Question

tyrell recorded his science scores and his math scores. the measures of center and variation for each score are shown in the table. which inference can be made when analyzing the data in the table? the median for each subject is the same as the mean. there is more variation in the science scores. the mode is the best measure of the typical score for both science and math. tyrell prefers math over science.

Explanation:

• For the first option:
• Science: Mean = 78, Median = 80. They are not the same.
• Math: Mean = 80, Median = 80. They are the same. Since it's not true for both, this option is incorrect.
• For the second option:
• Variation can be measured by range or mean absolute deviation.
• Science: Range = 40, Mean Absolute Deviation = 14.4.
• Math: Range = 15, Mean Absolute Deviation = 4.0.
• Larger values of range and mean absolute deviation for science indicate more variation in science scores. This option is correct.
• For the third option:
• Science: Mode = 60 which is much lower than mean (78) and median (80). So, mode is not a good measure of typical score for science.
• Math: Mode = 85 which is higher than mean (80). So, mode is not a good measure of typical score for math. This option is incorrect.
• For the fourth option:
• The data given is about scores, not about preference. We cannot infer preference from score - related statistical measures. This option is incorrect.

Answer:

There is more variation in the science scores.