JEE Main 2022MathematicsStatisticsEasyMCQ

JEE Main 2022 — Statistics Question with Solution

JEE Main 2022 (26 Jun Shift 1)

Question

The mean of the numbers a,b,8,5,10 is 6 and their variance is 6.8. If M is the mean deviation of the numbers about the mean, then 25M is equal to

Choose an option

Show full solutionCorrect option: A
Correct answer
A60

Step-by-step explanation

Mean x¯=a+6+8+5+105=6 (given) 

⇒a+b=7     ...i

Variance =∑xi2n-x¯2=a2+b2+82+52+1025-62=6.8 (given)

⇒a2+b2=25     ...ii

on solving equations i & ii, we get a=3, b=4

Now, Mean deviation about Mean M=∑xi-x¯n

⇒3-6+4-6+8-6+5-6+10-65

⇒ 3+2+2+1+45=125

∴  M=125⇒25M=60.

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About this question

This is a previous-year question from JEE Main 2022, covering the Statistics chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.