### All Basic Arithmetic Resources

## Example Questions

### Example Question #1 : Mean

For her calculus class, Marie has scored , , and on three of her tests so far. What is the minimum score Marie needs to receive on her 4th test in order to have an average of ?

**Possible Answers:**

**Correct answer:**

To find the average of a set of numbers, add up the individual values and divide by the total number of values you have.

For the test scores, we can set up the following equation with x being the score on the fourth test:

Now, solve for x

### Example Question #1 : Basic Statistics

Find the mean of the following set of numbers:

**Possible Answers:**

**Correct answer:**

To find the mean of a set of numbers, you must add them all and then divide their sum by the number of total members of the set.

and there are numbers in the set, so we divide by ,

giving us a mean of .

### Example Question #1 : Mean

Jimmy's dog had 6 puppies. He weighed the puppies right after they were born. Their weights were 657 grams, 789 grams, 456 grams, 554 grams, 635 grams, and 446 grams. In grams, what was the mean weight of the puppies?

**Possible Answers:**

**Correct answer:**

The mean of a set of numbers is the same as its average.

So then, to find the mean weight for the puppies,

### Example Question #1 : Basic Statistics

Danielle tracked how much she paid per meal for the past five meals. She paid . What was the average she paid per meal?

**Possible Answers:**

**Correct answer:**

To find the average (also known as the mean), we use the following formula:

So, for the numbers that are given in the question, we can set up this equation:

### Example Question #1 : Mean

Judy received these scores on her last four math tests:

, , ,

Her teacher calculates the final grade from the mean of five tests, which are all weighted equally. If Judy gets a on her fifth test, what will be her overall grade in the class?

**Possible Answers:**

**Correct answer:**

To find Judy's overall grade, you must find the mean of all five test scores.

Add together all five scores:

Then divide the sum by the total number of scores:

is Judy's overall score in the class.

### Example Question #1 : Mean

What is the mean of 44, 22, 134, and 200?

**Possible Answers:**

144

66

100

88

**Correct answer:**

100

To find the mean, you must add all of the numbers together and divide by the amount of numbers. In this case there are four numbers so, we must deivide the total sum by 4.

### Example Question #2 : Basic Statistics

Calculate the mean of the following numbers: 11, 13, 16, 13, 14, 19, 13, 13

**Possible Answers:**

**Correct answer:**

First, calculate the sum of all of the numbers.

Next, divide by the total number.

### Example Question #1 : Basic Statistics

The class average in a class of 15 is 86%. If one additional student earns a 100% in the class, what is the new class average.

**Possible Answers:**

There is not enough information to answer this question

None of the available answers

**Correct answer:**

We can treat this as if the entire class had exactly 86% as their average, so the new average is:

### Example Question #1 : Statistics And Probability

What is the mean of the following numbers?

88,99,31,47,68,27

**Possible Answers:**

**Correct answer:**

To find the mean you add all of the numbers together and divide it by the amount of numbers. In this case there are six numbers so

The answer is .

### Example Question #1 : Basic Statistics

The mean of the set is 20. What is the mean of the set ?

**Possible Answers:**

**Correct answer:**

To find mean, we add up the values in a set and divide by the number of terms in that set. We begin this problem with the knowledge that the mean of the first set is 20. Since that set contains five numbers, we know that its total sum must be 100 (since 100 divided by 5 is 20).

so must be 25.

Now, the only step left is to find the mean of .

These values add up to 125, and when we divide by 5, we are left with a final answer of 25.

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