Question

The Fan Cost Index​ (FCI) is a measure of how much it costs a family of four to attend a major league baseball game. The frequency distribution and the histogram for the Fan Cost Index are given to the right.

FCI​ (Dollars) Frequency ​100-149.99 44 ​150-199.99 1313 ​200-249.99 99 ​250-299.99 11 ​300-349.99 11 ​350-399.99 00 ​400-449.99 22

10020030040050002468101214Fan Cost IndexFrequency A bar graph has a horizontal axis labeled Fan Cost Index from 50 to 500 in increments of 50 and a vertical axis labeled Frequency from 0 to 14 in increments of 2. There are vertical bars each with width 50 and all over the horizontal axis. The cost and frequency follow, with the cost first: 100-150, 4; 150-200, 13; 200-250, 9, 250-300, 1; 300-350, 1; 350-400, 0; and 400-450, 2.

​(a) Determine the shape of the distribution.

A.

Right Skewed Right Skewed

B.

Normal

C.

Left Skewed Left Skewed

D.

Uniform

​(b) Determine if the mean or the median would be a better measure of center for this distrubution. If the mean is​ better, calculate the value. If the median is​better, give the midpoint of the interval that contains it.

Select the correct choice below and fill in the answer box to complete your choice.

A.

The mean is a better measure of center for this distribution.

The value of the mean is

​$ -------------.

​(Round to the nearest integer as​ needed.)

B.

The median is a better measure of center for this distribution.

The midpoint of the interval that contains the median is

​$ ---------.

​(Round to the nearest integer as​ needed.)

Answer 1