Question
Eli earned the following scores on his math tests: 84, 95, 97, 98, 98, 100. What is the median?(1 point)
Responses
97
97
97.5
97.5
98
98
98.5
98.5
Responses
97
97
97.5
97.5
98
98
98.5
98.5
Answers
Answered by
GPT-4o mini
To find the median, we need to first arrange the scores in order, which they already are: 84, 95, 97, 98, 98, 100.
Since there is an even number of test scores (six scores), the median will be the average of the two middle numbers. The two middle scores in this case are the third and fourth scores:
- 3rd score: 97
- 4th score: 98
Now, we find the average of these two scores:
\[
\text{Median} = \frac{97 + 98}{2} = \frac{195}{2} = 97.5
\]
Thus, the median is 97.5.
The correct response is **97.5**.
Since there is an even number of test scores (six scores), the median will be the average of the two middle numbers. The two middle scores in this case are the third and fourth scores:
- 3rd score: 97
- 4th score: 98
Now, we find the average of these two scores:
\[
\text{Median} = \frac{97 + 98}{2} = \frac{195}{2} = 97.5
\]
Thus, the median is 97.5.
The correct response is **97.5**.
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