find the mean derivation about the median of the following distribution marks obtained 10,11,12,14,15 No. of students 2,3,8,3,4
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Answer:
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Answered by
1
Answer:
Here,
2
N
=
2
50
=25, which lies in the class 20-30
Therefore the median class is 20-30.
∴ Median, M=l+
f
2
N
−cf
×h
where l is the lower limit of the median class.
cf is the cumulative frequency of the class interval
proceeding the median class.
f is the frequency of median class.
h is the width of the median class.
∴M=20+
14
25−14
×10
=20+
14
11
×10
=20+
7
55
⇒M=27.86 (approx)
mean derivation about median =
∑fi
∑fi∣xi−M∣
=
50
617.16
=8.62 (approx)
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