Tyrell recorded his science scores and his math scores. The measures of center and variation for each score are shown in the table below.Measures of Center and Variationfor Tyrell’s Science and Math Scores ScienceMathMean7880Median8080Mode6085Range4015Mean Absolute Deviation14.44.0Which inference can be made when analyzing the data in the table?
Answer
A
There is more variation in the science scores.
B
Tyrell prefers math over science.
C
The mode is the best measure of the typical score for both science and math.
D
The median for each subject is the same as the mean.
Explanation
Science scores have greater variation than math scores: the science range is 40 compared with 15 for math, and the science mean absolute deviation is 14.4 compared with 4.0 for math. Both measures show that science scores are more spread out, so the inference is that there is more variation in the science scores.
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