JEE Main 2016 — Statistics Question with Solution
From: JEE Main 2016 (Online) 10th April Morning Slot
Question
The mean of 5 observations is 5 and their variance is 124. If three of the observations
are 1, 2 and 6 ; then the mean deviation from the mean of the data is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B2.8
Step-by-step explanation
Let 5 observations are x1, x2, x3, x4, x5
given, x1 = 1, x2 = 2, x3 = 6
Mean = 5
Mean = = 5
1 + 2 + 6 + x4 + x5 = 25
x4 + x5 = 16
(x4 5) + (x5 5) + 10 = 16
(x4 5) + (x5 5) = 6
Mean deviation about mean,
=
=
=
=
= 2.8
given, x1 = 1, x2 = 2, x3 = 6
Mean = 5
Mean = = 5
1 + 2 + 6 + x4 + x5 = 25
x4 + x5 = 16
(x4 5) + (x5 5) + 10 = 16
(x4 5) + (x5 5) = 6
Mean deviation about mean,
=
=
=
=
= 2.8
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