There are 528 students in Pablo’s high school. Pablo surveys 130 randomly chosen students about their favorite ice cream flavor. The results are as follows.
Ice cream flavor Number of students/Frequency
Strawberry 29
Butter Pecan 31
Chocolate 43
Orange Sherbet 10
Vanilla 17
Based on Pablo’s sample data, approximately how many students in the school prefer orange sherbet?
(1 point)
Based on Pablo's sample data, approximately 20 students in the school prefer orange sherbet.
To find out, we can use proportions.
Let x be the total number of students who prefer orange sherbet in the school.
We know that out of 130 surveyed students:
10/130 = x/528
Solving for x:
x = 528*(10/130)
x ≈ 40.6
Rounding to the nearest whole number, we get approximately 41 students who prefer orange sherbet in the school.
To find the approximate number of students in the school who prefer orange sherbet, we can use the concept of proportions.
First, let's calculate the proportion of students who prefer orange sherbet in the sample:
Proportion of students who prefer orange sherbet = Number of students who prefer orange sherbet / Total number of students in the sample
Proportion of students who prefer orange sherbet = 10 / 130
Proportion of students who prefer orange sherbet = 0.07692307692 (approximately)
Next, let's use this proportion to estimate the number of students in the school who prefer orange sherbet. We can do this by multiplying the proportion by the total number of students in the school:
Approximate number of students who prefer orange sherbet = Proportion of students who prefer orange sherbet * Total number of students in the school
Approximate number of students who prefer orange sherbet = 0.07692307692 * 528
Approximate number of students who prefer orange sherbet = 40.5 (approximately)
Therefore, approximately 40.5 students in the school prefer orange sherbet.