SAT Math : Data Analysis
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Example Questions
Example Question #51 : Arithmetic Mean
A teacher tells the class that that mean on the test of six students was an 82. However the teacher only knows five of the students scores as follows:
What did the other student score on the test?
Let 
Cross multiplying and combining the known test scores gives:
Subtracting 410 from both sides gives:
Example Question #81 : Data Analysis
Determine the mean of the following data set.
Divide this number by three to find the mean.
The mean is:
Example Question #51 : Arithmetic Mean
Express the mean of 
The mean of two numbers is half their sum, so the mean of 
Example Question #81 : Data Analysis
Bill needs a test average of at least 82% percent in order to pass his class. He received 71% and 78% on his first two tests, respectively. What is the lowest score Bill can recieve on his third test to pass the class? Assume all tests are weighted equally.
The purpose of this question is to understand averaging percentages. Assuming all tests are weighted equally, all tests are 100 points and therefore the percentages will directly translate into their point values.
Adding the 71 points and the 78 points together of the first two tests, it is 149 points scored out of the possible 200.
With all three tests, there are a possible 300 points; and the necessary 82% of those 300 points is 246.
This means that a total of at least 246 points must be scored for Bill to pass the class. Since 149 have already been scored, it leaves 
Example Question #51 : Arithmetic Mean
The average of 
If you average consecutive integers, the average will be the middle number. That means that 
Example Question #51 : Arithmetic Mean
Find the mean of the following numbers:
The mean is the sum of all the numbers in the set over the total numbers in the set.
Add the numbers in the set.
Divide this number by three, since there are three numbers in this set.
The mean is 
Example Question #52 : Arithmetic Mean
Five boys took a biology test. Their scores were as follows:
75, 85, 95, x, 80
If the average of the boys' scores was 80, then what is the value of x?
The average of the test scores can be written as follows:
Simplifying this equation, we get
Therefore, the fourth boy's score was 65.
Example Question #53 : Arithmetic Mean
Five students take a test. Their scores are listed below:
If the average score for the students is 
We can express the average score in the class as
Then, we can solve for x.
Example Question #52 : Arithmetic Mean
Find the arithmetic mean of the following set of numbers:
1,5,14,17,22,23,23
To find the arithmetic mean, simply sum up the numbers and divide by the total. Essentially, you are finding the average.
Example Question #61 : How To Find Arithmetic Mean
What is the average of the numbers:
The mean of a set of numbers is the average of all the numbers in a given set.
Step 1: We will take the sum of all the numbers given. We will add each number together.
Step 2: To find the average of the numbers given in the question, we need to take the total sum of the numbers divided by how many numbers we have.
Sum=
Step 3: Simplify the fraction that we got in the second step:
The average of all numbers in the question is 16.
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