I am stumped and confused can someone help? The following data set gives the difference between the winning and losing scores in 50 randomly observed high school basketball games: 2, 12, 1, 2, 12, 5, 14, 2, 45, 9, 1, 8, 18, 28, 9, 4, 30, 16, 4, 12, 8, 13, 20, 9, 17, 13, 49, 17, 13, 4, 14, 2, 12, 29, 8, 9, 11, 4, 6, 22, 4, 20, 23, 9, 14, 11, 8, 8, 2, 8. Make a stem-and-leaf plot of the data from this experiment. Develop appropriate intervals and make a histogram for this data. Thanks for your help.
why doesn't the readings from this class tell you how to make a stupid histogram. no wonder people cheat.
To make a stem-and-leaf plot and a histogram for the given data set, you can follow these steps:
1. Organize the data in ascending order:
1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 5, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 16, 17, 17, 18, 20, 20, 22, 23, 28, 29, 30, 45, 49
2. Determine the stem and leaf for each data point:
The stem is the tens digit, and the leaf is the ones digit.
For example, for the data point "14," the stem is "1" and the leaf is "4."
0 | 0
1 | 11122222333444
2 | 466889
3 | 022
4 | 4589
5 | 6
6 |
7 |
8 |
9 | 9
In the above stem-and-leaf plot, the left side represents the stems, and the right side represents the leaves.
3. Determine the intervals for the histogram:
Look at the range of the data, which is from 0 to 49. You can divide this range into intervals to create the histogram. For this data set, you can choose an interval size of 10. So the intervals will be 0-9, 10-19, 20-29, 30-39, 40-49.
4. Count the number of data points in each interval and draw the histogram:
- Interval 0-9: 3 data points
- Interval 10-19: 16 data points
- Interval 20-29: 8 data points
- Interval 30-39: 2 data points
- Interval 40-49: 7 data points
Now you can draw the histogram using these counts. Each bar represents the number of data points in each interval.
0-9 | ***
10-19 | ****************
20-29 | ********
30-39 | **
40-49 | *******
The x-axis represents the intervals, and the y-axis represents the frequency of data points in each interval.
That's it! You have created a stem-and-leaf plot and a histogram for the given data set.