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. 5,6,9,10,12,12,13,13,15,15,15,18 min: □ q1: □ med: □ q3: □ max: □ create the box plot by dragging the lines: box plot with x - axis from 0 to 20

Explanation:

Step1: Find Min and Max

Min is the smallest value, Max is the largest.
Data: \(5,6,9,10,12,12,13,13,15,15,15,18\)
Min: \(5\), Max: \(18\)

Step2: Find Median (Med)

Data has \(n = 12\) values (even). Median is average of 6th and 7th terms.
6th term: \(12\), 7th term: \(13\)
Med: \(\frac{12 + 13}{2} = 12.5\)

Step3: Find Q1 (First Quartile)

Lower half: \(5,6,9,10,12,12\) (6 values). Median of lower half (Q1) is average of 3rd and 4th terms.
3rd term: \(9\), 4th term: \(10\)
Q1: \(\frac{9 + 10}{2} = 9.5\)

Step4: Find Q3 (Third Quartile)

Upper half: \(13,13,15,15,15,18\) (6 values). Median of upper half (Q3) is average of 3rd and 4th terms.
3rd term: \(15\), 4th term: \(15\)
Q3: \(\frac{15 + 15}{2} = 15\)

Answer:

Min: \(5\), Q1: \(9.5\), Med: \(12.5\), Q3: \(15\), Max: \(18\)

(For the box - and - whisker plot: The left whisker starts at \(5\), the left end of the box at \(9.5\), the line inside the box at \(12.5\), the right end of the box at \(15\), and the right whisker ends at \(18\).)