Question
If I have a data set that overall is symmetric and I add a data point that is very high, what will happen to the mean?
Responses
A The mean will decrease.The mean will decrease.
B The mean will increase.The mean will increase.
C The mean will be raised by one data point value.The mean will be raised by one data point value.
D The mean will not change unless that data point was already in the data set.The mean will not change unless that data point was already in the data set.
Responses
A The mean will decrease.The mean will decrease.
B The mean will increase.The mean will increase.
C The mean will be raised by one data point value.The mean will be raised by one data point value.
D The mean will not change unless that data point was already in the data set.The mean will not change unless that data point was already in the data set.
Answers
GPT-4o mini
The correct response is:
B. The mean will increase.
When you add a very high data point to a symmetric dataset, it will raise the average (mean) of that dataset because the mean is sensitive to extreme values. In this case, the new high data point pulls the mean upwards.
B. The mean will increase.
When you add a very high data point to a symmetric dataset, it will raise the average (mean) of that dataset because the mean is sensitive to extreme values. In this case, the new high data point pulls the mean upwards.