Use the table to answer the question.
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?
(1 point)
Group
Group 2 is more dispersed than Group 1. This can be observed by looking at the range of scores in each group. The range of scores in Group 1 is 43-14 = 29, while the range of scores in Group 2 is 34-16 = 18. Since the range of scores in Group 1 is larger than in Group 2, Group 1 is more dispersed.
To determine which group of scores is more dispersed, one way is to compare the range of scores for each group. The range is calculated by subtracting the minimum value from the maximum value.
For Group 1:
Minimum score = 14
Maximum score = 43
Range = Maximum score - Minimum score = 43 - 14 = 29
For Group 2:
Minimum score = 16
Maximum score = 34
Range = Maximum score - Minimum score = 34 - 16 = 18
Comparing the ranges, we can see that the range for Group 1 (29) is larger than the range for Group 2 (18). Therefore, Group 1 is more dispersed than Group 2.