Question

question 9 2 pts a sample of college students was surveyed and asked about the amount of money they spend each week on coffee. in this particular sample, most students spend a lot on coffee per week, but a small number of students spend little on coffee. two measures of center were computed for this sample: $19.82 and $21.65. one of these measures is the mean and one is the median. which measure must be the median? the median is $21.65 because the distribution is skewed to the left. the median is $21.65 because the distribution is skewed to the right. there is not enough information given in this problem to determine which measure is the median. the median is $19.82 because the distribution is skewed to the left. the median is $19.82 because the distribution is skewed to the right.

Explanation:

When a distribution is skewed to the left, the mean is less than the median. When a distribution is skewed to the right, the mean is greater than the median. In this case, most students spend a lot (so the tail is on the left side with a few small - spending students). A left - skewed distribution has the property that the mean is less than the median. Since \(19.82<21.65\), if the distribution is skewed to the left, the median is the larger value.

Answer:

The median is \(\$21.65\) because the distribution is skewed to the left.