The following table shows classification of number of workers and the number of hours they work in a software company. Find the median of the number of hours they work.

Answer

The median of the number of hours they work daily is `11.4` .

Explanation

Here, total of frequencies `N = Sigma f_(i) = 1000`
`N/2 = 1000/2 = 500`. Cumulative frequency which is just greater than 500 is 650.
`:. ` the corresponding class `10 - 12` is the median class.
L = 10, f = 500 ( Frequency of the median class ),
` cf = 150, h = 2`
Median `= L + [(N/2 - cf)/f] xx h`
` = 10 + [(500-150)/500] xx 2`
` = 10 + ((350)/500) xx 2`
` = 10 + (350)/(250) = 10 + 1.4 = 11.4`