Mean Deviation about Median for Discrete Frequency Distributions
The mean devi...
Question
The mean deviation about the median for the following data
Marks0−1010−2020−3030−4040−5050−60Number of students68141642
is
A
9.35
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B
10.34
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C
11.35
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D
12.33
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Solution
The correct option is B10.34 ClassMid points(xi)fic.f.|xi−M|fi|xi−M|0−1056622.85137.110−201581412.85102.820−302514282.8539.930−403516447.15114.440−504544817.1568.650−605525027.1554.3
The class interval containing N2th or 25th term is 20−30. Therefore 20−30 is the median class.
Median =l+N2−f1f×h =20+25−1414×10 =20+1114×10 =20+7.85=27.85
Mean deviation about median is given by 1N6∑1fi|xi−M| =150×517.1=10.34