find the mode of the following frequency distribution class= 0-100,100-200,200-300,300-400,400-500,500-600.and frequency =7,21,37,13,12,10
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Answer:
Here n=400. ∴
2
n
=200
Class Frequency Cumulative frequency(c.f.)
0-100 64 64
100-200 62 64+62=126
200-300 84 126+84=210
300-400 72 210+72=282
400-500 66 282+66=348
500-600 52 348+52=400
Cumulative frequency greater than 200 is 210, corresponds to the class 200−300.
Class 200−300 is the median class
l=200,
2
n
=200,cf=126,f=84 and c=100
Substituting the values in
M=l+
f
(
2
n
−cf)
×c
=200+
84
200−126
×100
=200+
84
74×100
=200+88.10
=288.10
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