Chapter Review
Sign In
See solution.
Consider the given table.
| Miles Run | |
|---|---|
| 3.5 | 4.1 |
| 4.0 | 4.3 |
| 4.4 | 4.5 |
| 3.9 | 2.0 |
| 4.3 | 5.0 |
Now we can analyze each measure one at a time. Let's do it!
Substitute values
The median of a numerical data set is the middle number when the values are written in numerical order. If the data set has an even number of values, the mean of the two middle values will be the median. Let's write the data in numerical order. 2.0, 3.5, 3.9, 4.0, 4.0, 4.1, 4.3, 4.3, 4.4, 4.5, 5.0 In this case, the median is 4.1 miles. Comparing it with the original median 4.2, we can see that the new value decreases the median by 0.1 miles.
The mode of a data set is the value or values that occur most often. Let's take a look at our data. 2.0, ,3.5, 3.9, 4.0, 4.0, 4.1, 4.3, 4.3, 4.4, 4.5, 5.0 In this case, we can see the mode changes to 4.0 miles and 4.3 miles rather than only being 4.3 miles as in the previous 10 days.