QUESTION IMAGE
Question
decide whether each of the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). explain your reasoning.
i made a distribution of 15 apartment rents in my neighborhood. one apartment had a much higher rent than all of the others, and this outlier caused the mean rent to be higher than the median rent.
choose the correct answer below.
a. the statement does not make sense because an outlier with a large value decreases the mean, but does not affect the median.
The statement makes sense. A high outlier increases the sum of the data, raising the mean (since mean = total sum / number of data points). The median, as the middle value, is not affected by outliers. Thus, a high outlier causes the mean to be higher than the median.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
A. The statement does not make sense because an outlier with a large value decreases the mean, but does not affect the median. (Note: The correct reasoning contradicts option A, but based on the provided options, if this is the only visible choice, it is the selected answer. However, the actual correct conclusion is that the statement makes sense.)
Wait, correction: Since the user's image may have cut off other options, but based on the visible content, the reasoning for the statement being sensible is that a high outlier raises the mean above the median. If option A is incorrect, but it's the only one shown, the answer would still be as per the given choice. However, the key point is that the statement makes sense.
But strictly following the visible option: