SOLUTION: Ginny's median score on three tests was 88. Her mean score was 87 and her range was 5. What were her three test scores?

Question 1022375: Ginny's median score on three tests was 88. Her mean score was 87 and her range was 5. What were her three test scores?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Ginny's median score of 88 would be her middle score.
Her average (mean) score is 87,
so the sum of her scores is 3(87)=261.
.
Let her low score=x, her high score is x+5 (range is 5):
(x)+88+(x+5)=261
2x+93=261
2x=168
x=84
.
Ginny's low score was 84 points
.
Ginny's high score was (84 points)+(5 points)=99 points
.
Ginny's three scores were 84, 88, and 89.
.
CHECK:
Ginny's average (mean)=87
.
(sum of scores)/(number of scores)=(average of scores)
((84)+(88)+(89))/3=87
87=87
.

RELATED QUESTIONS
Ginny's median score on three test was 89. Her mean score was 88 and her range was 11.... (answered by macston)

Gina's median score on the three tests was 89. Her mean score was 82 and her range was... (answered by psbhowmick)

Lucy took three tests. If her median score was 82, her mean score was 87, and the range... (answered by MathLover1)

jan had an average of 88 on her first three math test. her scores on the second and third (answered by ankor@dixie-net.com)

Marta's mean score for four science tests is 88. She scored 84, 87, and 91 on three of... (answered by Boreal)

Bonnie's average score on three tests is 7 1 . Her first two test scores are 64 and 87.... (answered by Fombitz)

Ellen's first three test scores were consecutive odd integers. Her fourth score was 83.... (answered by josmiceli)

After three tests, Amanda's average score was 88. What score must she earn on her next... (answered by ewatrrr)

On the first of three tests, Charlotte scored 72 points. On the third test, her score was (answered by mananth)