ACT Math : How to find arithmetic mean

Example Questions

Example Question #51 : How To Find Arithmetic Mean

What is the mean of the values of  for values of  between  and ?

Explanation:

For this, you need to calculate for each of your values:

The mean of these numbers is merely:

Example Question #52 : How To Find Arithmetic Mean

Henry is  taller than Barbara, who is  shorter than Lisa. If Lisa is  tall, what is the mean height of this group?

Explanation:

Based on our information, we know the following values for the individuals’ heights:

Lisa:  inches

Barbara:  inches

Henry:  inches

Thus, the mean height for this group is:

Example Question #51 : Arithmetic Mean

In a class of  students,  took an exam on Wednesday. Based on these  students, the average score was . If the last two students scored a  and a , what was the average score for the whole class?

Explanation:

To compute this, you need first to compute the total points earned by the first group of students. This would be:

Now, you need to add in the scores of the two new students:

To compute the new average, you need to divide this value by :

Example Question #51 : Arithmetic Mean

A basketball player in the 2015 NBA finals scored the following point totals over 6 games:

44, 39, 40, 20, 40, and 32. What was his mean points per game? (Round to the nearest tenth)

Explanation:

To find the mean, sum all the numbers and divide by the total amount of numbers.

Example Question #53 : How To Find Arithmetic Mean

The following is a list of test scores received by one student on her last 7 tests:
92, 91, 84, 72, 88, 95, 96. What is her average test score? Round your answer to the nearest tenth.

Explanation:

To find the average of a given data set, sum the totals and divide by the total number of numbers in your data set.

Example Question #56 : Statistics

A student runs a mile around the track and his coach takes record of each lap's time. His times were as follows in seconds:

.

Using this data, find the student's mean lap time.

Explanation:

To find the arithmetic mean, you simply add up all of the data and divide by the number of data points there are.

In this case there are 4 data points.

.

Example Question #52 : Arithmetic Mean

A group of 8 friends collect baseball cards. After years of collecting the students count how many cards they personally own. The quantity of each collection is listed as follows:

.

What is the mean value of baseball cards each friend owns?

Explanation:

To find the arithmetic mean, you simply add up all of the data and divide by the number of data points there are.

In this case there are 8 data points.

.

Example Question #58 : Statistics

For a fundraiser, six students attempt to collect as many canned goods as possible. After a week of collecting, student individually collected the following amounts of cans:

.

What is the mean value of cans collected per student?

Explanation:

To find the arithmetic mean, you simply add up all of the data and divide by the number of data points there are.

In this case there are 6 data points.

.

Example Question #71 : Data Analysis

The day of the month that seven students were born on is recorded below (note, the month they were born is irrelevant, only the day of the month matters):

what is the average day of the month the students were born on? Round your answer to the nearest tenth if necessary.

Explanation:

The arithmetic average is found by calculating the sum of the given data set, then dividing by the total number of numbers in the data set:

Example Question #51 : How To Find Arithmetic Mean

A sequence of five unknown numbers follows the following pattern:

If the average of this sequence is , what is ?

Explanation:

The average of a set of numbers involves adding up all of the numbers and dividing by the number of terms:

In this problem, since we do not know what the values are, we add the sequence in terms of .

Therefore, .