ACT Math : Data Analysis
Study concepts, example questions & explanations for ACT Math
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Example Questions
Example Question #47 : Arithmetic Mean
Find the arithmetic mean of this set of data:
{0, 0, 0, 0, 1, 5}
3
0
1
5
4
1
The sum of all the terms is 6. The number of terms in the set is 6. 6/6 = 1
Example Question #41 : Statistics
Greg got an average of 93 on his test scores this semester. He got a 92, 93, and 97 on the first three tests. If he received the same score on each of his last three tests, what was his score on each of these tests?
92.33
92
94
90.5
89
92
We can set up an equation (92 + 93 + 97 + 3x)/6 = 93. Solving for x yields 92.
Example Question #49 : Arithmetic Mean
Tom needs an average test score of 75 to pass his math class. The class gives five equally-weighted tests, and his first four scores were 57, 63, 90, and 72. What score does he need to receive on his final test to pass his class?
The formula for the average of Tom's scores is
He needs an average of 75, so his average is represented by the following formula where "
Multiply the five across:
Subtracting:
Example Question #41 : Statistics
If the average (arithmetic mean) of 
There is not enough information to determine the answer.
If we can find the sum of 
Write out the average formula for the original three quantities. Remember, adding together and dividing by the number of quantities gives the average:
Isolate 
Write out the average formula for the new three quantities:
Combine the integers in the numerator:
Replace 
Example Question #61 : Data Analysis
What is the mean of the values of 
For this, you need to calculate for each of your values:
The mean of these numbers is merely:
Example Question #52 : Statistics
Henry is 
Based on our information, we know the following values for the individuals’ heights:
Lisa: 
Barbara: 
Henry: 
Thus, the mean height for this group is:
Example Question #53 : Statistics
In a class of 
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 : How To Find 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)
To find the mean, sum all the numbers and divide by the total amount of numbers.
Example Question #52 : 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.
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 #53 : How To Find Arithmetic Mean
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.
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.
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