the table shows the probabilities of certain prizes in a restaurants contest where the first 100 customers…

the table shows the probabilities of certain prizes in a restaurants contest where the first 100 customers are winners.\ncontest prizes\n| prize | number prizes |\n| ---- | ---- |\n| $1 drink | 44 |\n| $5 meal | 25 |\n| $5 gift card | 15 |\n| $10 gift card | 10 |\n| $20 gift card | 5 |\n| $100 gift card | 1 |\nhow does the $100 gift card affect the measure of center of the data?\n○ it increases the mean value of the prizes.\n○ it decreases the mean value of the prizes.\n○ it increases the median value of the prizes.\n○ it decreases the median value of the prizes.

the table shows the probabilities of certain prizes in a restaurants contest where the first 100 customers are winners.\ncontest prizes\n| prize | number prizes |\n| ---- | ---- |\n| $1 drink | 44 |\n| $5 meal | 25 |\n| $5 gift card | 15 |\n| $10 gift card | 10 |\n| $20 gift card | 5 |\n| $100 gift card | 1 |\nhow does the $100 gift card affect the measure of center of the data?\n○ it increases the mean value of the prizes.\n○ it decreases the mean value of the prizes.\n○ it increases the median value of the prizes.\n○ it decreases the median value of the prizes.

Answer

Explanation:

Step1: Recall mean and median concepts

Mean is sum of values divided by number of values. Median is middle - value when data is ordered.

Step2: Analyze the effect on the mean

The $100 gift - card is a large value. When calculating the mean, this large value will increase the sum of all prize values while the number of prizes remains the same. So, it will increase the mean.

Step3: Analyze the effect on the median

There are 44 + 25+15 + 10+5 + 1=100 prizes. The median is the average of the 50th and 51st ordered values. The $100 gift - card is an outlier and does not affect the middle - most values when the data is ordered. So, it does not affect the median.

Answer:

It increases the mean value of the prizes.