Algebra II : Data Properties
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Example Questions
Example Question #36 : Mean
Find the mean.
To find the mean, add the fractions and divide by the number of numbers in the set.
The least common denominator is 12 because each fraction denominator can be converted to this value. Reconvert the fractions.
Add the fractions.
Divide this by three. This is the same as multiplying by one-third.
The answer is:
Example Question #151 : Basic Statistics
The Johnson family is taking a trip to California. They drove 45 miles an hour when they started their trip, 70 miles an hour for the next hour of their trip and 45 miles an hour for the last hour of their trip. What is the Johnson family's average speed for the entire trip?
None of the above
This question is asking to find the mean of the speed travelled by the Johnson family. To do this you need to add the speeds and divide them by the number of legs in the trip.
So:
Example Question #132 : Data Properties
Find the mean of the dataset:
Add all the numbers and divide by the number of numbers in the dataset. There are four numbers in this dataset.
Simplify the numerator.
The answer is 
Example Question #133 : Data Properties
Billy has four exams. Each exam has a maximum of 100 points. He scored a 65 and a 60 on his first two exams. What is the minimum score he will need on his next two exams to have a final average of 80?
Billy cannot achieve the score
Set up the equation that will show the mean of Billy's four exams. The left side of the equation must equal to 80 for his final average.
Solve for 
Subtract 125 on both sides.
Divide by 2 on both sides.
Billy will need a minimum of 
Example Question #131 : Data Properties
If a student earned 98, 89, 92, 75, and 90 on five tests, what score does she need to earn to garner an 87 in the class?
Recall that finding the average requires you to add up the terms and then divide by the number of terms. Since we are trying to find the score of the sixth test, we have to remember that there are 6 terms. Therefore, our equation looks like this: 
Example Question #132 : Data Properties
Find the mean of the following data set:
Find the mean of the following data set:
To find the mean, we simply need to sum our terms and divide by the number of terms. Our total number of terms is 11:
So our mean is 325
Example Question #42 : Mean
Find the mean of this data set:
Find the mean of this data set:
To begin, let's put our numbers in increasing order:
Next, find the sum of our terms, and divide that by the number of terms.
So our answer is 244
Example Question #137 : Data Properties
Find the mean of the following data set:
Find the mean of the following data set:
Let's begin by putting our data in increasing order:
The mean of our data set will be the same as the average. Find the sum of the terms, then divide by the number of terms (15 in this case)
So our answer is 123.
Example Question #161 : Basic Statistics
Sandra has 5 book cases. The four of the cases have 15, 17, 12, and 15 books respectively. How many books does the fifth case have in it if the mean and median number of books in each case is the same.
The median must be 15. 15 is the middle number weather the 5th number if less than 12 or more than 15. If the median is 15 the mean must also be 15.
Once we know that we use the equation of the mean to solve the problem.
Now solve for x
Multiply by 5 on both sides
Subtract 59 on both sides
Example Question #133 : Data Properties
The points per game of 10 basketball players as as follows: 12, 8, 10, 30, 14, 2, 6, 11, 10, 0. What is the mean of the total points among the ten players? (Round to the nearest whole number).
To find the mean of these numbers you must add them all up and divide by the total number of players.
You get:
which rounds to 
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