JEE Main 2019MathematicsStatisticsEasyMCQ

JEE Main 2019 — Statistics Question with Solution

JEE Main 2019 (08 Apr Shift 2)

Question

A student scores the following marks in five tests: 45,54,41,57,43. His score is not known for the sixth test. If the mean score is 48 in the six tests, then the standard deviation of the marks in six tests is:

Choose an option

Show full solutionCorrect option: C
Correct answer
C103

Step-by-step explanation

Given mean of 6 observations is 48

⇒ 41+45+54+57+43+x6=48

⇒x=48
Now variance σ2=∑x-x2n

=72+32+62+92+52+026
=1003
Hence standard deviation =103.

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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.