If the variance of the frequency distribution | $x$ | $c$ | $2c$ | $3c$ | $4c$ | $5c$ | $6c$ | |---|---|---|---|---|---|---| | $f$ | 2 | 1 | 1 | 1 | 1 | 1 | is 160, then the value of $c\in\mathbb{N}$ is

JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 9 April 2024, Shift 2, Maths Q19

Question 19 of 90 in this shift, Maths question 19 of 30, Section A.

If the variance of the frequency distribution

$x$	$c$	$2c$	$3c$	$4c$	$5c$	$6c$
$f$	2	1	1	1	1	1

is 160, then the value of

c\in\mathbb{N}

(1) $6$
(2) $7$ Official answer
(3) $8$
(4) $5$

Official answer

Option 2

NTA final key.

Chapter: Statistics
Topic: Variance and SD
Idea tested: Variance of Discrete Frequency Distribution

Same idea in other shifts

Asked 3× in all

30 Jan 2024, Shift 2 · Q30The variance $\sigma^2$ of the data | $x_i$ | 0 | 1 | 5 | 6 | 10 | 12 | 17 | |---|---|---|---|---|---|---|---| | $f_i$ | 3 | 2 | 3 | 2 | 6…EasyNumerical value
10 Apr 2023, Shift 2 · Q19Let $\mu$ be the mean and $\sigma$ be the standard deviation of the distribution $x_i$ : $0$ , $1$ , $2$ , $3$ , $4$ , $5$ $f_i$ : $k+2$ , $2k$ ,…MediumSingle correctHas a figure

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.