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 1
To determine which group of scores is more dispersed, we need to calculate a measure of dispersion for each group. One common measure of dispersion is the range, which is the difference between the highest and lowest scores in a group.
First, let's calculate the range for Group 1:
Highest score = 43
Lowest score = 14
Range = Highest score - Lowest score = 43 - 14 = 29
Next, let's calculate the range for Group 2:
Highest score = 34
Lowest score = 16
Range = Highest score - Lowest score = 34 - 16 = 18
Comparing the ranges, we can see that the range for Group 1 is higher (29) compared to the range for Group 2 (18). Therefore, Group 1 is more dispersed than Group 2.