Question

the scores on a test for a sample of 38 statistics students are summarized in the following table.

number of students	score
16	80
14	70

find the mean score. round your answer to at least one decimal place.

Explanation:

Step1: Calculate the sum of the products

Multiply the number of students by their scores and sum them up.
$(8\times90)+(16\times80)+(14\times70)=720 + 1280+980=2980$

Step2: Calculate the total number of students

Sum up the number of students in each group.
$8 + 16+14=38$

Step3: Calculate the mean

Divide the sum of the products by the total number of students.
$\frac{2980}{38}\approx78.4$

Answer:

$78.4$