Question

score: 0/10 answered: 8/10
question 10
the data below shows the number of jobs that a sample of people had in their lifetime:
8 13 12 5 9
7 6 12 6 8
6 15 9
provide the five - number summary: (round the answers to 2 decimal places)
min q1 median q3 max
enter an integer or decimal number more...
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Explanation:

Step1: Combine and sort data

Combine all data: \(8,13,12,5,9,7,6,12,6,8,6,15,9\).
Sort in ascending order: \(5,6,6,6,7,8,8,9,9,12,12,13,15\).

Step2: Find Min and Max

Min is the smallest value: \(5\).
Max is the largest value: \(15\).

Step3: Find Median

There are \(n = 13\) data points. Median is the \(\frac{n + 1}{2}\)th value. \(\frac{13+ 1}{2}=7\)th value. So median is \(8\).

Step4: Find Q1

Q1 is the median of the lower half. Lower half: \(5,6,6,6,7,8\). There are \(n_1=6\) data points. Q1 is the \(\frac{6}{2}=3\)rd value. So Q1 is \(6\).

Step5: Find Q3

Q3 is the median of the upper half. Upper half: \(9,9,12,12,13,15\). There are \(n_2 = 6\) data points. Q3 is the \(\frac{6}{2}=3\)rd value. So Q3 is \(12\).

Answer:

Min	Q1	Median	Q3	Max