Question

1. tia helps run her schools concession stand during football games. over the course of the season, she tracks how many hamburgers and hot - dogs are sold at each game and records the data in the table below. based on the data, which statement is true? a. the mean number of hamburgers sold is less than the mean number of hotdogs sold. b. the mean number of hamburgers sold is greater than the mean number of hotdogs sold. c. the median number of hamburgers sold is less than the median number of hotdogs sold. d. the median number of hamburgers sold is greater than the median number of hotdogs sold.

Explanation:

Step1: Calculate mean of hamburgers

Mean = $\frac{9 + 25+25+13+23+30}{6}=\frac{125}{6}\approx20.83$

Step2: Arrange hamburgers data in ascending order

$9,13,23,25,25,30$. Median is $\frac{23 + 25}{2}=24$

Step3: Calculate mean of hot - dogs

Mean = $\frac{8+28+29+18+22+20}{6}=\frac{125}{6}\approx20.83$

Step4: Arrange hot - dogs data in ascending order

$8,18,20,22,28,29$. Median is $\frac{20 + 22}{2}=21$

Step5: Compare mean and median

Median of hamburgers ($24$) is greater than mean of hot - dogs ($20.83$)

Answer:

A. The mean number of hamburgers sold is less than the mean number of hotdogs sold. (False)
B. The mean number of hamburgers sold is greater than the mean number of hotdogs sold. (False)
C. The median number of hamburgers sold is less than the median number of hotdogs sold. (False)
D. The median number of hamburgers sold is greater than the median number of hotdogs sold. (True)
So the answer is D.