JEE Main 2019MathematicsStatisticsEasyMCQ

JEE Main 2019 — Statistics Question with Solution

JEE Main 2019 (12 Jan Shift 1)

Question

If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is :

Choose an option

Show full solutionCorrect option: D
Correct answer
D31

Step-by-step explanation

Let the observations be x1, x2, ..., x50.

Given x1-30+x2-30+.....+x50-30=50

⇒ x1+x2+.....+x50=50+30×50=1550

Now, Mean =x1+x2+....+x5050=155050=31.

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About this question

This is a previous-year question from JEE Main 2019, 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.