Use the following to answer the question(s) below.
A consumer magazine evaluated the price and performance of 23 models of cordless phones. Computer output gives this summary for the prices ($):

-Based on the summary statistics, which of the following is true?
A) The distribution is symmetric.
B) The distribution is skewed to the right.
C) The distribution is skewed to the left.
D) The mean is a better measure of centre for these data than the median.
E) The standard deviation is larger than the range.

Question

Use the following to answer the question(s) below.
A consumer magazine evaluated the price and performance of 23 models of cordless phones. Computer output gives this summary for the prices ($):
 
-Based on the summary statistics, which of the following is true?
A) The distribution is symmetric. 
B) The distribution is skewed to the right. 
C) The distribution is skewed to the left. 
D) The mean is a better measure of centre for these data than the median. 
E) The standard deviation is larger than the range.

Quizplus · Accepted Answer

The median is closer to the lower quartile, indicating that the distribution is skewed to the right. Therefore, the mean may not be an accurate measure of center as it will be pulled to the right by the skewness. The standard deviation cannot be compared to the range because they are measured in different units.

Use the Following to Answer the Question(s) Below