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To find the five-number summary, first write the data from least to greatest.
Minimum: 542
First Quartile: 605.5
Median: 639.5
Third Quartile: 738.5
Maximum: 910
We are asked to find the five-number summary of the data about the customers from a previous exercise.
Week | Customers |
---|---|
1 | 542 |
2 | 601 |
3 | 589 |
4 | 610 |
5 | 648 |
6 | 670 |
7 | 631 |
8 | 620 |
9 | 723 |
10 | 754 |
11 | 885 |
12 | 910 |
A five-number summary consists of the minimum value, the first quartile, the median, third quartile, and the maximum value. Let's look at the customer number values in our data.
Now that the data is in increasing order, we can identify the median, or the middle value of the data set. Let's split the set into two equal parts.
Since we have an even number of data points, there are two middle values in this data set.
We can see that the maximum number of customers is equal to 910 and the minimum number of customers is equal to 542. We found all the numbers needed to make the five-number summary!
Minimum | First Quartile | Median | Third Quartile | Maximum |
---|---|---|---|---|
542 | 605.5 | 639.5 | 738.5 | 910 |