Sure! Let's construct a frequency distribution table step-by-step using the given information:
1. Class Intervals (Bins):
- From 19 to 20
- From 20 to 24
- From 24 to 28
- From 28 to 32
- From 32 to 36
2. Frequencies:
- The number of observations in each interval are as follows:
- 4 observations in the interval 19 to 20
- 2 observations in the interval 20 to 24
- 5 observations in the interval 24 to 28
- 3 observations in the interval 28 to 32
- 1 observation in the interval 32 to 36
Now, let's put this information into a frequency distribution table:
| Class Interval | Frequency |
| -------------- | --------- |
| 19 - 20 | 4 |
| 20 - 24 | 2 |
| 24 - 28 | 5 |
| 28 - 32 | 3 |
| 32 - 36 | 1 |
Description of the Table:
- Class Interval: These are the defined intervals or bins into which the data points are categorized.
- Frequency: This is the count of how many data points fall within each respective interval.
In summary, our frequency distribution table effectively categorizes the data points into intervals, showing how many observations fall within each interval. This table can be very helpful in understanding the distribution of the data at a glance.
