Question

without performing any calculations, determine which measure of central tendency best represents the graphed data. explain your reasoning. choose the correct answer below. a. the mean is the best measure because there are outliers and the data is skewed. b. the mean is the best measure because the data are approximately symmetric. c. the mode is the best measure because the data are at the nominal level of measurement. d. the median is the best measure because the data are skewed.

Explanation:

The mean is affected by outliers. When data is skewed, outliers can pull the mean in their direction. The median is a better measure for skewed - data as it represents the middle value and is not influenced by extreme values. In the case of nominal - level data, the mode is appropriate. Since the data appears to be skewed (from the shape of the histogram), the median is the best measure.

Answer:

D. The median is the best measure because the data are skewed.