Question

Find the mode of the following data

Answer 1

Modal class = class with highest frequency

So modal class = 40-50

l = 40

f1 = 20

f0 = 13

f2 = 11

h = 50-40 = 10

$mode =l + \frac{f_1-f_0}{2f_1-f_0-f_2} \times h\\ \\ mode =40+ \frac{20-13}{2 \times 20-13-11} \times 10\\ \\ mode =40+ \frac{7}{16} \times 10\\ \\ mode = 40 + \frac{70}{16}\\ \\ mode = 40+4.375\\ \\ \boxed{ \red{mode=43.375}}$

Answer 2

i hope it is useful for u