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7-31.

During a given week, the museum had attendance as shown in the table at right.

1. Numerically summarize the center and spread of attendance by finding the median and interquartile range (IQR).

The median is the middle number when the data is arranged numerically.
The interquartile range is the difference between the third quartile and the first quartile.

2. The museum management needs to tell the staff members their work schedules a week in advance. The museum wants to have approximately one staff member for every $150$ visitors. How many staff members should be scheduled to work each week? Explain your reasoning.

Find the number of staff workers that can accommodate the largest number of visitors.

For the largest number of visitors (940), there needs to be at least 7 staff members. With any less, the museum could be understaffed.

1. Why is a scatterplot not an appropriate display of this data?

• Think of times when scatterplots are appropriate. What do they have in common that this situation is missing?

Day

Attendance

$1$

$870$

$2$

$940$

$3$

$731$

$4$

$400$

$5$

$861$

$6$

$680$

$7$

$593$

Use the eTool below to make a box plot.
Click the link at right for the full version of the eTool: 7-31 HW eTool