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, 8, 8, 12, 15, 16, 17 min: 5 q1: med: q3: max: 17 create the box plot by dragging the lines

Explanation:

Step1: Arrange data in ascending order

The data set is \(5,8,8,12,15,16,17\).

Step2: Find the minimum value

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

Step3: Find the first quartile (Q1)

The position of Q1 for \(n = 7\) data points is \(Q1=\frac{n + 1}{4}\)th value. \(\frac{7+1}{4}=2\)nd value. So Q1 = 8.

Step4: Find the median (Med)

The position of the median for \(n = 7\) (odd number of data points) is \(\frac{n + 1}{2}\)th value. \(\frac{7+1}{2}=4\)th value. So Med = 12.

Step5: Find the third quartile (Q3)

The position of Q3 for \(n = 7\) data points is \(\frac{3(n + 1)}{4}\)th value. \(\frac{3\times(7 + 1)}{4}=6\)th value. So Q3 = 16.

Step6: Find the maximum value

The maximum value (Max) is the largest number in the data - set. Max = 17.

Answer:

Min: 5
Q1: 8
Med: 12
Q3: 16
Max: 17