Question

Ms. Harris is comparing test scores in four of her classes. The results are listed below. Class 1 Class 2 Class 3 Class 4 Mean Score: 86.5 Median Score: 84 St. Deviation: 4.56 Mean Score: 79.8 Median Score: 76 St. Deviation: 3.23 Mean Score: 78.5 Median Score: 84 St. Deviation: 7.8 Mean Score: 65.2 Median Score: 61 St. Deviation: 5.67 In which of her classes did most students have the widest range of scores?

Answer 1

Answer: Class 3

Explanation:

Standard Deviation is a measure of dispersion which means that it measures how far apart the values in the dataset are from the mean.

If the values in the dataset are close together, the standard deviation will be smaller. The reverse is true.

The class with the widest range is there the class with the highest Standard Deviation.

With a SD of 7.8, Class 3 has the widest range of scores.