Question -
Answer -
(a) Highest income of lowest 50% workers will be given by the median. Σf = N = 65
Median class = Size of (N/2) th item = Size of (65/2) th item=325 th item
32.5th item lies in the 50th cumulative frequency and the corresponding class interval is 24.5 – 29.5.
(b) Minimum income earned by top 25% workers will be given by the lower quartile Q1.
Class interval of Q1 = (N/4) th item
=(65/4) th item = 1625th item
16.25th item lies in the 30th cumulative frequency and the corresponding class interval is 19.5 – 24.5
(c) Maximum income earned by lowest 25% workers will be given by the upper quartile Q3.
Class interval of Q3 = (N/4) th item
=3(65/4) th item
= 3 × 1625th item
= 48.75th item
48.75th item lines in 50th item and the corresponding class interval is 24.5-29.5.