Question

Alyssa and James are running for 7th grade class president. Four students each polled 25 different students to predict the winner of the election. The poll results are shown in the table.

Election Poll Results

Poll
Number of Students Planning

to Vote for Alyssa

Number of Students Planning

to Vote for James

1 16 9
2 12 13
3 14 11
4 15 10
A total of 200 students will vote in the election. What is the range in the number of votes for Alyssa predicted by these four polls?

A.
43
−
57

B.
120
−
160

C.
96
−
128

D.
72
−
104

Answer 1

Each poll of 25 scales to the 200-voter election by a factor of 200/25 = 8. So predicted votes for Alyssa are:
Poll1: 16×8 = 128
Poll2: 12×8 = 96
Poll3: 14×8 = 112
Poll4: 15×8 = 120
Minimum = 96, maximum = 128, so the range is 96−128. Answer: C.