Box Plots Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 52 of 5 Items
Question
Enter the values to complete the box plot of dataset 47, 48, 49, 50, 51, 52, 53. (2 points)

Answer 1

To create a box plot for the data set 47, 48, 49, 50, 51, 52, 53, we need to find the minimum, lower quartile (Q1), median, upper quartile (Q3), and maximum values.

Step 1: Order the data set from least to greatest:
47, 48, 49, 50, 51, 52, 53

Step 2: Find the minimum and maximum values:
Minimum: 47
Maximum: 53

Step 3: Find the median:
Since there are 7 data points, the median is the middle value, which is the 4th value in the ordered data set:
Median: 50

Step 4: Find the lower quartile (Q1) and upper quartile (Q3):
Q1 is the median of the lower half of the data set, which is the 2nd and 3rd values in the ordered data set:
Q1: (48+49)/2 = 48.5

Q3 is the median of the upper half of the data set, which is the 5th and 6th values in the ordered data set:
Q3: (51+52)/2 = 51.5

Now we have all the values needed to create the box plot:
Minimum: 47
Q1: 48.5
Median: 50
Q3: 51.5
Maximum: 53

Therefore, the box plot for the data set 47, 48, 49, 50, 51, 52, 53 would look like this:
```
|---|---------|---------|--------|---|
47 48.5 50 51.5 53
```