Question

2 the data set represents the shoe sizes of 19 students in a fifth - grade physical education class. 4 5 5 5 6 6 6 6 7 7 7 7 7.5 7.5 8 8 8.5 8.5 9 create a box plot to represent the distribution of the data.

Explanation:

Step1: Arrange data in ascending order

4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7.5, 7.5, 8, 8, 8.5, 8.5, 9

Step2: Find the median (Q2)

There are 19 data - points. The median is the 10th value. So, Q2 = 7.

Step3: Find the lower half of data

The lower half is 4, 5, 5, 5, 6, 6, 6, 6, 7. The median of the lower half (Q1) is the 5th value, so Q1 = 6.

Step4: Find the upper half of data

The upper half is 7.5, 7.5, 8, 8, 8.5, 8.5, 9. The median of the upper half (Q3) is the 5th value of this half, so Q3 = 8.

Step5: Find the minimum and maximum

The minimum value is 4 and the maximum value is 9.

Step6: Draw the box - plot

Draw a number line that includes the range from 4 to 9. Draw a box from Q1 = 6 to Q3 = 8 with a vertical line at Q2 = 7 inside the box. Draw whiskers from the box to the minimum (4) and maximum (9) values.

Answer:

A box - plot with minimum = 4, Q1 = 6, Q2 = 7, Q3 = 8, maximum = 9.