2
QuizMultiple Choice

Expected Value

Question 2 • AZ-Common Core Algebra II B

The marketing club at school is opening a student store. They randomly survey 50 students about how much money they spend on lunch each day. What is the expected value for a student to spend on lunch each day? Student Lunch SurveyNumber of StudentsDollars Spent on Lunch Each Day2 $101$812$623$58$44$3

Answer
A
$2.59
B
$5.11
C
$5.18
D
$9.07

Explanation

Find the weighted average by multiplying each lunch amount by the number of students who spend it, then dividing by 50. The total is (2 × $10) + (1 × $8) + (12 × $6) + (23 × $5) + (8 × $4) + (4 × $3) = $259. Then $259 ÷ 50 = $5.18, so the expected daily lunch spending is $5.18 (choice C).

AI-written and checked against the verified answer.

Previous
Next