Question

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 a. create a box plot to represent the distribution of the data

Answer 1

Answer:

The minimum value = 4

The maximum value = 9

The first quartile, Q₁ = 6

The second quartile, (median) Q₂ =  7

The third quartile, Q₃ = 8

The box plot showing the above data is attached

Step-by-step explanation:

The given data set is 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7.5, 7.5, 8, 8, 8.5, 8.5, 9

From the data, we have;

The minimum value = 4

The maximum value = 9

The first quartile, Q₁ = (n + 1)/4th term = (19 + 1)/4 = the 5th term = 6

The second quartile, (median) Q₂ = (n + 1)/2 term = (19 + 1)/2 = the 10th term = 7

The third quartile, Q₃ = 3×(n + 1)/4th term = 3×(19 + 1)/4 = the 15th term = 8

Please find the attached box plot as plotted on Excel.