Question

The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population?

Sample size Average height (Inches)
10 63
20 54
30 57
40 59

A. 54
B. 63
C. 59
D. 57
​

Answer 1

To find the average height of the population, calculate the weighted average of the sample heights using their respective sample sizes.

option c is the correct

Step-by-step explanation:

To find the average height of the population, we need to consider the average heights of the four samples and their sample sizes. The average height is calculated by multiplying each sample's average height by its corresponding sample size, adding them all together, and then dividing by the sum of the sample sizes.

For the given data, the weighted average height is:

(10 * 63) + (20 * 54) + (30 * 57) + (40 * 59) / (10 + 20 + 30 + 40) = 5990 / 100 = 59.9 inches.

Therefore, the average height closest to the population average is 59 inches.