The number of students absent in a school was recorded every day for 147 days and the raw data was presented in the form of the following frequency table.

Obtain the median and describe what information it conveys.

Explanation

Given,

`[[x_i​,f_i​ ,c_f],[5,1,1],[6,5,6],[7,11,17],[8,14,31],[9,16,47],[10,13,60],[11,10,70],[12,70,140],[13,4,144],[15,1,145],[18,1,146],[20,1,147]]`

Here,`sumf_i​=147`

We have,
`N=147=>N/2​=73.5`

The cumulative frequency just greater than `N/2` is 140 and the corresponding value of the variable x is 12.

Hence, median = 12.
This means that for about half the number of days, more than 12 students were absent.