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Liz and Sara each ride their bikes every day. The table shows the number of miles Liz and Sara rode their bikes during five randomly selected days. Based on the data in the table, who has a greater mean and how much is it greater?

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Answer:

To determine who has a greater mean, we need to calculate the mean (average) number of miles ridden by Liz and Sara and compare them.

Day Liz Sara

1 7 6

2 12 8

3 10 5

4 8 10

5 5 7

To find the mean for Liz, we add up the miles she rode and divide by the number of days:

Mean for Liz = (7 + 12 + 10 + 8 + 5) / 5 = 8.4 miles per day

To find the mean for Sara, we add up the miles she rode and divide by the number of days:

Mean for Sara = (6 + 8 + 5 + 10 + 7) / 5 = 7.2 miles per day

Therefore, Liz has a greater mean than Sara by 1.2 miles per day (8.4 - 7.2 = 1.2).

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