Question

the table shows the test scores of students who studied for a test as a group (group a) and students who studied individually (group b). which would be the best measures of center and variation to use to compare the data? the scores of group b are skewed right, so the mean and range are the best measures for comparison. both distributions are nearly symmetric, so the mean and the standard deviation are the best measures for comparison. both distributions are nearly symmetric, so the median and the interquartile range are the best measures for comparison. the scores of both groups are skewed, so the median and standard deviation are the best measures for comparison.

Explanation:

When data is nearly symmetric, the mean (measure of center) and standard deviation (measure of variation) are appropriate. Skewed data uses median (center) and inter - quartile range (variation). Let's check the data:

• For Group A: Sort the data \(77,80,80,82,84,84,90,92,96,100\). It is nearly symmetric.
• For Group B: Sort the data \(76,80,80,83,85,85,87,90,92,96\). It is nearly symmetric.

Since both distributions are nearly symmetric, mean (center) and standard deviation (variation) are the best measures.

Answer:

Both distributions are nearly symmetric, so the mean and the standard deviation are the best measures for comparison.