Question

find the median of the following data: weight in kg 15,18,20,23,25,27,28,29 cumulative frequency 6,13,23,37,50,58,61,63

Answer 1

CF
6
19
42
79
129
187
248
311
median

Answer 2

Answer:

The median of the following data is 23.

Step-by-step explanation:

Kg                                 : 15  18  20  23  25  27  28  29

Cumulative frequency : 6   13   23  37  50  58  61  63

The last cumulative frequency is 63, i.e., n=63.

The number of observations is odd. so median is

$\frac{63+1}{2}=32\text{th term}$

We have to find the weight in kg, whose cumulative frequency is more that 32 and presiding cumulative frequency is less than 32.

Cumulative frequency of 20 is 23<32.

Cumulative frequency of 23 is 37>32.

Since cumulative frequency of 23 is more that 32 and presiding cumulative frequency is less than 32, therefore the median of the following data is 23.