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Statistics

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  1. 1.A set of four observations has mean 1 and variance 13.
  2. 2.Let the mean and the variance of seven observations 2,4, ,8, ,12,14, < , be 8 and 16 respe…
  3. 3.A data consists of 20 observations x_1,x_2, ,x_20.
  4. 4.A variable X takes values 0,0,2,6,12,20, , n(n-1) with frequencies ^n C_0, ^n C_1, ^n C_2,…
  5. 5.The mean deviation about the mean for the data gathered x_i 5 7 9 10 12 15 f_i 8 6 2 2 2 6…
  6. 6.For 10 observations x_1,x_2, ,x_10, if _i=1^10(x_i+2)^2=180 and _i=1^10(x_i-1)^2=90, then …
  7. 7.Suppose that the mean and median of the non-negative numbers 21,8,17, a, 51,103, b, 13,67,…
  8. 8.The mean and variance of n observations are 8 and 16, respectively.
  9. 9.If the mean of the data Class5-1010-1515-2020-2525-3030-35Frequency2k2854k + 15is 21, then…
  10. 10.The mean and variance of 10 observations are 9 and 34.2 , respectively.
  11. 11.Let X=x N:1 x 19 and for some a,b R,Y=ax+b:x X.
  12. 12.The mean and variance of a data of 10 observations are 10 and 2 , respectively.
  13. 13.If the mean and the variance of the data gathered 4-8 8-12 12-16 16-20 3 4 7 gathered are …
  14. 14.Let the mean and variance of 8 numbers -10,-7,-1, x, y, 9,2,16 be (7)/(2) and (293)/(4), r…
  15. 15.If the mean deviation about the median of the numbers k,2k,3k, .,1000k is 500 , then k^2 i…
  16. 16.A random variable X takes values 0, 1, 2, 3 with probabilities (2a+1)/(30), (8a-1)/(30), (…
  17. 17.The mean and standard deviation of 100 observations are 40 and 5.1 , respectively.
  18. 18.Let the mean and the standard deviation of the observation 2,3,3,4,5,7, a, b be 4 and √2 r…
  19. 19.Let the Mean and Variance of five observations x_1=1,x_2=3,x_3=a,x_4=7 and x_5=b,a>b, be 5…
  20. 20.If the mean and the variance of 6,4, a, 8, b, 12,10,13 are 9 and 9.25 respectively, then a…
  21. 21.Let x_1,x_2,...,x_10 be ten observations such that _i=1^10(x_i-2)=30, _i=1^10(x_i- )^2=98,…
  22. 22.For a statistical data x_1,x_2, ,x_10 of 10 values, a student obtained the mean as 5.5 and…
  23. 23.Marks obtains by all the students of class 12 are presented in a freqency distribution wit…
  24. 24.If the variance of the frequency distribution x c 2c 3c 4c 5c 6c f 2 1 1 1 1 1 is 160, the…
  25. 25.The frequency distribution of the age of students in a class of 40 students is given below…
  26. 26.The mean and standard deviation of 20 observations are found to be 10 and 2 , respectively…
  27. 27.Let , R.
  28. 28.Consider 10 observations x_1,x_2, ,x_10 such that _i=1^10(x_i- )=2 and _i=1^10(x_i- )^2=40…
  29. 29.Let the median and the mean deviation about the median of 7 observation 170,125,230,190,21…
  30. 30.Let the mean and the variance of 6 observations a, b, 68,44,48,60 be 55 and 194, respectiv…
  31. 31.Let M denote the median of the following frequency distribution Class 0 - 4 4 - 8 8 - 12 1…
  32. 32.If the mean and variance of five observations are [(24)/(5)] and [(194)/(25)] respectively…
  33. 33.Let a_1,a_2, a_10 be 10 observations such that _k=1^10a_k=50 and _<ja_k a_j=1100.
  34. 34.The mean and standard deviation of 10 observations are 20 and 8 respectively.
  35. 35.Let the mean of 6 observations 1,2,4,5,x and y be 5 and their variance be 10 .
  36. 36.Let sets A and B have 5 elements each.
  37. 37.Let be the mean and be the standard deviation of the distribution x_i 0 1 2 3 4 5 f_i k+2 …
  38. 38.Let the mean and variance of 12 observations be [(9)/(2)] and 4 respectively.
  39. 39.The mean and variance of a set of 15 numbers are 12 and 14 respectively.
  40. 40.Let the mean and standard deviation of marks of class A of 100 students be respectively 40…
  41. 41.Let S be the set of all values of a_1 for which the mean deviation about the mean of 100 c…
  42. 42.The variance of the numbers 8,21,34,47, , 320 is _______.
  43. 43.Let a,b,c N and a<b<c.
  44. 44.Let the mean and the standard deviation of the probability distribution .tg tdborder-color…
  45. 45.The variance ^2 of the data x_i 0 1 5 6 10 12 17 f_i 3 2 3 2 6 3 3 is _________.
  46. 46.If the mean and variance of the data 65,68,58,44,48,45,60, , ,60 where > , are 56 and 66.2…
  47. 47.The mean and standard deviation of 15 observations were found to be 12 and 3 respectively.
  48. 48.The mean and standard deviation of the marks of 10 students were found to be 50 and 12 res…
  49. 49.Let the mean of the data x 1 3 5 7 9 Frequency (f) 4 24 28 8 be 5.
  50. 50.Let the positive numbers a_1, a_2, a_3, a_4 and a_5 be in a G.P.