Statistics: Mode
| Score | Number of students |
|-------|--------------------|
| 20 | 4 |
| 21 | 2 |
| 22 | 5 |
| 23 | 1 |
The table shows scores of twelve students in a science class. What is the mode of the scores listed?
Incorrect.
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This is a trap answer choice. The number 5 is indeed the greatest __number of students__ who scored a certain score, but it is not a score. Since the question asked for the mode of the scores, the result has to be one of the scores (i.e., the numbers in the left column).
Incorrect.
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Correct.
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The table is shorthand for the list of scores:
>$$\{20, \ 20, \ 20, \ 20, \ 21, \ 21, \ 22, \ 22, \ 22, \ 22, \ 22, \ 23\}$$.
The number 22 occurs the most often in the list of scores given in the question. Therefore, 22 is the mode.
Incorrect.
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There are four 20s in the list, but another score occurs more often.
Incorrect.
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There is only one 23 in the list. Other scores occur more often.
4
5
20
22
23
