randy wants to buy shoes for prom. the prices of dress shoes at the local suit shop are shown…

randy wants to buy shoes for prom. the prices of dress shoes at the local suit shop are shown below.\n70,70,75,75,77,78,79,81,84,89,100,120\ncomplete the statements.\nthe measure of center that best describes the typical price of dress shoes is the \nthe measure of variation that best describes the spread of the data distribution is the

randy wants to buy shoes for prom. the prices of dress shoes at the local suit shop are shown below.\n70,70,75,75,77,78,79,81,84,89,100,120\ncomplete the statements.\nthe measure of center that best describes the typical price of dress shoes is the \nthe measure of variation that best describes the spread of the data distribution is the

Answer

Explanation:

Step1: Check for outliers

The data set is 70, 70, 75, 75, 77, 78, 79, 81, 84, 89, 100, 120. The values 100 and 120 are relatively large compared to the others, so there are outliers.

Step2: Select measure of center

When there are outliers, the median is a better measure of center than the mean as the mean is affected by extreme values. So the measure of center is the median.

Step3: Select measure of variation

When the median is used as the measure of center, the inter - quartile range (IQR) is a better measure of variation than the range or standard deviation. The IQR is not affected by outliers.

Answer:

The measure of center that best describes the typical price of dress shoes is the median. The measure of variation that best describes the spread of the data distribution is the inter - quartile range.