Question

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 Variation for Tyrell’s Science and Math Scores Science Math Mean 78 80 Median 80 80 Mode 60 85 Range 40 15 Mean Absolute Deviation 14.4 4.0 Which inference can be made when analyzing the data in the table? There is more variation in the science scores. Tyrell prefers math over science. The mode is the best measure of the typical score for both science and math. The median for each subject is the same as the mean.

Answer 1

I believe it is A: There is more variation in the science scores.

Answer 2

The correct is 1. There is more variation in the science scores.

Explanation:

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 Variation for Tyrell’s Science Math

Mean 78 80

Median 80 80

Mode 60 85

Range 40 15

Mean Absolute Deviation 14.4 4.0

The larger mean absolute deviation represent the greater variation.

Since the mean absolute deviation of science score is more than the math score, therefore There is more variation in the science scores.

Hence the correct option is 1.

Mean is the best measure of the typical score of both science and math because it includes all the values.

Therefore option 3 is incorrect.

Mean of science is 78 and median of science is 80.

Since 78≠80, therefore mean and median are not same.

Therefore option 4 is incorrect.