Following are the ages (in years) of school children of a primary class at Sandeep International School:
12, 5, 13, 12, 10, 11, 7, 9, 6, 10, 9, 13, 5, 10, 7,
14, 6, 11, 13, 7, 9, 8, 11, 10, 8, 12, 13, 9, 6, 14.

Prepare a frequency table using inclusive class intervals of width 3 years.

To create a frequency table using inclusive class intervals from the given list of ages, we first need to determine appropriate class intervals of width 3 years. Let's start with the smallest age and end with the largest one. The ages given range from 5 to 14 years. This means that we can start our intervals at 4.5 (to include ages starting from 5 in the first interval) and increase each interval by 3. Here’s how we can set up the intervals:

4.5 - 7.5
7.5 - 10.5
10.5 - 13.5
13.5 - 16.5

Now, let's count how many ages fall into each of these intervals to create our frequency table.

4.5 - 7.5 : 5, 5, 7, 6, 7, 6, 7

Frequency: 7


7.5 - 10.5 : 9, 10, 9, 9, 8, 10, 9, 8, 10

Frequency: 9


10.5 - 13.5 : 12, 13, 12, 11, 13, 11, 13, 11, 12, 13

Frequency: 10


13.5 - 16.5 : 14, 14

Frequency: 2



Here is the frequency table:
Age IntervalFrequency4.5 - 7.577.5 - 10.5910.5 - 13.51013.5 - 16.52
The frequency table provides a simple way to see how the ages are distributed across different intervals. By using inclusive class intervals, each age is counted accurately, giving us a clearer picture of the age distribution in this primary class at Sandeep International School.

Answered by ElijahBenjaminCarter | 2025-07-06