Question

To study the physical fitness of a sample of 28 people, the data below were collected representing the number of sit-ups that a person could do in one minute. 10 12 12 15 15 15 18 20 22 25 25 26 29 30 32 33 40 40 40 45 46 47 48 48 50 52 53 56 Create a box and whiskers. Be sure to include the 5 number summary, IQR, fences, whiskers, and outliers. Only mark these numbers on the number line.

Answer 1

Min. 1st Qu. Median Mean 3rd Qu. Max.

10.00 19.50 31.00 32.29 46.25 56.00

Explanation:

Box and Whisker Plot shows the summary of data. It is used to visualize the basic things of data.

The five-number summary includes five things that are:

1. Minimum Value

2. First Quartile (Q₁)

3. Median

4. Third Quartile (Q₃)

5. Maximum Value

So,

1. Minimum Value = 10

It can be found by arranging the data in ascending order, the first value we will get is the minimum value.

2. First Quartile is the middle value between Minimum value and Median of data after arranging data in ascending order.

First Quartile (Q₁) = 19.50

3. Median is the middle value of the data after arranging them in ascending order.

Median = 31

4. The third Quartile is the middle value between Median and Maximum Value of data after arranging data in ascending order.

Third Quartile (Q₃) = 32.29

5. Maximum Value is the largest value of the data or is the last value after arranging the data in ascending order.

Maximum Value = 56.

IQR: IQR = 26.75

Interquartile Range (IQR) is the difference between the first and third quartiles.

Outlier: Their is no outlier present in given data. It is the point which is very different from other points present in dataset.