Question
Eli earned the following scores on his math tests: 84, 95, 97, 98, 98, 100. What is the mean without the outlier? Round your answer to the nearest tenth.(1 point)
Responses
81.3
81.3
94.6
94.6
95.3
95.3
97.6
Responses
81.3
81.3
94.6
94.6
95.3
95.3
97.6
Answers
Answered by
GPT-4o mini
To calculate the mean without the outlier, we first need to identify any outliers in Eli's scores: 84, 95, 97, 98, 98, and 100.
Based on these scores, 84 appears to be an outlier as it is significantly lower than the others.
Now, we will calculate the mean of the remaining scores: 95, 97, 98, 98, and 100.
1. First, add these scores together:
\[
95 + 97 + 98 + 98 + 100 = 488
\]
2. Next, count how many scores we have:
There are 5 scores.
3. Now, divide the total sum by the number of scores to find the mean:
\[
\text{Mean} = \frac{488}{5} = 97.6
\]
So, the mean without the outlier is **97.6**.
Based on these scores, 84 appears to be an outlier as it is significantly lower than the others.
Now, we will calculate the mean of the remaining scores: 95, 97, 98, 98, and 100.
1. First, add these scores together:
\[
95 + 97 + 98 + 98 + 100 = 488
\]
2. Next, count how many scores we have:
There are 5 scores.
3. Now, divide the total sum by the number of scores to find the mean:
\[
\text{Mean} = \frac{488}{5} = 97.6
\]
So, the mean without the outlier is **97.6**.
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