Data Analysis and Statistics - SAT Subject Test in Math I

Card 0 of 20

Question

Tom recieved an 87%, 92%, 77%, and 90% on his 4 exams. Find the mean of these scores.

Answer

To find the mean of a certain set of numbers we need to add all enteries together and then divide by how many numbers you have.

In our case we do:

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Question

Karen wants to get an average of 92% at the end of the semester in her class. She has 1 test left to take before the semester is over to raise her average. If she recieved an 88%, 87%, 95%, and 93% on her tests what does she need to recieve on her last test to obtain the 92% average?

Answer

For this question we need to set up an equation to find the mean, set it equal to our desired mean of 92 and solve for our missing test value.

From here we perform algebraic procedures to simplify the equation

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Question

Clara recieved 10 apples on Monday, 9 apples on Tuesday, and 5 apples on Wednesday. What was the average number of apples she recieved?

Answer

To solve this problem we use the equation to find the mean. We add all entries and then divide by the number of entries we have. It is as follows:

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Question

On her past five tests, Julie scored . What was the mean of her scores?

Answer

The mean is the same as the average. To find the mean, use the following formula:

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Question

The following stem and leaf plot illustrates the number of baseball cards owned by a group of friends. What is the average number of baseball cards that each individual owns?

1

Answer

First, write out the individual values found within this stem and leaf plot to figure out how many values there are.

Now, finding the mean is the same as finding the average. Recall how to find the average:

Thus, the mean number of baseball cards owned is found by the following:

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Question

In order for Michael to get a "B" in his trigonometry class, he needs to have an average of on all his tests. He has one test remaining. His scores on his previous tests are . What score does Michael need on his last test to get a "B"?

Answer

Recall how to find the average of a set of numbers:

Now, let be the score Michael needs on his last test in order to have a test average of .

Now, solve for .

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Question

The average temperature for a city is given by the following graph.

2

What is the average temperature for the months of May-September?

Answer

First, figure out the temperatures.

May:

June:

July:

August:

September:

Now, recall how to find the mean of a set of numbers:

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Question

The mean of is . Find the value of .

Answer

Recall how to find the mean:

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Question

The mean of is . Find the value of the smallest number.

Answer

Recall how to find the mean:

Now, because the question asks you to find the smallest number, you need to find the value of .

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Question

The average of is . Find the value of the largest number.

Answer

Recall how to find the mean:

Now, because the question asks you to find the largest number, we need to find the value of .

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Question

In terms of , what is the mean of ?

Answer

Recall how to find the mean:

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Question

In terms of , what is the mean of ?

Answer

Recall how to find the mean:

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Question

The average of is . Find the sum of the largest and smallest numbers for this set of numbers.

Answer

Recall how to find the mean:

The smallest number in this set is , which is . The largest number is , which is .

The sum of these two numbers is then given by the following:

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Question

The average for a set of numbers is . After another number is added to the set, the average changes to . What number was added to the set?

Answer

Recall how to find the mean:

First, find the sum of all the values when there are just numbers in the set.

Next, find the sum of all the values when there are numbers in the set.

To find what number is added, take the difference between the sum of values and the sum of values.

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Question

In terms of , what is the average of ?

Answer

Recall how to find the mean:

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Question

Jack has an average of on four exams. If he has one more exam and he wants to bump his average up by points, what must he score to get that average he wants?

Answer

First, we need to find the total number of points for his fourth exam. That would be or . The reason we do this is because we can calculate his point total with the new average and determine his final score by taking the difference. So . We subtract and to get as our answer.

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Question

If Joe received a and on his first four exams, what would he need to get on the final exam in order to finish with an average of ?

Answer

The equation to find the average of his five grades would look like

.

You must solve for , so the first step is to multiple both sides by to get

.

Then you subtract all of the other grades from the total of to get a final answer of for the grade of the final exam.

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Question

What is the mean of: ?

Answer

Step 1: Find the sum of the values...

Step 2: Find how many numbers are given...

There are numbers.

Step 3: To find the mean, divide the sum by how many numbers....

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Question

Find the mean of:

Answer

Step 1: Find the sum of all the numbers...

Step 2: Count how many numbers there are...

There are elements.

Step 3: Divide the total sum by the number of elements...

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Question

Find the mean of the following set:

Answer

Another word for mean is average. To find the average of this set of numbers, add them up, then divide by the amount of numbers in the set. In this case there are 9 numbers in the set, meaning we will divide our answer by 9.

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