High School

The bar chart shows the weights of 10 dogs entered in a local dog show.

Which statement is true about this data set?

A. The range is 94 lb.
B. The mean is 35.5 lb.
C. The median is 45.1 lb.
D. The mode is 14 lb.

Answer :

The only statement that is true about the data set is that the mean is 35.5 lb.

The mean is calculated by taking the sum of all the values and dividing it by the number of values. The sum of the weights of the 10 dogs in this case is 355 lb, hence the mean weight is 355 lb / 10 dogs = 35.5 lb.

The range is the difference between the data set's largest and lowest values. The range in this situation is 94 lb - 14 lb = 80 lb since the biggest number is 94 lb and the smallest value is 14 lb.

When data is sorted in ascending or descending order, the median is the midway value. Because the data is already sorted in ascending order in this situation, the median is the fifth value, which is 45.1 lb.

The mode represents the most common value in the data set. There is no single value that appears more frequently than any other value in this example, hence the mode is undefined.

As a result, the only statement about the data set that is accurate is that the mean is 35.5 lb.