Question

Carlton is using the following data samples to make a claim about the house values in his neighborhood:

House Value
A $100,000
B $600,000
C $650,000
D $700,000
E $900,000

Based on the data, should Carlton use the mean or the median to make an inference about the house values in his neighborhood? He should use the median because there is an outlier that affects the mean.

He should use the mean because there are no outliers that affect the mean.

He should use the mean because it is in the center of the data.

He should use the median because it is in the center of the data.

Answer 1

[AI-generated answer — Bot GPT 3.5]

He should use the median because it is in the center of the data.

Answer 2

are you sure

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the error in my previous response. The correct answer is:

He should use the median because there is an outlier that affects the mean.

Answer 4

why that

Answer 5

[AI-generated answer — Bot GPT 3.5]

In this case, there is an outlier in the data samples - house E valued at $900,000. This outlier significantly affects the mean value, dragging it higher. Using the mean in this situation would not provide an accurate representation of the typical house value in the neighborhood as it would be skewed by the outlier. Therefore, it is more appropriate to use the median, which is not affected by outliers and provides a more robust measure of the central tendency in this scenario.