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Mathematics

Using assumed mean method, calculate the mean.

Class-intervalFrequency
0-3022
30-6030
60-9040
90-12036
120-15028
150-18020

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Answer

Class-intervalFrequency (f)Class mark (x)d = x - Afd
0-302215-60-1320
30-603045-30-900
60-9040A = 7500
90-12036105301080
120-15028135601680
150-18020165901800
TotalΣf = 176Σfd = 2340

By formula,

Mean = A + ΣfdΣf\dfrac{Σfd}{Σf}

= 75 + 2340176\dfrac{2340}{176}

= 75 + 13.30

= 88.30

Hence, mean = 88.30

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