Question

pizza pdq hosted two pizza parties last friday. the number of slices of pizza eaten by partygoers is displayed on the dot plots below. based on this data, which of the following generalizations can be made? pizza party 1 pizza party 2 1 2 3 4 5 6 7 slices of pizza eaten 1 2 3 4 5 6 7 slices of pizza eaten a. each data set has a mean of 3. each data set has a median of 3. b. the medians and means of both data sets are close to or equal to 3. c. each data set has a mean of 3. the medians are not equal. d. the medians and means of both data sets are not close in value.

Explanation:

Step1: Calculate mean for Pizza Party 1

For Pizza Party 1, number of data - points: $3 + 5+5 + 4+2 + 1+1=21$.
Sum of data - points: $(1\times3)+(2\times5)+(3\times5)+(4\times4)+(5\times2)+(6\times1)+(7\times1)=3 + 10+15 + 16+10 + 6+7 = 67$.
Mean$=\frac{67}{21}\approx3.19$.
Median: Arrange data in ascending order. There are 21 data - points. The 11th value is 3, so median is 3.

Step2: Calculate mean for Pizza Party 2

For Pizza Party 2, number of data - points: $4+5 + 4+5+1+1+1 = 21$.
Sum of data - points: $(1\times4)+(2\times5)+(3\times4)+(4\times5)+(5\times1)+(6\times1)+(7\times1)=4 + 10+12 + 20+5 + 6+7 = 64$.
Mean$=\frac{64}{21}\approx3.05$.
Median: Arrange data in ascending order. There are 21 data - points. The 11th value is 3, so median is 3.

Answer:

B. The medians and means of both data sets are close to or equal to 3.