SAT Math : SAT Mathematics
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Example Questions
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.
Example Question #61 : Arithmetic Mean
Five athletes throw a javelin. The distances of their throws are shown here, measured in yards:
If the average of all of their throws is 
First, we need to find the value of 
Now we can solve for our unknown.
Know that we know the value of our unknown, we can figure out the last two distances.
The fourth distance in the list is 
The fifth distance is 
To find the median of the group, let's write the distances in order from least to greatest and find the number that sits in the middle.
The median of our group is 
Example Question #62 : Statistics
A set of four consecutive odd numbers has an average of 56. What is the smallest number in this set?
You will want to define the smallest number as x and the other numbers as x+2, x+4, x+6.
Then enter those values in to the equation needed to find the mean.
53 is the smallest number in the set.
Example Question #61 : How To Find Arithmetic Mean
44, 37, __, 73, 52, 43
If the arithmetic mean of the set above is 50, find the missing number in the set.
Example Question #3011 : Sat Mathematics
What is the average number of apples a student has?
To calculate the average number of apples a student has, the following formula is used.
First, calculate the total number of apples there are. To do this multiply the number of apples by the number of students that have that many apples.
This number divided by the total number of students.
Example Question #3012 : Sat Mathematics
The histogram depicts the number of errors students missed on last week's homework assignment. Estimate the mean number of errors made.
To estimate the mean number of errors made, first calculate the mean of each bar in the histogram.
Recall to calculate a mean of a histogram bar use the formula:
The red bar's mean:
The yellow bar's mean:
The green bar's mean:
The teal bar's mean:
The blue bar's mean:
The purple bar's mean:
Now to estimate the mean of the number of errors, add the means of the bars together and divide by the total number of frequencies.
Example Question #3013 : Sat Mathematics
Calculate the mean from the above dot plot.
To calculate the mean, we need to sum up every individual entry and divide it by the total number of entries. This looks like 
Here is the calculation of the mean,
Example Question #3014 : Sat Mathematics
The bar chart shows the number of consecutive heads for a fair coin. How many more 4 Heads were there compared to 3 Heads?
To figure this out, we need to go to the y-axis and find the number of 4 heads and 3 Heads there were. 
Example Question #63 : Arithmetic Mean
Find the average rate of change between 3 Heads and 5 Heads
The average rate of change is calculated by the following.
So we simply do the following,
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