Question

The PTA at a school want to sell chocolate bars to support the school PTA. They asked a random sample of 10 students how many chocolate bars they would be willing to buy at a price of $2 for each bar. Their responses are summarized in the following dot plot:

If there are a total of 250 students at the school and the sample is representative of the entire school's population of students, which of the following is the most reasonable estimate of the total number of chocolate bars the PTA can expect to sell to all the students of the school? A. 250
B. 500
C. 600
D. 750​

Answer 1

To estimate the total number of chocolate bars the PTA can expect to sell to all the students of the school, we use the average number of chocolate bars per student in the sample and multiply it by the total number of students in the school.

Step-by-step explanation:

To estimate the total number of chocolate bars the PTA can expect to sell to all the students of the school, we need to use the sample data to make a prediction. From the dot plot, we can see that most students are willing to buy 1 or 2 chocolate bars. Let's calculate the average number of chocolate bars per student in the sample:

Total number of chocolate bars bought = (1 x 2) + (2 x 3) + (3 x 2) + (4 x 1) + (5 x 1) = 2 + 6 + 6 + 4 + 5 = 23.

Now, we can estimate the total number of chocolate bars the PTA can expect to sell to all the students of the school:

Total number of chocolate bars to be sold = (23/10) x 250 = 575.

Answer 2

B

Step-by-step explanation:

the most answered was 2. 2x250=500