Question

Use the table to answer the question.

Scores of Group1 and Group 2
Group 1 20 22 14 25 18 33 28 35 43 18
Group 2 16 24 30 26 28 32 34 23 25 33
The math scores of the two groups of students are summarized in the table.
Which group of scores is more dispersed than the other?

Answer 1

Group 1 is more dispersed.

Summary:
- Group 1: mean = 25.6, sample standard deviation ≈ 9.10, range = 43 − 14 = 29
- Group 2: mean = 27.1, sample standard deviation ≈ 5.49, range = 34 − 16 = 18

Both the larger standard deviation and larger range show Group 1 has greater dispersion.