Question

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, 13, 14, 15, 16, 16 min: q1: med: q3: max: create the box plot by dragging the lines:

Explanation:

Step1: Arrange data in ascending order

The data set is already in ascending - order: 5, 9, 9, 10, 13, 14, 15, 16, 16.

Step2: Find the minimum value

The minimum value (Min) of the data set is the smallest number. Min = 5.

Step3: Find the first - quartile (Q1)

The first - quartile is the median of the lower half of the data. The lower half of the data is 5, 9, 9, 10. Since there are 4 numbers, the median of this set is $\frac{9 + 9}{2}=9$. So Q1 = 9.

Step4: Find the median (Med)

The median of the entire data set. Since there are 9 numbers, the median is the 5th number. Med = 13.

Step5: Find the third - quartile (Q3)

The third - quartile is the median of the upper half of the data. The upper half of the data is 14, 15, 16, 16. Since there are 4 numbers, the median of this set is $\frac{15+16}{2}=15.5$. So Q3 = 15.5.

Step6: Find the maximum value

The maximum value (Max) of the data set is the largest number. Max = 16.

Answer:

Min: 5
Q1: 9
Med: 13
Q3: 15.5
Max: 16