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. 5,9,9,10,12,13,15,16,17,17 min: □ q1: □ med: □ q3: □ max: □ create the box plot by dragging the lines: box plot with number line from 0 to 20

Explanation:

Step1: Find Minimum (Min)

The minimum value is the smallest number in the data set.
Data set: \(5, 9, 9, 10, 12, 13, 15, 16, 17, 17\)
So, Min = \(5\)

Step2: Find Median (Med)

The median is the middle value when the data is ordered. Since there are 10 values (even number), we take the average of the 5th and 6th values.
Ordered data: \(5, 9, 9, 10, 12, 13, 15, 16, 17, 17\)
5th value: \(12\), 6th value: \(13\)
Med = \(\frac{12 + 13}{2} = 12.5\)

Step3: Find First Quartile (Q1)

Q1 is the median of the lower half of the data (excluding the median if n is even). Lower half: \(5, 9, 9, 10, 12\) (5 values, median is the 3rd value)
So, Q1 = \(9\)

Step4: Find Third Quartile (Q3)

Q3 is the median of the upper half of the data (excluding the median if n is even). Upper half: \(13, 15, 16, 17, 17\) (5 values, median is the 3rd value)
So, Q3 = \(16\)

Step5: Find Maximum (Max)

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

Answer:

Min: \(5\)
Q1: \(9\)
Med: \(12.5\)
Q3: \(16\)
Max: \(17\)

(For the box - and - whisker plot: The left whisker goes from \(5\) to \(9\) (Q1), the box is between \(9\) (Q1) and \(16\) (Q3) with a line at \(12.5\) (Med), and the right whisker goes from \(16\) (Q3) to \(17\) (Max).)