QUESTION IMAGE
Question
shows the distributions of prices for packs of adult of kid socks at a store. which measure of center is the best to use to compare the prices of kid socks and adult socks? standard deviation mean median
Brief Explanations
To determine the best measure of center for comparing kid and adult sock prices, we analyze the options:
- Standard deviation measures spread (variability), not center, so it’s incorrect.
- Mean is sensitive to skewness/outliers. From the histogram, adult socks have a price range (e.g., $14–$16) that may skew the mean, while kid socks do not.
- Median is resistant to skewness/outliers and better represents the “middle” of a distribution, especially when data is skewed (as adult sock prices appear to be, with a tail at higher prices).
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