Answer :
The frequency distribution with five classes for the given weights of 20 children from ages 5 to 10 is as follows:
| Weight Range (lbs) | Frequency |
| 20 - 150 | 10 |
| 151 - 280 | 3 |
| 281 - 410 | 2 |
| 411 - 540 | 3 |
| 541 - 670 | 2 |
To construct the frequency distribution, we first determine the range of weights. The minimum weight is 23.4 lbs and the maximum weight is 528.336 lbs.
Then, we calculate the width of each class by dividing the range by the desired number of classes, which is five in this case.
After determining the width, we start with the lowest value and increment by the width to obtain the upper limit of each class.
We count how many data points fall into each class interval to determine the frequency.
Finally, we tabulate the results into the frequency distribution table as shown above.
This table provides a clear summary of the distribution of weights among the children, allowing for easy analysis and comparison.
