For numerical data, you can find the mean, the median, and the mode.
Mean | The sum of the data values in a data set divided by the number of data values |
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Median | The middle value of a data set that has been arranged in increasing or decreasing order. If the data set has an even number of values, the median is the mean of the middle two values. |
Mode | The most frequently occurring value in a data set |
Example 1
Find the mean, median, and mode for the following data set.
5 | 7 | 6 | 3 | 1 | 7 | 9 | 5 | 10 | 7 |
Mean |
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Median | 5, 7, 6, 3, 1, 7, 9, 5, 10, 7 | Rearrange the numbers from least to greatest. |
1, 3, 5, 5, 6, 7, 7, 7, 9, 10 | The median is the mean of the two middle numbers, 6 and 7. | |
The median is
|
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Mode | The most frequently occurring data value is 7. |
The frequency of a data value is the number of times it occurs in a data set. A histogram is a bar graph that shows the frequency of each data value.
Example 2
Use the survey results to make a histogram for the cost of a movie ticket at various theaters.
$7 | $8 | $7 | $9 | $8 | $9 | $8 | $10 | $8 |
Exercises
Find the mean, the median, and the mode of each data set.
Make a histogram for each data set.