Question

The means of the grade point averages of four samples taken from a population of students are shown in the table below. Which of these is most likely closest to the mean grade point average of the population? Sample Size Sample Mean 10 3.51 20 3.42 30 3.39 40 3.34 A. 3.51 B. 3.39 C. 3.34 D. 3.42

Answer 1

Answer:

Option: D is the correct answer.

             The value that is closest  to the mean grade point average of the population is:

            D. 3.42

Step-by-step explanation:

The means of the grade point averages of four samples taken from a population of students are given by:

Sample Size      Sample Mean

      10                     3.51

      20                     3.42

      30                     3.39

      40                     3.34

The mean grade point average is the ratio of the sum of the final grade points of each sample divided by the total number of sample.

Hence, we get:

     $Mean=\dfrac{3.51+3.42+3.39+3.34}{4}\\\\\\Mean=\dfrac{13.66}{4}\\\\\\Mean=3.415$

which is approximately equal to 3.42

Hence, the answer is:  3.42

   

Answer 2

The answer is Letter D - 3.42

Size - Mean
10 - 3.51
20 - 3.42
30 - 3.39
40 - 3.34

To solve for the mean, add up all the given values then divide it by how many numbers there are. In this case, we will add the mean of the samples then divide the result by the number of the given samples. 

   = (3.51 + 3.42 + 3.39 + 3.34) / 4
   = 13.66 / 4
   = 3.415 or 3.42