Question

six students were asked to list their math quiz scores. their responses are listed below.

student	quiz scores
buford	70, 75, 80, 85, 90
carla	55, 72, 80
daridjan	80, 80, 85, 90, 90
edna	70, 72, 78, 82, 90, 92
fran	75, 77, 88

which of the following students had a median quiz score of 80? select three that apply

Explanation:

Step1: Recall Median Formula

For a set with \( n \) values:

• If \( n \) is odd, median is the \( \frac{n + 1}{2} \)-th value (sorted).
• If \( n \) is even, median is the average of \( \frac{n}{2} \)-th and \( \frac{n}{2}+1 \)-th values (sorted).

Step2: Analyze Adam's Scores

Sorted: \( 60, 80, 80, 92 \) (\( n = 4 \), even).
Median: \( \frac{80 + 80}{2} = 80 \).

Step3: Analyze Buford's Scores

Sorted: \( 70, 75, 80, 85, 90 \) (\( n = 5 \), odd).
Median: \( 3 \)-rd value \( = 80 \).

Step4: Analyze Carla's Scores

Sorted: \( 55, 72, 80 \) (\( n = 3 \), odd).
Median: \( 2 \)-nd value \( = 72
eq 80 \).

Step5: Analyze Daridjan's Scores

Sorted: \( 80, 80, 85, 90, 90 \) (\( n = 5 \), odd).
Median: \( 3 \)-rd value \( = 85
eq 80 \).

Step6: Analyze Edna's Scores

Sorted: \( 70, 72, 78, 82, 90, 92 \) (\( n = 6 \), even).
Median: \( \frac{78 + 82}{2} = 80 \).

Step7: Analyze Fran's Scores

Sorted: \( 75, 77, 88 \) (\( n = 3 \), odd).
Median: \( 2 \)-nd value \( = 77
eq 80 \).

Answer:

Adam, Buford, Edna