JEE Main 2019MathematicsStatisticsCalculation Of Standard Deviation Variance And Mean Deviation Of Grouped And Ungrouped DatamediumMCQ

JEE Main 2019Statistics Question with Solution

From: JEE Main 2019 (Online) 8th April Evening Slot

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: B
Correct answer
B

Step-by-step explanation

Let the score in the sixth test = x

Given, Mean () = 48

= 48

x = 48

Standard deviation (SD)

=

=

=

=

=

=

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Statistics chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

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.