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.

6,7,7,8,10,13,13,13,15,15

min: q1: med: q3: max:

create the box plot by dragging the lines:
box plot image with number line 0–20

answer attempt 1 out of 3

you must answer all questions above in order to submit.

Explanation:

Step1: Find Min and Max

The minimum value (Min) is the smallest number in the data set, and the maximum value (Max) is the largest.
Data set: \(6, 7, 7, 8, 10, 13, 13, 13, 15, 15\)
Min: \(6\)
Max: \(15\)

Step2: Find Median (Med)

The median is the middle value of the ordered data set. Since there are 10 (even) values, we take the average of the 5th and 6th values.
5th value: \(10\), 6th value: \(13\)
Med: \(\frac{10 + 13}{2} = 11.5\)

Step3: Find Q1 (First Quartile)

Q1 is the median of the lower half of the data (values below the median). The lower half is \(6, 7, 7, 8, 10\) (5 values, median is the 3rd value).
Q1: \(7\)

Step4: Find Q3 (Third Quartile)

Q3 is the median of the upper half of the data (values above the median). The upper half is \(13, 13, 13, 15, 15\) (5 values, median is the 3rd value).
Q3: \(13\)

Answer:

Min: \(6\)
Q1: \(7\)
Med: \(11.5\)
Q3: \(13\)
Max: \(15\)

For the box - and - whiskers plot:

• The left whisker extends from Min (\(6\)) to Q1 (\(7\)).
• The box extends from Q1 (\(7\)) to Q3 (\(13\)), with a line inside the box at the median (\(11.5\)).
• The right whisker extends from Q3 (\(13\)) to Max (\(15\)).