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BITSAT Statistics PYQs with Solutions

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

19 questionsMathematics2009–2024Answers + solutions

About Statistics PYQs

Statistics has 19 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 19 questions in this list come from BITSAT (19), spanning 2009 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2024: 4
  • 2023: 2
  • 2022: 1
  • 2018: 1
  • 2017: 2
  • 2015: 2
  • 2014: 1
  • 2013: 2
  • 2012: 1
  • 2010: 2
  • 2009: 1

Statistics questions with solutions

1

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

BITSAT 2024 Solution
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2

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 :

BITSAT 2024 Solution
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3

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

BITSAT 2024 Solution
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4

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 .

BITSAT 2024 Solution
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5

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

BITSAT 2023 Solution
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6

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

BITSAT 2023 Solution
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7

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

BITSAT 2022 Solution
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8

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

BITSAT 2018 Solution
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9

If the variance of the observations x _ 1 , x _ 2 , … … , x _ n is &#963; ^ 2 , then the variance of α x _ 1 , α x _ 2 , … … , α x _ n , α ≠ 0 is

BITSAT 2017 Solution
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10

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

BITSAT 2017 Solution
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11

The arithmetic mean of the data 0,1,2, … …, n with frequencies 1, ^ 4 C_ 1 ^ 4 C_ 2 , ….., ^ ∞ C_ a is

BITSAT 2015 Solution
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12

The mean square deviation of a set of n observation x_ 1 , x_ 2^ 2 , … 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

BITSAT 2015 Solution
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13

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

BITSAT 2014 Solution
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14

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

BITSAT 2013 Solution
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15

Find the variance of the data given below

BITSAT 2013 Solution
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16

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 =

BITSAT 2012 Solution
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17

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

BITSAT 2010 Solution
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18

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

BITSAT 2010 Solution
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19

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

BITSAT 2009 Solution
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