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A researcher was once criticized for falsifying data. Among his data were figure

ID: 3297409 • Letter: A

Question

A researcher was once criticized for falsifying data. Among his data were figures obtained from 7 groups of mice with 4 individual mice in each group. These values were given for the percentage of successes in each group: 53%, 58%, 63%, 46%, 48%, 67%, 54%. What's wrong with those values?

A. All percentages of success should be multiples of 25. The given percentages cannot be correct.

B. All percentages of success should be multiples of 7. The given percentages cannot be correct.

C. All percentages of success should be multiples of 8. The given percentages cannot be correct.

D. All percentages of success should be multiples of 4. The given percentages cannot be correct.

Explanation / Answer

Solution:

option

A. All percentages of success should be multiples of 25. The given percentages cannot be correct.

The percentage of success is #successes/4, and since #success has to be an integer between 0 and 4, the possible values are 0/4=0, 1/4=25%, 2/4=50%, etc. up to 4/4=100%. All of these are multiples of 25.

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