Consider the total number of people that attempted each routine.
See solution.
Practice makes perfect
We are given a table that shows the results of people who followed three different workout routines. Let's look at the table!
Reached Goal
Does Not Reach Goal
Routine A
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Routine B
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Routine C
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Our friend says that Routine B is the best because it has the fewest tally marks in Does Not Reach Goal. But our friend is not considering the total number of people that attempted each routine. Let's find these totals by adding the frequencies of each row to find the marginal relative frequency.
Reached Goal
Does Not Reach Goal
Total
Routine A
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8
Routine B
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6
Routine C
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11
To properly compare the results of each routine, we can divide the number of times that the goal was reached by the total number of people that attempted the routine. Let's write this in another table!
Reached Goal
Total
Ratio
Routine A
5
8
5/8=0.625
Routine B
4
6
4/6≈ 0.667
Routine C
7
11
7/11 = 0.636
Let's compare the routines in terms of the percent chance that someone who attempted a routine reached their goals.
Routine A:& 0.625 = 62.5 %
Routine B:& 0.667 = 66.7 %
Routine C:& 0.625 = 62.5 %
We can see that the routine with the greatest percent chance of having the goal reached is Routine B. Therefore, our friend was correct, but their reasoning was incorrect.
