Question

the data below shows the number of jobs that a sample of people had in their lifetime:
5 5 6 6 7 9 10 11 11 12 15 15 15 15
provide the five-number summary: (round the answers to 2 decimal places)
min q1 median q3 max
create the boxplot:

Explanation:

Step1: Identify Min and Max

Min is the smallest value, Max is largest.
Min = 5, Max = 15

Step2: Find the Median

Data is sorted: $[5,5,6,6,7,9,10,11,11,12,15,15,15,15,15]$. There are $n=15$ values. Median is the $\frac{n+1}{2}=8$th value.
Median = 11.00

Step3: Calculate Q1 (Lower Quartile)

Q1 is median of first half (first 7 values: $[5,5,6,6,7,9,10]$). It is the 4th value.
Q1 = 6.00

Step4: Calculate Q3 (Upper Quartile)

Q3 is median of second half (last 7 values: $[11,12,15,15,15,15,15]$). It is the 4th value of this subset.
Q3 = 15.00

Step5: Match to Boxplot

The boxplot must have whiskers at 5 and 15, box edges at 6 and 15, median line at 11. This matches the first boxplot (axis 5-15, box from 6 to 15, median at 11).

Answer:

Five-Number Summary:

Min: 5.00, Q1: 6.00, Median: 11.00, Q3: 15.00, Max: 15.00

Correct Boxplot:

The first boxplot (with x-axis ranging from 5 to 15, box spanning 6 to 15, median line at 11)