Lucy took three tests. If her median score was 84, her mean score was 87, and the range was 15, what were her three test scores?

Question

Lucy took three tests. If her median score was 84, her mean score was 87, and the range was 15, what were her three test scores?

Answer 1

(84+X+Y)/3 = 87

84+X+Y = 261

X+Y=261-84 = 177

X+Y= 177

X-Y = 15

2X = 192

X = 192/2 = 96

Y =X-15 = 81

the 3 scores are 81, 84 and 96, they average to 87, with a range of 15 (96-81=15)