Question

NEED MATH HELP QUICK!

Question:
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
.
Show all your work to find the 5-number summary. Describe in complete sentences what you did to find those values. Make sure that you use correct mathematical vocabulary when describing the steps.

Answer 1

Minimum = 14

`Q_1=23`

Median = 32

`Q_3=49`

Maximum = 65

Explanation:

Step 1: Put your numbers in ascending order (from smallest to largest). For this particular data set, the order is

14, 18, 28, 29, 32, 44, 48, 50, 65

Step 2: Find the minimum and maximum for your data set. Now that your numbers are in order, this should be easy to spot.

Minimum = 14

Maximum = 65

Step 3: Find the median. The median is the middle number. The middle number in your list is 32, so

Median = 32

Step 4: Place parentheses around the numbers above and below the median.

(14, 18, 28, 29), 32, (44, 48, 50, 65)

Step 5: Find Q1 and Q3. Q1 can be thought of as a median in the lower half of the data, and Q3 can be thought of as a median for the upper half of data.

First quartile

`\bf{Q_1=(18+28)/(2)=(46)/(2)=23}`

Third quartile

`\bf{Q_3=(48+50)/(2)=(98)/(2)=49}`

Step 6: Write down your summary found in the above steps.

Minimum = 14

`Q_1=23`

Median = 32

`Q_3=49`

Maximum = 65