Question

choose the two line plots that result in a median of 7. a satisfaction rating for bobs plumbing x = 1 client b satisfaction rating for briar hill plumbing x = 1 client c satisfaction rating for plumbing associates x = 1 client d

Explanation:

Step1: List data for Plot A

Ratings: $1,1,1,1,3,6,8,8,8,14,15,15$ (12 data points)

Step2: Find median of Plot A

For even $n=12$, median = $\frac{6^{th}+7^{th}}{2} = \frac{6+8}{2}=7$

Step3: List data for Plot B

Ratings: $6,6,6,7,7,7,8,8,9,9,10,10$ (12 data points)

Step4: Find median of Plot B

Median = $\frac{6^{th}+7^{th}}{2} = \frac{7+8}{2}=7.5$

Step5: List data for Plot C

Ratings: $1,2,3,6,6,7,7,9,10,11,14,15$ (12 data points)

Step6: Find median of Plot C

Median = $\frac{6^{th}+7^{th}}{2} = \frac{7+7}{2}=7$

Step7: Confirm valid plots

Plots A and C have median 7.

Answer:

A. Satisfaction Rating for Bob's Plumbing, C. Satisfaction Rating for Plumbing Associates