for a frequency table what is the best interval for the data 1,14,6, 8, 10, 12, 15, 22, ans 25
To determine the best interval for a frequency table, you need to consider the range and distribution of the data.
Here's a step-by-step process to find the best interval:
1. Start by finding the range of the data, which is the difference between the maximum value and the minimum value. In this case, the maximum value is 25, and the minimum value is 1. So the range is 25 - 1 = 24.
2. Next, determine the number of intervals you want to create. This depends on the size of the dataset and the level of detail you want to display. A commonly used number of intervals is between 5 and 15. For simplicity, let's aim for 10 intervals.
3. Calculate the interval size by dividing the range by the number of intervals. In this case, the interval size would be 24 / 10 = 2.4.
4. Round up the interval size to the nearest convenient number. Since we're dealing with whole numbers in this dataset, it would be better to round up to the nearest whole number. Therefore, the interval size becomes 3.
5. Finally, use the rounded interval size to create the intervals for the frequency table. Starting from the minimum value of 1, the intervals would be as follows:
1 - 3
4 - 6
7 - 9
10 - 12
13 - 15
16 - 18
19 - 21
22 - 24
25 - 27
Please note that in this example, the last interval, "25 - 27", extends beyond the maximum value of the dataset (25), but this is a common practice to account for any potential new data points in that range.
So, in summary, the best interval for the given data would be 3.