Question

Don is a barangay scholar in a college. To keep his scholarship, he needs to maintain a grade point average of 90 per semester. The following are his grades in the first semester: 85, 84, 90, 88, 89, 90, 92, 89, and 90. Will Don be able to reach the required grade for his scholarship?

Answer 1

• 2. Median = 89

,

• 3. Mode = 90

,

• 4. Mean = 89

Explanation:

Don's grades in the first semester are as follows:

`85,84,90,88,89,90,92,89,90`

Part 1

The grades arranged from the least to the greatest are:

`84,85,88,89,89,90,90,90,92`

Part 2

The middle grade in the set of Don's grade is 89.

Thus, the median grade = 89.

Part 3

The grade that occurs most frequently is 90.

Thus, the mode = 90.

Part 4

To find the mean grade, sum up the grades and divide by 9.

`\begin{gathered} Mean=(84+85+88+89+89+90+90+90+92)/(9)=(797)/(9)=88.56 \\ \approx89 \end{gathered}`

Part 5

A valid basis on whether Don maintained his scholarship is the mean. This is a result of the fact that he needs to maintain a grade point average of 90 per semester.

By definition, the word average implies the mean.