Data Properties - Algebra II

First we need to find the values of the function: f(2) = 3 * 2 + 2 = 8, f(3) = 11, f(4) = 14, f(5) = 17, and f(6) = 20. Then we can take the average of the five numbers:

average = (8 + 11 + 14 + 17 + 20) / 5 = 14

The mean is the average. The mean can be found by taking the sum of all the numbers (150 + 88 + 141 + 110 + 79 = 568) and then dividing the sum by how many numbers there are (5).

Our answer is 113 3/5, which can be written as a decimal.

Therefore 113 3/5 is equivalent to 113.6, which is our answer.

The outcomes from rolling a die are {1,2,3,4,5,6}.

The mean is (1+2+3+4+5+6)/6 = 3.5.

Rolling the die six million times simply suggests that each number will appear approximately one million times. Since each number is rolled with equal probability, it doesn't matter how many times you perform the experiment; the answer will always remain the same.

To find the fifth score, we need to set the average of all of the scores equal to 90.

Multiply both sides of the equation by 5.

Subtract 352 from both sides of equation.

Let .

We know the mean is 8, and there are five values in the set, including the unknown .

Simplify.

Plug back into equation at top.

Since we are given the mean, we need to find the sum of the numbers. From there we can figure out . We know

We can use this to find the sum by plugging in

So our sum is 96.

So we know that our total sum minus the sum of the given numbers is equal to .

So, .

where n equals the number of events.

To answer this question, you must first calculate John's total points from the four exams. The total points will be equal to four times the original average:

Now, if the 89 is removed, his new total will be:

With the score dropped, his new total number of exams is 3. Therefore, the new average is:

Round this up to 95.67.

To solve this, first calculate the total number of points that Isidore has earned. To find this total, multiply his original average by the original number of exams:

Then, to this you must add his new scores to get the new total:

After taking the two new exams, he has 7 total exams. Therefore, his average is:

This rounds to an 88.57.

To calculate the mean, you will need to figure out each person's height. Start with what we know.

Patrick is 67 inches tall: .

Mike is three inches shorter than Patrick: .

Sally is five inches taller than Mike: .

Find the sum of their heights:

Their average height is therefore:

To answer this, you need to know the total inches of all the plants. You must multiply the number of each type by its respective height:

Then, add these together:

Now, the total number of plants is:

The mean (or average) of this group is:

Round this to the nearest hundreth to get 67.14 inches.

This question is really just asking for the average dollar per page. This could be easily calculated:

However, you might also think of this as a rate problem:

Using the information from the question, we can see that and .

This comes out to what we solved above:

To calculate this, you need to figure out the total number of inches in the classroom. This is calculated by multiplying each group by its average number of inches. For the girls, there will be 30 after they double. Their total number of inches can be found by multiplying the average height by 30:

The boys' total height can be found by multiplying their average by 30 as well:

There are now 60 students total, so the average number of inches is the combined height of the boys and girls divided by 60:

The averge height in the class is 45.25 inches.

To solve this, you should first calculate the size of the candles. Based on the description, the group would be:

The sum of this group is:

The average is then found by dividing this total by 5:

The easiest way to think of this problem is to make a list of the accounts (though not all 100, of course).

The largest account will be:

.

So, our list looks like this:

1000, 1100, 1200, . . ., 9700, 9800, 9900

Now we need to identify a pattern. We can pair the first and the last element:

Now, notice what happens when we pair the second and the second from the last element:

This pattern is going to work for the whole list! If there are 100 total accounts, that means that we can make 50 such pairs. That means that we have 50 pairs of $10900. The total account amount is therefore:

The mean will be equal to this total value divided by the number of accounts (100):

The mean is the average of a set of data. In order to calculate this value, we need to take the sum of all the numbers and divide that by the number of values we have:

This gives us:

which finally gives us a mean of:

To find the average, add up all of the scores, then divide by how many scores there were:

.

Set equal to the sum of the tests of the first students.

Now set up an equation to solve for Sarah's test score:

In order to determine whether Sally will qualify for the last time trial, set up an equation to find the mean. Out of the five scores, one of the scores is unknown, and Sally's final score must be or higher. Let the unknown score be .

Write the equation to solve for the mean.

Unfortunately, Sally cannot make the gymnastics team because she needs to earn a 10.8, which is not possible on the score limit.

The correct answer is:

To get the total combined score of everyone in the class, multiply the average of the class by the number of students.

. Since the teacher decided to drop the lowest 2 scores, let's subtract those 2 scores from the total.

.

Now the new total is 697. To find the new average, divide this new total by the new number of grades to be averaged in, which is 8. Remember that the teacher dropped 2 grades so there are less grades to take into account.