Question

A survey regarding the heights in cm of 51 girls of class 10th of a school was conducted and gollowing data was obtained. find the median height and mean using formula?​

Answer 1

Answer:

N = 51

$\frac{n}{2} = \frac{51}{2} = 25.5$

As 29 is just greater than 25.5, therefore median class is 145-150.

$median = l \: + \frac{n - 2 }{f} - c \times h$

Here, l = lower limit of median class = 145

C = C.F. of the class preceding the median class = 11

h = higher limit - lower limit = 150 − 145 = 5

f = frequency of median class = 18

$median \: = 145 + \frac{25.5 - 11}{18} \times 5 \\ = 149.03$