CPM Homework Help : INT3 Problem 1-103

Katelyn owns a $24$ -hour coffee shop in front of a downtown office building. She recorded the number of cups of coffee sold each hour during a $48$ -hour time period in the table below.

Katelyn sorted the data and made the histogram below.

Cups of Coffee Sold

$1$

$5$

$7$

$12$

$14$

$16$

$17$

$19$

$20$

$21$

$22$

$23$

$24$

$25$

$26$

$29$

$30$

$31$

$32$

$33$

$35$

$36$

$37$

$38$

$40$

$41$

$42$

$47$

$49$

$51$

$52$

$55$

$59$

$76$

checksum $1444$

A histogram x axis, labeled, Cups of coffee sold, scaled in equal segments of 10. from 0 to 80. y axis, labeled Frequency. Starting at the left each segment has the following bar heights: 5, 9, 13, 10, 7, 5, 0, 1.

Using the sorted data from the table and the histogram, and without using your calculator, what is the five-number summary (minimum, first quartile, median, third quartile, maximum)?
Hint (a):
For quartiles:
Look between the $19$ and the $20$ .
Look between the $29$ s.
Look between the $40$ and the $41$ .
Partial Answer (a):
Minimum: $1$
Maximum: $76$
Describe the distribution of coffee sales per hour
Hint (b):
What would be the typical number of cups sold in an hour?
Does the distribution have skew? Is there an outlier?
What is the IQR? What would it represent?