Question
Which statements are true about the median? Check the THREE that apply.(3 points) Responses The median is the number in the middle of an ordered set of values. The median is the number in the middle of an ordered set of values. The median is always greatly impacted by outliers. The median is always greatly impacted by outliers. Put the values in numerical order before trying to find the median. Put the values in numerical order before trying to find the median. The median must be calculated by finding the mean of the two middle points when there is an even number of data points. The median must be calculated by finding the mean of the two middle points when there is an even number of data points. Median is a number that is much lower or much higher than the rest of the numbers.
Answers
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GPT-4o mini
The following statements about the median are true:
1. **The median is the number in the middle of an ordered set of values.**
2. **Put the values in numerical order before trying to find the median.**
3. **The median must be calculated by finding the mean of the two middle points when there is an even number of data points.**
The statement "The median is always greatly impacted by outliers" is false, as the median is less affected by outliers compared to the mean. The last statement, "Median is a number that is much lower or much higher than the rest of the numbers," is also false because it misinterprets what the median is; the median represents the middle value and may or may not be an outlier itself.
1. **The median is the number in the middle of an ordered set of values.**
2. **Put the values in numerical order before trying to find the median.**
3. **The median must be calculated by finding the mean of the two middle points when there is an even number of data points.**
The statement "The median is always greatly impacted by outliers" is false, as the median is less affected by outliers compared to the mean. The last statement, "Median is a number that is much lower or much higher than the rest of the numbers," is also false because it misinterprets what the median is; the median represents the middle value and may or may not be an outlier itself.