JEE Main 2024MathematicsStatisticsMediumMCQ

JEE Main 2024 — Statistics Question with Solution

JEE Main 2024 (01 Feb Shift 1)

Question

Let the median and the mean deviation about the median of 7 observation 170,125,230,190,210,a,b be 170 and 2057 respectively. Then the mean deviation about the mean of these 7 observations is:

Choose an option

Show full solutionCorrect option: C
Correct answer
C30

Step-by-step explanation

Given observations are 125,a,b,170,190,210,230.

Median=170

Mean deviation about median is 2057.

⇒2057=0+45+60+20+40+170−a+170−b7

⇒a+b=300

Mean =170+125+230+190+210+a+b7=175

Mean deviation about mean =50+175−a+175−b+5+15+35+557

=30

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About this question

This is a previous-year question from JEE Main 2024, 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.