Question

look at this list of numbers. 4\frac{1}{2} 5 5 5\frac{1}{2} 6\frac{1}{2} 6\frac{1}{2} 7 8 8 which box plot represents the list?

Explanation:

Step1: Find minimum value

$4\frac{1}{2}$

Step2: Find first - quartile (Q1)

Median of lower half: 5

Step3: Find median (Q2)

$\frac{5\frac{1}{2}+6\frac{1}{2}}{2}=6$

Step4: Find third - quartile (Q3)

Median of upper half: 7

Step5: Find maximum value

8

Answer:

The box - plot with minimum at $4\frac{1}{2}$, Q1 at 5, median at 6, Q3 at 7 and maximum at 8. (Since no options are labeled, describe the correct box - plot characteristics)