Question

Nia recorded her science and math scores. The measures of center and variation for each score are shown in the table below.

Measures of Center and Variation
for Nia’s Science and Math Scores

Science
Math
Mean
64
58
Median
60
60
Mode
62
62
Range
8
50
Mean Absolute Deviation
2.4
14.4

Which inferences can be made when analyzing the data summary in the table? Select three choices.
Her mean science score is higher than her mean math score.
She prefers science over math.
There is more variation in her math scores.
Her science scores are more spread out than her math scores.
Her median scores are the same for each subject.
Answer Ed A,D.E

Answer 1

Based on the data summary provided, the following inferences can be made:

A. Her mean science score is higher than her mean math score.
D. Her science scores are more spread out than her math scores.
E. Her median scores are the same for each subject.

These inferences can be drawn because the mean science score (64) is higher than the mean math score (58), indicating that, on average, Nia performed better in science than in math. Additionally, the mean absolute deviation for science scores (2.4) is smaller than the mean absolute deviation for math scores (14.4), suggesting that there is less variation in science scores compared to math scores. Finally, the median scores for both subjects are the same (60), indicating that the middle value of the scores is equal for science and math.