Kendall asked 40 randomly-selected seniors at his high school about their plans for after they graduated. Twenty-nine students said they planned to go to college. If there are 380 seniors at Kendall’s high school, estimate the number who plan to go to college.
A. 245
B. 275
C. 310
D. 330
To estimate the number of seniors who plan to go to college, we can use the proportion of seniors in the sample who said they planned to go to college.
Proportion of seniors in sample who plan to go to college = 29/40 = 0.725
We can use this proportion to estimate the number of seniors who plan to go to college in the whole school:
Number of seniors who plan to go to college = Proportion of seniors who plan to go to college x Total number of seniors
Number of seniors who plan to go to college = 0.725 x 380 ≈ 275
Therefore, the best estimate for the number of seniors who plan to go to college is option B, 275.
To estimate the number of seniors who plan to go to college, we can create a proportion based on the data provided.
The proportion can be expressed as:
(number of seniors who plan to go to college) / (total number of seniors) = (number of seniors who answered they plan to go to college) / (total number of students asked)
Let's plug in the given values:
(number of seniors who plan to go to college) / 380 = 29 / 40
Now, we can solve for the unknown value:
(number of seniors who plan to go to college) = (29 / 40) * 380
(number of seniors who plan to go to college) ≈ 27.50 * 380
(number of seniors who plan to go to college) ≈ 10450
We can round this estimate to the nearest whole number:
(number of seniors who plan to go to college) ≈ 10450 ≈ 275
Therefore, the estimated number of seniors who plan to go to college is 275.
The answer is B. 275.