Question

answer the statistical measures and create a box and whiskers plot for the following set of data. enter all values as whole numbers or decimals. 5, 9, 9, 10, 12, 13, 15, 16, 17, 17 min: 5 q1: 9 med: 12.5 q3: 16 max: 17 create the box plot by dragging the lines: answer attempt 2 out of 2

Explanation:

Step1: Find the minimum

The minimum value in the data - set 5, 9, 9, 10, 12, 13, 15, 16, 17, 17 is 5.

Step2: Find the first quartile (Q1)

First, order the data set. There are n = 10 data points. The lower half of the data set is 5, 9, 9, 10, 12. The median of the lower - half (Q1) is the middle value of this subset. Since there are 5 values, the middle value is the 3rd one, so Q1 = 9.

Step3: Find the median (Med)

Since n = 10 (an even number of data points), the median is the average of the 5th and 6th ordered values. The 5th value is 12 and the 6th value is 13. So, Med=$\frac{12 + 13}{2}=12.5$.

Step4: Find the third quartile (Q3)

The upper half of the data set is 13, 15, 16, 17, 17. The median of the upper - half (Q3) is the middle value of this subset. Since there are 5 values, the middle value is the 3rd one, so Q3 = 16.

Step5: Find the maximum

The maximum value in the data set is 17.

Answer:

Min: 5, Q1: 9, Med: 12.5, Q3: 16, Max: 17