18. Calculate mean, median and mode from the following data:
40-50
50-60
60-70
70-80
80-90
Class 30-40
interval
Frequency 18
37
45
27
15
8
Answers
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Explanation:
Class intervals Frequency
10-20 7
20-30 12
30-40 20
40-50 11
50-60 8
Here maximum frequency is 20 ,the class corresponding to this 30-40
So modal class is 30-40
Now lower limit of modal class (l)=30
Frequency (f1) of modal class =20
frequency (f0) of preceding the modal class =12
frequency (f2) of the class succeeding the modal class=11
Class size=10
Mod=l+[
2f1−f0−f2
f1−f0
]×h
Mod =30+[
2×20−12−11
20−12
]×10=30+
17
8
×10=30+4.705=34.705
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