Answer:
Explanation:
To make a box plot of the data, we first need to find the five-number summary, which consists of the minimum, the first quartile (Q1), the median, the third quartile (Q3), and the maximum.
The data in ascending order is:
29, 36, 39, 41, 45, 48, 57
The minimum is 29, the maximum is 57, and the median is the middle value, which is 41.
To find Q1 and Q3, we need to find the medians of the lower and upper halves of the data, respectively. The lower half is:
29, 36, 39, 41
The median of this half is (36 + 39) / 2 = 37.5. So Q1 = 37.5.
The upper half is:
45, 48, 57
The median of this half is (48 + 57) / 2 = 52.5. So Q3 = 52.5.
Now we can draw the box plot. Here's how it looks:
| ___
29 | | |
| | |
36 | | |
| | |
39 | | |___
| | | |
41 | | | |
| | | |
|__|_____|___|___|__
37.5 41 52.5
The line in the box represents the median, the box goes from Q1 to Q3, and the whiskers extend to the minimum and maximum values. Any data points beyond the whiskers are considered outliers.