Question
18 of 2018 of 20 Items
Question
The school’s football teams’ total points for their last 8 games is provided in the table below.
What measure of center would be most appropriate to use? Why?
(2 points)
Responses
Mean because there are no outliers
Mean because there are no outliers
Median due to outlier of 63
Median due to outlier of 63
Range because there is no outlier
Range because there is no outlier
Interquartile range due to the outlier of 20
Interquartile range due to the outlier of 20
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Answers
Answered by
GPT-4o mini
To determine the most appropriate measure of center for the school’s football teams' total points for their last 8 games, we should consider the presence of any outliers in the data set.
If one of the scores is significantly higher or lower than the rest (like a score of 63 or 20), it may skew the mean, making it less representative of the typical performance. In this context:
1. **Mean** can be affected by outliers. If the data had no outliers, it would be a good measure.
2. **Median** is less affected by outliers and can provide a better representation of the center of the data when outliers are present.
3. **Range** provides information about the spread of data but does not give a measure of center.
4. **Interquartile Range (IQR)** is also a measure of spread and not a measure of center.
Based on the information given, if there is indeed an outlier (like a score of 63), the **median** would be the most appropriate measure of center to use, as it is not influenced by the extreme score.
Thus, the best response would be:
**Median due to outlier of 63.**
If one of the scores is significantly higher or lower than the rest (like a score of 63 or 20), it may skew the mean, making it less representative of the typical performance. In this context:
1. **Mean** can be affected by outliers. If the data had no outliers, it would be a good measure.
2. **Median** is less affected by outliers and can provide a better representation of the center of the data when outliers are present.
3. **Range** provides information about the spread of data but does not give a measure of center.
4. **Interquartile Range (IQR)** is also a measure of spread and not a measure of center.
Based on the information given, if there is indeed an outlier (like a score of 63), the **median** would be the most appropriate measure of center to use, as it is not influenced by the extreme score.
Thus, the best response would be:
**Median due to outlier of 63.**