Important Questions of Statistics Mathematics | Zigya

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 Multiple Choice QuestionsMultiple Choice Questions

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41.

If the mean and variance of a binomial variate X are 43, 89respectively, then P(X = 2) =

  • 427

  • 1681

  • 827

  • 881


42.

The variance of the following data is
xi 6 10 14 1 24 28 30
fi 2 4 7 12 8 4 3

  • 33.4

  • 34.3

  • 43.4

  • 44.3


43.

If α  0, and the mean deviation of the observations , for k = 1, 2, ..., 50 about its median is 50, then α = ?

  • 4

  • 3

  • 2

  • 5


44.

Let X = x  N : 1  1  17 and Y = {ax + b : x  X and a, b  R, a > 0}. If mean and variance of elements of Y are 17 and 216 respectively then a + b is equal to :

  • 7

  • 9

  •  - 7

  •  - 27


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45.

Let the data 4, 10, x, y, 27 be in increasing order. If the median of data is 18 and its mean deviation about mean is 7.6 then the mean of this data is :

  • 17

  • 16

  • 16.5

  • 15.5


46.

Let xi1  i  10 be ten observation of a random variable X. If i = 110xi - p = 3and  i = 110xi - p2 = 9 where 0  p  R, then the standard deviation of these observations is 

  • 45

  • 35

  • 910

  • 710


47.

The mean and variance of 8 observations are 10 and 13.5 respectively. If 6 of these observations are 5, 7, 10, 12, 14, 15, then the absolute difference of the remaining two observations is :

  • 9

  • 5

  • 3

  • 7


 Multiple Choice QuestionsShort Answer Type

48.

If the variance of the following frequency distribution :

Class :      10-20 20-30 30-40

Frequency : 2        x        2

is 50, then x is equal to ....


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 Multiple Choice QuestionsMultiple Choice Questions

49.

The mean and variance of 7 observations are 8 and 16, respectively. If five observation are 2, 4, 10, 12, 14 then the absolute difference of the remaining two observations is :

  • 1

  • 2

  • 3

  • 4


50.

If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2 respectively, then a and b are the roots of the equation : 

  • x2 - 20x + 18 = 0

  • 2x2 - 20x + 19 = 0

  • x2 - 10x + 19 = 0

  • x2 - 10x + 18 = 0


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