what set of intervals would you choose to create a stem-and-leaf-plot for each set of data?
263 282 274 265 277 281 277 283 272 267
To create a stem-and-leaf plot for a set of data, you need to choose a set of intervals. The intervals should be based on the range of the data values and their distribution. Here's how you can determine the intervals for the given set of data:
1. Find the minimum and maximum values in the data set. In this case, the minimum value is 263 and the maximum value is 283.
2. Determine the range of the data by subtracting the minimum value from the maximum value: 283 - 263 = 20.
3. Decide on the number of intervals you want to use. This can depend on the size of the data set and the desired level of detail in the stem-and-leaf plot. For this example, let's choose 5 intervals.
4. Divide the range by the number of intervals to calculate the width of each interval: 20 / 5 = 4.
5. Round up the interval width to the nearest whole number. In this case, the width is already a whole number, so no rounding is necessary.
6. Choose the starting point for the intervals. You can start at the minimum value or a slightly lower value. Let's start at 260 for this example.
7. Use the interval width to determine the boundaries for each interval. Starting from 260, the intervals would be as follows:
- 260-263
- 264-267
- 268-271
- 272-275
- 276-279
- 280-283
By using these intervals, you can create a stem-and-leaf plot for the given set of data.