Answer:
To express the difference in the measures of center as a multiple of the measure of variation, we can use the coefficient of variation (CV), which is a measure of relative variability. The CV is calculated by dividing the standard deviation by the mean and expressing the result as a percentage.
However, in this case, we are not given the standard deviation or the mean of the data. Instead, we are given the median and the interquartile range (IQR) for each team. The IQR is a measure of the spread of the middle 50% of the data and is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).
To find the measure of variation, we can use the IQR for each team. The IQR for Team A is 2, and the IQR for Team B is also 2.
To find the difference in the measures of center, we can subtract the median of Team A from the median of Team B:
7 - 3 = 4
Therefore, the difference in the measures of center is 4.
To express this difference as a multiple of the measure of variation, we can divide the difference by the IQR for either team. Let's use the IQR for Team A:
4 / 2 = 2
Therefore, the difference in the measures of center is 2 times the measure of variation (IQR) for Team A.