Question

Find the five-number summary of the data set and create a box plot for the following data.

Answer 1

Answer:

Attached is the box plot

Step-by-step explanation:

20, 21, 22, 22, 25, 25, 26, 27, 30, 31, 31, 31, 32, 32, 35

Minimum: 20

$Q_1$: 22

Median or $Q_2$: 27

$Q_3$: 31

Maximum: 35

Hope this helps!

Answer 2

Answer:

Minimum = 20
First quartile = 22
Median = 27
Third quartile = 31
Maximum = 35

Step-by-step explanation:

Given the following question:

35, 22, 30, 31, 27, 20, 32, 21, 32, 22, 31, 25, 26, 31, 25

In order to find the five-number summary of the given data set we have to find five separate numbers.

Five-number summary consists of...

1. The minimum
2. The first quartile
3. The median
4. The third quartile
5. The maximum

Which means there will be five different answers for this data set:

Minimum:
To find the minimum we find the smallest value in our data set.
35, 22, 30, 31, 27, 20, 32, 21, 32, 22, 31, 25, 26, 31, 25

Minimum is equal to 20

First quartile/Third quartile:
By splitting the data set in four different groups and rearranging the numbers from least to greatest we can find he first/third quartile.

Q1 = 22
Q3 = 31

Median:
By rearranging the number from least to greatest and spliting the number in two groups. The middle value of the data set will also be the median.

35, 22, 30, 31, 27, 20, 32, 21, 32, 22, 31, 25, 26, 31, 25
20, 21, 22, 22, 25, 25, 26, 27, 30, 31, 31, 31, 32, 32, 35

Median is 27

Maximum:
The maximum is simply the largest number in the data set.
20, 21, 22, 22, 25, 25, 26, 27, 30, 31, 31, 31, 32, 32, 35

The maximum is 35.

Hope this helps.