Administrators surveyed students enrolled in a new school in order to choose the school mascot. there are 480 students enrolled in the school. what is the proportion needed to calculate the average number of students that chose the lion for the mascot? mascot survey sample 1 sample 2 ducks 12 ducks 8 grizzlies 24 grizzlies 30 lions 20 lions 22 silverbacks 16 silverbacks 12 mc014-1.jpg mc014-2.jpg mc014-3.jpg mc014-4.jpg

Table given:

Mascot Survey

Sample 1          Sample 2

Ducks 12          Ducks 8

Grizzlies 24      Grizzlies 30

Lions 20            Lions 22

Silverbacks 16  Silverbacks 12

x /480 = 42 / 144

Explanation:

1) A proportion is the set of two ratios equivalence, like a/b = c/d

2) One ratio is the average x / 480

3) The other ratio is the number of students that chose the lion mascot over the universe of people surveyed:

sample 1 = 72
sample 2 = 72

total = 144

lions choice in sample 1 = 20
lions choice in sample = 22

total lions = 42

ratio = 42 / 144

4) the proportion is:

x / 480 = 42 / 144