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
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.