The table shows the probabilities of certain prizes in a restaurant's contest where the first 100 customers are winners.
how does the $100 gift card affect the measure of center of the data?
a) it increases the mean value of the prizes
b) it decreases the mean value of the prizes
c) it increases the median value of the prizes
d) it decreases the median value of the prizes

  A)  it increases the mean value of the prizes

Step-by-step explanation:

Adding a number to a data set that is higher than the mean of that data set will increase the mean. Since all of the other prizes have a value less then $100, their mean value is less than $100. Adding the $100 prize will increase the mean value of prizes.

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If you go to the trouble to see if any of the "median" answers work, you find that the median prize value is a $5 meal. There is a sufficiently large number of those that adding one more prize that is not a $5 meal will not change the median.