Question

if the mean of the following distribution is54, find the value of p

Answer 1

class frequency(f) meaner(x) fx
0-20 7 10 70

20-40 p 30 30p

40-60 10 50 500

60-80 9 70 630

80-100 13 90 1170
so the sum of fx is =(70+30p+500+630+1170)=2370+30p
and the sum of frequency is=(39+p)
the mean of the following distribution is 54
so, According to the question,
$\frac{(2370 + 30p)}{(39 + p)} = 54 \\ or \: \: 2370 + 30p = 2106 + 54p \\ or \: \: 24p = 264 \\ or \: \: p = 11(answer)$
p=11 hope it helps,pls mark me brainiest