Question

Carl earned grades of 62, 78, 59, and 89 on four math tests.
What is the mean of his grades?
A. 68.5
B. 70
C. 72
D. 74
E. 75.5

Answer 1

Answer:

Mean, m = 72

Step-by-step explanation:

It is given that, Carl earned grades of 62, 78, 59, and 89 on four math tests.

It is required to find the mean of his grades.

Mean of a data is given by :

$m=\dfrac{\text{sum of observations}}{\text{total no of observations}}$

Sum of observations is 62 + 78 + 59 + 89 = 288

Total no of observations are 4

So, mean of his grades is :

$m=\dfrac{288}{4}\\\\m=72$

So, the mean of his grades is 72.

Answer 2

Option C is correct. If Carl earned grades of 62, 78, 59, and 89 on four math tests, the mean of his grades is 72

Mean is the average of the given data. It is expressed mathematically as:

$\overlibe x=\frac{\sum x}{N}$

$\sum x$ is the sum of the variables

N is the total test taken

$\sum x = 62 + 78 + 59 + 89\\\sum x = 288\\\\N = 4$

Substitute the resulting values into the mean formula:

$\overline x = \frac{288}{4}\\ \overline x =72$

This shows that the mean of his grades is 72

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