Answer:
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
