find mean median and mode. class (10-19,20-29,30-39,40-49) frequency (8,15,2,10,)
Answers
Given : class (10-19,20-29,30-39,40-49) frequency (8,15,2,10,)
To Find : mean median and mode.
Solution:
class f cf class mark d= (mark - 24.5)/10 df
9.5 - 19.5 8 8 14.5 -1 -8
19.5 - 29.5 15 23 24.5 0 0
29.5 - 39.5 2 25 34.5 1 2
39.5 - 49.5 10 35 44.5 2 20
35 14
Mean = 24.5 + 10 x ( 14)/35
= 24.5 + 4
= 28.5
Median = 19.5 + 10 x ( 35/2 - 8)/15
= 19.5 + 6.33
= 25.83
Mode = 19.5 + 10 x ( 15 - 8)/(15 - 8 + 15 - 2)
= 19.5 + 3.5
= 23
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