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Statistics — BITSAT Mathematics PYQs

19 previous year questions from Statistics with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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Statistics — BITSAT Mathematics PYQs

If the variance of the data 2,3,5,8,12 is ^2 and the mean deviation from the median for this data is M , then ^2- M =

The mean of n items is X . If the first item is increased by 1 , second by 2 and so on, the new mean is :

The variance of 20 observations is 5 . If each observation is multiplied by 2 , then the new variance of the resulting observation is

If the function f(x) , defined below, is continuous on the interval [0,8] , then f(x)= array cc x^2+a x+b & , 0 x 2 3 x+2, & 2 x 4 2 a x+5 b, & 4 x 8 array .

The standard deviation of 5 scores 1,2,3,4,5 is a . The value of ' a ' is

Find the mean deviation about the mean for the data 4,7,8,9,10,12,13,17

The mean of five observations is 4 and their variance is 5.2 . If three of these observations are 1 , 2 and 6 , then the other two are

The arithmetic mean of a set of observation is X ¯ . If each observation is divided by α and increased by 10 , then the mean of the new series is

If the variance of the observations x 1 , x 2 , … … , x n is σ 2 , then the variance of α x 1 , α x 2 , … … , α x n , α ≠ 0 i

Coefficient of variation of two distributions are 50 and 60 and their arithmetic means are 30 and 25 , respectively. Difference of their standard deviation is

The arithmetic mean of the data 0,1,2, , n with frequencies 1, ⁴ C ₁ ⁴ C ₂, . ., ^ C _ a is

The mean square deviation of a set of n observation x ₁, x _ 2² , x _ n about a point c is defined as 1 n _ i=1 ^ n (x_ i -c )² The mean square deviations about -2 and 2 are 18 and

IfM. D. is 12, the value of S.D. will be

If the value of mode and mean is 60 and 66 respectively, then the value of median is

Find the variance of the data given below

If sample A contains 100 observations 101,102, 200 and sample B contains 100 obsections 151,152, 250, then ratio of variance v _ A / v _ B =

Find the value of ( _ x 0 (1+x^2 ) - 1-x^2 x^2 )

Mean of 25 observations was found to be 78.4. But later on it was found that 96 was misread 69 . The correct mean is

If: (p ) Raju is tall and (q ) : Raju is intelligent, then the symbolic statement ( p q ) means

Statistics — BITSAT Mathematics PYQs

If the variance of the data 2,3,5,8,12 is ^2 and the mean deviation from the median for this data is M , then ^2- M =

The mean of n items is X . If the first item is increased by 1 , second by 2 and so on, the new mean is :

The variance of 20 observations is 5 . If each observation is multiplied by 2 , then the new variance of the resulting observation is

If the function f(x) , defined below, is continuous on the interval [0,8] , then f(x)= array cc x^2+a x+b & , 0 x 2 3 x+2, & 2 x 4 2 a x+5 b, & 4 x 8 array .

The standard deviation of 5 scores 1,2,3,4,5 is a . The value of ' a ' is

Find the mean deviation about the mean for the data 4,7,8,9,10,12,13,17

The mean of five observations is 4 and their variance is 5.2 . If three of these observations are 1 , 2 and 6 , then the other two are

The arithmetic mean of a set of observation is X &#175; . If each observation is divided by &#945; and increased by 10 , then the mean of the new series is

If the variance of the observations x 1 , x 2 , &#8230; &#8230; , x n is &#963; 2 , then the variance of &#945; x 1 , &#945; x 2 , &#8230; &#8230; , &#945; x n , &#945; &#8800; 0 i

Coefficient of variation of two distributions are 50 and 60 and their arithmetic means are 30 and 25 , respectively. Difference of their standard deviation is

The arithmetic mean of the data 0,1,2, , n with frequencies 1, ⁴ C ₁ ⁴ C ₂, . ., ^ C _ a is

The mean square deviation of a set of n observation x ₁, x _ 2² , x _ n about a point c is defined as 1 n _ i=1 ^ n (x_ i -c )² The mean square deviations about -2 and 2 are 18 and

IfM. D. is 12, the value of S.D. will be

If the value of mode and mean is 60 and 66 respectively, then the value of median is

Find the variance of the data given below

If sample A contains 100 observations 101,102, 200 and sample B contains 100 obsections 151,152, 250, then ratio of variance v _ A / v _ B =

Find the value of ( _ x 0 (1+x^2 ) - 1-x^2 x^2 )

Mean of 25 observations was found to be 78.4. But later on it was found that 96 was misread 69 . The correct mean is

If: (p ) Raju is tall and (q ) : Raju is intelligent, then the symbolic statement ( p q ) means

The arithmetic mean of a set of observation is X ¯ . If each observation is divided by α and increased by 10 , then the mean of the new series is

If the variance of the observations x 1 , x 2 , … … , x n is σ 2 , then the variance of α x 1 , α x 2 , … … , α x n , α ≠ 0 i