Question

The class marks of a distribution are 47, 52, 57, 62, 72. Find (1) class size (2) Class
limits (3) upper limit of the third class interval.​

Answer 1

Answer:

1. Class size = Difference between class marks of two consecutive classes.

=52 - 47 = 5

2. Lower-class limit = class marks - 1/2 of class size

Upper class limit = class marks + 1/2 of class size

Therefore,

for class mark 47 ,class-limits are: 47-2.5 and 47+2.5

= 44.5 and 49.5

=44.5 - 49.5

for class mark 52, class-limits are: 52-2.5 and 52+2.5

=49.5 - 54.5

Similarly, you can calculate the class limits for other class marks.

3. Since, the class-limits form a continuous frequency distribution; the true class limits and the class-limits are the same.