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FCI (Dollars) Fre The Fan Cost Index (FCI) is a measure of how much it costs a f

ID: 3292477 • Letter: F

Question

FCI (Dollars) Fre The Fan Cost Index (FCI) is a measure of how much it costs a family of four to attend a major league baseball game much it costs a 100-149.99 150-199.99 200-249.99 250-299.99 300-349.99 350-399.99 400-449.99 The frequency distribution and the histogram for the Fan Cost Index are given to the right 100 200 300 400 500 Fan Cost Index (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 median is a better measure of center for this distribution The midpoint of the interval that contains the median is S Round to the nearest integer as needed.) B. The mean is a better measure of center for this distribution The value of the mean is $ d to the nearest integer as needed

Explanation / Answer

It is seen that the distribution s not symmetrical. t is positively skewed. Also, we dutliers also on RHS side. In such a situation, only median gives the actual central tendency than mean.

To find the medianal class:

write down the cumulative frequencies:

Mid point      Cumulative frequency

125                       6

175                      17

225                      26

275                  27

325                     28

375                   28

425                   30

Medianal class is the class where cumulative frequency = 30/2 = 15 occurs.It is seen to be in the second class, whose mid point is 175.

So, correct option is:

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

The midpoint of the interval that contains the median is: 175.