MHT CET202310 May 2023Morning ShiftMathematicsStatisticsActual

The variance, for first six prime numbers greater than 5 , is

Options

Correct answer

B. 28

Step-by-step solution

First six prime numbers greater than 5 are 7,11 , 13,17,19,23 . aligned & Variance ( ^2 )= 1 n ( _ i =1 ^ n x_ i ^2 )-( x )^2 & ^2= 1 6 (7^2+11^2+13^2+17^2+19^2+23^2 ) & - ( 7+11+13+17+19+23 6 )^2 & = 1518 6 - ( 90 6 )^2 & =253-225 & =28 & aligned

Practice Statistics on Quantrex Academy →

More from Statistics

The variance of a set of 20 observations is 16. If 7 is added to each observation, and then 5 is subtracted from each resulting observation, what will be the new standard deviation 2026 If for a distribution of 20 items, (x - 4) = 10 and (x - 4)^2 = 85 then the standard deviation is: 2026 Consider the data of scores obtained by students in an examination. If the score of every student is increased by 2 marks, then which of the following statements is TRUE? 2026 The mean and standard deviation of 100 items are 50 and 4 , respectively then the sum of all squares of the items is 2026 If _ i=1 ^9 (x_i-5 )=9 and _ i=1 ^9 (x_i-5 )^2=45 , then the standard deviation of the nine observations x ₁, x ₂, , x ₉ is 2025 Variance of the following continuous frequency distribution is Class Interval 0 – 4 4 – 8 8 – 12 12 – 16 Frequency 1 2 2 1 2025 The mean deviation from the median for the following data is x_i 9 3 7 2 5 f_i 1 6 2 8 4 2025 The mean deviation about the mean for the following data is Class Interval 0 – 2 2 – 4 4 – 6 6 – 8 8 – 10 Frequency 1 3 4 1 2 2025 Full Statistics list All MHT CET PYQs