If the mean of the following data is 35, find out the missing frequency f?
0-10
20-30
Class
Frequency
10-20
3
30-40 40-50 50-60
6 5 5
7
2
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Answer:
ANSWER
Class interval frequency cumulitative frequency
0−10 2 2
10−20 3 5
20−30
x 5+x
30−40 6 11+x
40−50 5 16+x
50−60 3 19+x
60−70 2 21+x
Total frequency= 21+x
=> N=21+x
=>
2
N
=
2
21+x
So; CF corresponding to this is 11+x
And class corresponds to this is 30−40
So, l=30 , F=5+x , f=6 and h=10
Median=l+
⎝
⎜
⎜
⎛
f
2
N
−F
⎠
⎟
⎟
⎞
×h
=> 35=30+
⎝
⎜
⎜
⎛
6
2
21+x
−5−x
⎠
⎟
⎟
⎞
×10
=> x=5
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