Question

11.4 statistics
score: 37.45/40 answered: 22/24
question 19
boxplot image with data axis from 6 to 18
based on the boxplot above, identify the 5 number summary
blank boxes for input
question help: video

Explanation:

Step1: Identify the minimum value

The left - most end of the whisker gives the minimum value. From the box - plot, the minimum value is \(6\).

Step2: Identify the first quartile (\(Q_1\))

The left - hand side of the box gives the first quartile. Here, \(Q_1 = 8\).

Step3: Identify the median (\(Q_2\))

The line inside the box gives the median. So, the median \(Q_2=11\).

Step4: Identify the third quartile (\(Q_3\))

The right - hand side of the box gives the third quartile. Thus, \(Q_3 = 14\).

Step5: Identify the maximum value

The right - most end of the whisker gives the maximum value. From the box - plot, the maximum value is \(18\).

Answer:

\(6\), \(8\), \(11\), \(14\), \(18\)