Question

1. a sample of musicians was asked to estimate the number of hours spent attempting to master a complicated orchestra piece. the data gathered from this sample is displayed in the graph below. given what you observe in this graph, along with your understanding of the mean and median, which one of the following answer options gives you the most valid mean and median for this distribution? please note that we are not expecting you to calculate anything in order to answer this question! a. mean = 45.5 hours, median = 45.5 hours b. mean = 44.2 hours, median = 40 hours c. mean = 46 hours, median = 48 hours d. mean = 46.3 hours, median = 41.5 hours e. mean = 42.4 hours, median = 45.5 hours

Explanation:

The distribution is right - skewed. In a right - skewed distribution, the mean is pulled towards the tail and is greater than the median. By observing the histogram, the median is likely to be in the lower - middle range of the higher frequency bars and the mean is larger. Option D has a mean greater than the median which is consistent with a right - skewed distribution.

Answer:

D. mean = 46.3 hours, median = 41.5 hours