Question

Jimmy did a survey to answer the following question: What is the average writing score of grade 6 students? The mean writing score was 3.8 points. If all the students scored the same, what would be the writing score of each student?

Answer 1

3.8 points is the answer, because mean is the average. And if all values were equal, the mean or average would be the value.

Answer 2

The writing score of each student is 3.8 points.

Explanation:

We have been given that the mean writing score was 3.8 points. All the students scored the same. We are asked to find the writing score of each student.

We know that average of a data set is sum of all data points divided by number of data points.

Since each student scored same score, then the average of all students will be score of each student.

`\text{Average}=\frac{\text{Sum of scores}}{\text{Number of students}}`

Let us say that score of each student is x. As each student scored same, so:

`3.8=(x+x+x+x+x)/(5)`

`3.8=(5x)/(5)`

`3.8=x`

Therefore, the writing score of each student is 3.8 points.