Percentages of success

randitwin

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Joined
Sep 19, 2012
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The problem:
A researcher was once criticized for falsifying data. Among his data were figures obtained from 7 groups of mice, with 20 individual mice in each group. These values were given for the percentage of successes in each group 53% 58%67% 46% 48% 67% 54%. What is wrong with these values?

The answer:
All percentages of success should be multiples of 5.

I dont understand why that is the case. Why do they have to be multiples of 5?
 
The problem:
A researcher was once criticized for falsifying data. Among his data were figures obtained from 7 groups of mice, with 20 individual mice in each group. These values were given for the percentage of successes in each group 53% 58%67% 46% 48% 67% 54%. What is wrong with these values?

The answer:
All percentages of success should be multiples of 5.

I dont understand why that is the case. Why do they have to be multiples of 5?
If no mouse in a given group of 20 was a "success," what would the percentage of "success" be?

If 1 mouse in a given group of 20 was a "success," what would the percentage of "success" be?

If 2 mice in a given group of 20 were "success, what would the percentage of "success" be?

In general, if x mice in a given group of 20 were "successes," the ratio of "successes" to trials would be:

\(\displaystyle \dfrac{x}{20} = \left(100 * \dfrac{x}{20}\right)\% = 5x\%.\)

Clear now?
 
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