The height of 40 students of class VIII are measured in nearest centimetres as follows:-
140, 151, 152, 154, 142, 161, 143, 151, 149, 149, 144, 160, 157, 148, 148, 155, 146, 155, 152, 158, 151, 155, 149, 146, 150, 144, 152, 144, 156, 148, 152, 158, 143, 150, 163, 162, 151, 140, 155, 144
Prepare the frequency table of the above data
To prepare the frequency table of the given data, we need to count how many times each height appears in the data set. Here are the steps to do it:
1. Sort the data in ascending order: 140, 140, 141, 142, 143, 143, 144, 144, 144, 144, 145, 146, 146, 147, 148, 148, 148, 149, 149, 149, 150, 150, 151, 151, 151, 151, 152, 152, 152, 152, 152, 154, 155, 155, 155, 156, 157, 158, 158, 160, 161, 162, 163
2. Create two columns for the frequency table: "Height" and "Frequency".
3. Write unique heights in the "Height" column.
4. Count how many times each height appears in the sorted list and write those counts in the "Frequency" column.
Here is the frequency table for the given data:
| Height | Frequency |
|--------|-----------|
| 140 | 2 |
| 141 | 1 |
| 142 | 1 |
| 143 | 2 |
| 144 | 4 |
| 145 | 1 |
| 146 | 2 |
| 147 | 1 |
| 148 | 3 |
| 149 | 3 |
| 150 | 2 |
| 151 | 4 |
| 152 | 4 |
| 154 | 1 |
| 155 | 3 |
| 156 | 1 |
| 157 | 1 |
| 158 | 2 |
| 160 | 1 |
| 161 | 1 |
| 162 | 1 |
| 163 | 1 |
Each height in the "Height" column represents a unique measurement taken from the 40 students in class VIII, and the corresponding frequency in the "Frequency" column denotes the number of times that height appears in the data set.