Question

Given are the class intervals 0 – 8, 8 – 16, 16 – 24, 24 – 32 …. Then 24 is considered in which class interval
$\begin{align}
  & a)16-24 \\
 & b)24-32 \\
 & c)8-24 \\
 & d)24-38 \\
\end{align}$

Answer 1

Hint: Now we are given a continuous class interval. For continuous class intervals (a, b) we know they are written as $a\le h < b$. Hence we can easily find out to which class interval 24 belongs to.

Complete step-by-step answer:
Now first let us understand the term class interval.
The class intervals are nothing but a set in which the data is grouped. Now for example let us say the class interval where we have all the kids of age 1 – 5. Hence this is our class interval. To process data in larger quantities, class intervals are very useful.
Now class intervals can be discrete or continuous. In a discrete class interval the value does not repeat. For example consider the intervals 1 – 9, 10 – 19, 20 – 29 …
But in continuous class intervals the intervals are connected and the values repeat.
For example consider 0 – 10, 10 – 20, 20 – 30….
Now when the class interval is continuous we consider the lower limit in the interval and the upper limit in the next interval.
Now consider the given data.
0 – 8, 8 – 16, 16 – 24, 24 – 32 ….
 Here 24 is lower limit of 24 – 32 hence we will count 24 in the interval 24 – 32

So, the correct answer is “Option b”.

Note: Now note that the class intervals must be mutually exclusive. This means any two class intervals must not contain the same number or value. For example if we say that the first class interval is from 10 – 20 and the second class interval is from 15 – 25 then we are calculating the data between 15 – 25 twice. To avoid this we always keep the class intervals mutually exclusive.