,…
  9. 59.The mean deviation about the mean for the data x_i, 5, 7, 9, 10, 12, 15 | ---|---|---|---|…
  10. 60.A variable X takes values 0, 0, 2, 6, 12, 20, , n(n-1) with frequencies n0, n1, n2, n3, , …
  11. 61.Marks obtained by all the students of class 12 are presented in a frequency distribution w…
  12. 62.For a statistical data of 10 values, a student obtained the mean as 5.5 and _i=1^10x_i^2 =…
  13. 63.Let x_1, x_2, , x_10 be ten observations such that _i=1^10(x_i-2) = 30 and _i=1^10(x_i-)^2…
  14. 64.The mean and standard deviation of 100 observations are 40 and 5.1, respectively.
  15. 65.The mean and standard deviation of 15 observations were found to be 12 and 3 respectively.
  16. 66.Let the mean and the variance of 6 observations a, b, 68, 44, 48, 60 be 55 and 194, respec…
  17. 67.Let the six numbers a_1, a_2, a_3, a_4, a_5, a_6 be in A.P.
  18. 68.The mean and variance of the marks obtained by the students in a test are 10 and 4 respect…
  19. 69.Three rotten apples are mixed accidentally with seven good apples and four apples are draw…
  20. 70.Let X = 11, 12, 13, , 40, 41 and Y = 61, 62, 63, , 90, 91 be the two sets of observations.
  21. 71.The mean and variance of 7 observations are 8 and 16 respectively.
  22. 72.Let the mean and standard deviation of marks of class A of 100 students be respectively 40…
  23. 73.The mean and variance of 5 observations are 5 and 8 respectively.
  24. 74.Let 9=x_1<x_2<<x_7 be in an A.P.
  25. 75.The mean and variance of a set of 15 numbers are 12 and 14 respectively.
  26. 76.If the mean and variance of the frequency distribution are 9 and 15.08 respectively, then …
  27. 77.Let the mean and variance of 8 numbers x, y, 10, 12, 6, 12, 4, 8 be 9 and 9.25 respectivel…
  28. 78.Let the mean and variance of 12 observations be 92 and 4 respectively.
  29. 79.If the mean of the frequency distribution is 28, then its variance is _______.
  30. 80.Let m be the mean and be the standard deviation of the distribution where f_i=62.
  31. 81.Let sets A and B have 5 elements each.
  32. 82.Let the positive numbers a_1, a_2, a_3, a_4 and a_5 be in a G.P.
  33. 83.Let the mean of the data be 5.
  34. 84.The mean of the numbers a, b, 8, 5, 10 is 6 and their variance is 6.8.
  35. 85.The mean and standard deviation of 50 observations are 15 and 2 respectively.
  36. 86.The mean and variance of the data 4, 5, 6, 6, 7, 8, x, y, where x < y, are 6 and 94 respec…
  37. 87.The mean and standard deviation of 15 observations are found to be 8 and 3 respectively.
  38. 88.Let the mean and the variance of 5 observations x_1,x_2,x_3,x_4,x_5 be 245 and 19425 respe…
  39. 89.The number of values of a N such that the variance of 3, 7, 12, a, 43-a is a natural numbe…
  40. 90.If the mean deviation about the mean of the numbers 1, 2, 3,, n, where n is odd, is 5(n+1)…
  41. 91.If the mean deviation about median for the numbers 3, 5, 7, 2k, 12, 16, 21, 24, arranged i…
  42. 92.The mean and standard deviation of 40 observations are 30 and 5 respectively.
  43. 93.The mean and variance of 10 observations were calculated as 15 and 15 respectively by a st…
  44. 94.Let the mean and the variance of 20 observations x_1,x_2,,x_20 be 15 and 9, respectively.
  45. 95.If the variance of 10 natural numbers 1,1,1,,1,k is less than 10, then the maximum possibl…
  46. 96.Let X_1, X_2, , X_18 be eighteen observations, such that _i=1^18(X_i-)=36 and _i=1^18(X_i-…
  47. 97.The mean age of 25 teachers in a school is 40yr.
  48. 98.Let in a series of 2n observations, half of them are equal to a and remaining half are equ…
  49. 99.Consider a set of 3n numbers having variance 4.
  50. 100.Consider three observations a, b and c, such that b=a+c.