Basic Mathematics for College Students

628 Chapter 7 Summary and Review

Multiply the number of credits for each course by the point value of the

grade received. Add the results (as shown in blue) to get the total

number of grade points. To find the total number of credits, add as

shown in red.

To find the GPA, we divide.

Do the division.

The student’s semester GPA is 2.5.

2.5

The total number of grade points

 The total number of credits



GPA

30

12

Course Grade Credits Weighted grade points

Algebra A 5

History C 3

Art D  4

Totals 12 30

1  4 → 4

2  3 → 6

4  5 → 20

To find the medianof a set of values:

1. Arrange the values in increasing order.


2. If there is an odd number of values, the
   median is the middle value.


3. If there is an even number of values, the
   median is the mean (average) of the
   middle two values.

To find the median of

68359810785

arrange them in increasing order:

Smallest Largest

3556 88910 There are 10 values.

Middle two values

Since there are an even number of values, the median is the mean

(average) of the two middle values:

Thus, 7.5 is the median.

7  8

2



15

2

7.5

(^7)  8
The modeof a set of values is the single value
that occurs most often.
To find the mode of
68359810785
we find the value that occurs most often.
6 8 3598 10 7 8 5
3 times
Since 8 occurs the most times, it is the mode.
  
Course Grade Credits
Algebra A 5
History C 3
Art D 4
When a value in a set appears more than once,
that value has a greater “influence” on the
mean than another value that only occurs a
single time. To simplify the process of finding
the mean, any value that appears more than
once can be “weighted” by multiplying it by the
number of times it occurs.
To find the weighted meanof a set of values:

1. Multiply each value by the number of
   times it occurs.


2. Find the sum of the products from step 1.


3. Divide the sum from step 2 by the total
   number of individual values.

A student’s grade point average (GPA)can be

found using a weighted mean.

Some schools assign a certain number ofcredit

hoursto a course while others assign a certain

number ofunits.

GPAs Find the semester grade point average for a student that

received the following grades. (The point values are A = 4, B = 3, C = 2,

D = 1, and F = 0.)