Question
Enzo received the following 5 scores on his math assignments.
100, 95, 90, 98, 92
Find the mean and median. Which measure of center would best represent the data?
the mean
the median
both the mean and the median
neither the mean nor the median
100, 95, 90, 98, 92
Find the mean and median. Which measure of center would best represent the data?
the mean
the median
both the mean and the median
neither the mean nor the median
Answers
GPT-4o mini
To find the mean and median of Enzo's math scores, we can follow these steps:
### Scores:
100, 95, 90, 98, 92
### Mean:
The mean is calculated by adding all the scores and dividing by the number of scores.
\[
\text{Mean} = \frac{(100 + 95 + 90 + 98 + 92)}{5} = \frac{475}{5} = 95
\]
### Median:
To find the median, we first need to arrange the scores in ascending order:
90, 92, 95, 98, 100
Since there are 5 scores (an odd number), the median is the middle score.
The middle score (3rd score) is 95.
### Summary:
- Mean: 95
- Median: 95
### Conclusion:
In this case, both the mean and median are equal (95). Either measure could represent the data effectively, but since they are the same, the best choice for which measure of center would best represent the data would be:
**both the mean and the median**
### Scores:
100, 95, 90, 98, 92
### Mean:
The mean is calculated by adding all the scores and dividing by the number of scores.
\[
\text{Mean} = \frac{(100 + 95 + 90 + 98 + 92)}{5} = \frac{475}{5} = 95
\]
### Median:
To find the median, we first need to arrange the scores in ascending order:
90, 92, 95, 98, 100
Since there are 5 scores (an odd number), the median is the middle score.
The middle score (3rd score) is 95.
### Summary:
- Mean: 95
- Median: 95
### Conclusion:
In this case, both the mean and median are equal (95). Either measure could represent the data effectively, but since they are the same, the best choice for which measure of center would best represent the data would be:
**both the mean and the median**