The ages of the guests on a museum tour are 32, 14, 18, 29, 65, 50, 48, 44, and 28. Find the five-number summary of the ages.

Minimum = 14, 1st Q = 23, median = 32, 3rd Q = 49, maximum = 65

Step-by-step explanation:

* Lets explain what is the five-number summary

- The five-number summary for a set of data, are:

# The minimum

# First quartile

# Median

# Third quartile

# The maximum

∵ The ages of the guests are 32, 14, 18, 29, 65, 50, 48, 44, 28

# The steps to find them

1. Put your numbers in ascending order

∴ 14, 18, 28, 29, 32, 44, 48, 50, 65

2. Find the minimum and maximum for your data

∴ The minimum is 14

∴ The maximum is 65

3. Find the median where the median is the middle number.

∵ There are 9 ages then the middle age is the 5th age

∵ The 5th age is 32

∴ The median is 32

4. The first quartile is the median of the lower half of the data

∵ The lower half of the ages are 14, 18, 28, 29

∵ The numbers of ages are even

∴ The first quartile is the average of the two middle ages

∴ The 1st quartile = (18 + 28) / 2 = 23

∴ The 1st quartile is 23

5. The third quartile is the median of the upper half of the data

∵ The upper half of the ages are 44, 48, 50, 65

∵ The numbers of ages are even

∴ The third quartile is the average of the two middle ages

∴ The 3rd quartile = (48 + 50) / 2 = 49

∴ The 3rd quartile is 49

* The five-number summary of the ages are:

Minimum = 14, 1st Q = 23, median = 32, 3rd Q = 49, maximum = 65