The mean deviation about the mean for the data x i 5 7 9 10 12 15 --- --- --- --- --- --- --- f i 8 6 2 2 2 6 is equal to:

Mathematics · Statistics

JEE Main 2026 — 5 April, Morning Shift — Question 31

The mean deviation about the mean for the data

$x_i$	5	7	9	10	12	15
$f_i$	8	6	2	2	2	6

is equal to:

Option A:
40/13
Option B:
42/13
Option C:
44/13
Correct
Option D:
46/13

Answer: C

Step-by-step solution

M.D. $=\frac{\sum f_{i}\left|x_{i}-\bar{x}\right|}{\sum f_{i}}$ $\bar{x}=\frac{\sum f_{i} x_{i}}{\sum f_{i}}=\frac{40+42+18+20+24+90}{26}$ $=\frac{234}{26}=9$ M.D. $=\frac{8(4)+6(2)+2(0)+2(1)+2(3)+6(6)}{26}$ $=\frac{84}{26}=\frac{44}{13}$

Answer key and solution verified before publishing.

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Exam: JEE Main 2026
Paper: 5 April, Morning Shift
Subject: Mathematics
Chapter: Statistics
Topic: Measures of Central Tendency