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, 8, 8, 8, 12, 15, 16, 17
min: q1: med: q3: max:
create the box plot by dragging the lines:
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Find the minimum value

The minimum value in the data - set 5, 8, 8, 8, 12, 15, 16, 17 is 5.

Step2: Find the first quartile (Q1)

First, find the median of the lower half of the data. The data set has 8 values. The lower half is 5, 8, 8, 8. The median of this lower - half (Q1) is $\frac{8 + 8}{2}=8$.

Step3: Find the median (Med)

Since there are 8 values, the median is the average of the 4th and 5th ordered values. $\frac{8+12}{2} = 10$.

Step4: Find the third quartile (Q3)

The upper half of the data is 12, 15, 16, 17. The median of this upper - half (Q3) is $\frac{15 + 16}{2}=15.5$.

Step5: Find the maximum value

The maximum value in the data - set is 17.

Answer:

Min: 5
Q1: 8
Med: 10
Q3: 15.5
Max: 17