Question

Kyle received the following course grades for 10​ (three-credit) courses during his freshman​ year:

4 comma 4 comma 4 comma 3 comma 3 comma 3 comma 1 comma 1 comma 1 comma 14, 4, 4, 3, 3, 3, 1, 1, 1, 1.

​(a) Find his grade point average by adding the grades and dividing by 10.

​(b) Write down the relative frequency table.

​(c) Find the mean of the relative frequency distribution in part​ (b).

Answer 1

(a) The average grade point is 2.5.

(b) The relative frequency table is show below.

(c) The mean of the relative frequency distribution is 0.3333.

Explanation:

The given data set is

4, 4, 4, 3, 3, 3, 1, 1, 1, 1

(a)

The average grade point is

`Average=(\sum x)/(n)`

`Average=(4+4+4+3+3+3+1+1+1+1)/(10)`

`Average=2.5`

Therefore the average grade point is 2.5.

(b)

`\text{Relative frequency}=\frac{\text{Frequency of number}}{\text{Total frequency}}`

The relative frequency table is show below:

x f Relative frequency

4 3
`(3)/(10)=0.3`

3 3
`(3)/(10)=0.3`

1 4
`(4)/(10)=0.4`

(c)

Mean of the relative frequency distribution is

`Average=(0.3+0.3+0.4)/(3)`

`Average=0.3333`

Therefore the mean of the relative frequency distribution is 0.3333.