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. 5,5,6,9,11,14,15,16 min: 5 q1: med: q3: max: 16 create the box plot by dragging the lines:

Explanation:

Step1: Find the median (Med)

The data set has 8 values. The median is the average of the 4th and 5th - ordered values. $\text{Med}=\frac{9 + 11}{2}=10$.

Step2: Find the lower - half of the data

The lower - half of the data is $5,5,6,9$.

Step3: Find Q1

Q1 is the median of the lower - half of the data. Since there are 4 values in the lower - half, Q1 is the average of the 2nd and 3rd values. $\text{Q1}=\frac{5+6}{2}=5.5$.

Step4: Find the upper - half of the data

The upper - half of the data is $11,14,15,16$.

Step5: Find Q3

Q3 is the median of the upper - half of the data. Since there are 4 values in the upper - half, Q3 is the average of the 2nd and 3rd values. $\text{Q3}=\frac{14 + 15}{2}=14.5$.

Answer:

Q1: 5.5
Med: 10
Q3: 14.5