Question

On a team’s opening day, fans in a baseball stadium were asked how many home games they plan to attend this season. The histogram shows the results. How many fans plan on attending at least than 20 games?

A) 32
B) 25
C) 17
D) 8

Ms. Donahue uses 4 essays as the basis for her grading. Each essay counts as a percent of the final average.

Essay 1 10%
Essay 2 15%
Essay 3 25%
Essay 4 50%

Joel had the following scores for his work: Essay 1, 85; Essay 2, 90; Essay 3, 80; and, Essay 4, 100.
What is Joel's expected final average?
A) 86
B) 89
C) 90
D) 92

Answer 1

Assuming the question wants to know how many fans plan on coming to atleast 20 games,

You look at the histogram, sum up the number of fans greater than x=20, that is the last 4 bars.

These are
`15+12+4+1=32`

Hence, A is the correct answer.

For 2nd question, it is a weighted average, not a normal average. We need to multiply each score by the percentage it is worth and then divide by the total percentage. We have,

Expected final average (or weighted average) =
`((85*0.1)+(90*0.15)+(80*0.25)+(100*0.5))/(0.1+0.15+0.25+0.5) \\(92)/(1)\\ 92` percent

Hence, D is the correct answer.

ANSWER:

First Question: A

Second Question: D