The first table shows the measures of variability for finish times of 30 runners in the 100-meter dash. Calista’s finish times are recorded in the second table. She cannot tell which number is for which year. Based on the data table, when did Calista likely record Finish Time A? Explain.

A.
This year, because finish times were less this year, on average, as compared to last year.

B
Last year, because finish times were less last year, on average, as compared to this year.

C
This year, because finish times were greater this year, on average, as compared to last year.

D
Last year, because finish times were greater last year, on average, as compared to this year.

The first table shows the measures of variability for finish times of 30 runners in the 100meter dash Calistas finish times are recorded in the second table Sh class=

Respuesta :

Time A is her higher time and last year had a higher mean.

The answer is:

D . Last year, because finish times were greater last year, on average, as compared to this year.

Because finish time A is the larger one, and last year's mean was larger than this year's mean, we conclude that finish time A was recorded last year.

When did Calista likely record finish time A?

We can see that finish time A is larger (by 2 seconds) than finish time B, so we can assume that the mean for year A will be larger than the mean for year B.

On the other table, we can see that last year the mean was larger (16.2 s compared with 14.7 s this year).

Then we can assume that Finish Time A was recorded last year, just because the mean of last year was larger.

Thus the correct option is D.

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