Question

find mean median mode for the following data Class intervals is 50-55,55-60,60-65,65-70,70-75,75-80 and frequency is 2,8,12,24,38,16​

Answer 1

Given that,

f = 24

cf = 28

L = 65

H = 5

N = 100

$= L + \frac{ \frac{N}{2} - cf}{f} \times H \\ = 65 + \frac{ \frac{100}{2} -28 }{24} \times 5 \\ = 65 + \frac{50 - 28}{24} \times 5 \\ = 65 + \frac{22}{24} \times 5 \\ = 65 + \frac{11}{12} \times 5 \\ = 65 + \frac{55}{12} \\ =65+4.583 \\=69.583$

$\boxed{Median\:=\:69.583}$