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ISEE Middle Level Math : Data Analysis

Study concepts, example questions & explanations for ISEE Middle Level Math

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All ISEE Middle Level Math Resources

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Example Questions

Example Question #351 : Data Analysis

Find the mean of the following data set:

10,45,65,23,76,87,23,45,12,23,67

Possible Answers:

Correct answer:

Explanation:

Find the mean of the following data set:

10,45,65,23,76,87,23,45,12,23,67

Begin by finding the sum of our terms.

10+45+65+23+76+87+23+45+12+23+67=476

Next, because we have 11 terms, we need to divide the sum by 11

$mean=\frac{476}{11}=43.\bar{27}\approx43$

So our mean is 43

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Example Question #352 : Data Analysis

Use the following data set to answer the question.

5, 8, 12, 7, 5, 4, 6, 5, 11

Find the mean of the data set.

Possible Answers:

Correct answer:

Explanation:

To find the mean of a data set, we will use the following formula:

$\text{mean} = \frac{\text{sum of the numbers in the set}}{\text{number of numbers in the set}}$

So, given the data set

5, 8, 12, 7, 5, 4, 6, 5, 11

we can find the sum of the numbers in the set. To find the sum, we will add all the numbers together.

$\text{sum of the numbers in the set} = 5+8+12+7+5+4+6+5+11$

$\text{sum of the numbers in the set} = 63$

Now, we will find the number of numbers within the set. To do this, we will just count and see how many numbers are in the set.

$\text{number of numbers in the set} = 9$

Now, we can substitute what we know into the formula. We get

$\text{mean} = \frac{63}{9}$

$\text{mean} = 7$

Therefore, the mean of the data set is .

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Example Question #351 : Data Analysis

Use the following data set to answer the question.

3, 2, 6, 4, 2, 8, 8, 2, 1

Find the mean of the data set.

Possible Answers:

Correct answer:

Explanation:

To find the mean of a data set, we will use the following formula:

$\text{mean} = \frac{\text{sum of the numbers in the set}}{\text{number of numbers in the set}}$

So, given the data set

3, 2, 6, 4, 2, 8, 8, 2, 1

we can find the sum of the numbers in the set. To find the sum, we will add all the numbers together.

$\text{sum of the numbers in the set} = 3+2+6+4+2+8+8+2+1$

$\text{sum of the numbers in the set} = 36$

Now, we will find the number of numbers within the set. To do this, we will just count and see how many numbers are in the set.

$\text{number of numbers in the set} = 9$

Now, we can substitute what we know into the formula. We get

$\text{mean} = \frac{36}{9}$

$\text{mean} = 4$

Therefore, the mean of the data set is .

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Example Question #101 : Mean

Find the mean of the following data set.

45,12,345,76,12,112,45,96,54,32,12

Possible Answers:

333

Correct answer:

Explanation:

Find the mean of the following data set.

45,12,345,76,12,112,45,96,54,32,12

To find the mean, we must find the average.

To do so, find the sum of our terms, and divide by the number of terms.

45+12+345+76+12+112+45+96+54+32+12=841

Now, we have eleven terms, so...

$\frac{841}{11}\approx76.4\approx76$

So, we can say that our mean is 76

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Example Question #103 : How To Find Mean

Use the following data set to answer the question:

6, 8, 4, 7, 9, 8, 5, 6, 8, 9

Find the mean.

Possible Answers:

Correct answer:

Explanation:

To find the mean, or the average, we will use the following formula:

$\text{mean} = \frac{\text{sum of numbers within the set}}{\text{number of numbers within the set}}$

So, given the set

6, 8, 4, 7, 9, 8, 5, 6, 8, 9

we will first find the sum. To find the sum, we will add all of the numbers. So,

$\text{sum of the numbers within the set} = 6+8+4+7+9+8+5+6+8+9$

$\text{sum of the numbers within the set} = 70$

Now, we will determine the number of numbers within the set. In other words, we will count and see how many numbers are within the set. So,

$\text{number of numbers within the set} = 10$

Now, we will substitute this into the formula. We get

$\text{mean} = \frac{70}{10}$

We can cancel the zero in and the zero in . We get

$\text{mean} = \frac{7}{1}$

$\text{mean} = 7$

Therefore, the mean of the data set is .

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Example Question #662 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Use the following data set to answer the question:

7, 4, 4, 5, 9, 4, 6, 7, 4, 10

Find the mean.

Possible Answers:

Correct answer:

Explanation:

To find the mean (or average) of the data set, we will use the following formula:

$\text{mean} = \frac{\text{sum of the numbers in the set}}{\text{number of numbers in the set}}$

Now, given the set

7, 4, 4, 5, 9, 4, 6, 7, 4, 10

we will first find the sum. To find the sum, we will add all of the numbers together. So,

$\text{sum of the numbers in the set} = 7+4+4+5+9+4+6+7+4+10$

$\text{sum of the numbers in the set} = 60$

Now, we will find the number of numbers in the set. To do this, we will simply count and see how many numbers are in the set. We get

$\text{number of numbers in the set} = 10$

Now, we can substitute what we know into the formula. We get

$\text{mean} = \frac{60}{10}$

$\text{mean} = \frac{6}{1}$

$\text{mean} = 6$

Therefore, the mean of the data set is .

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Example Question #102 : Mean

Use the following data set to answer the question:

4, 6, 7, 6, 7, 2, 4, 8, 9, 7

Find the mean.

Possible Answers:

Correct answer:

Explanation:

To find the mean of a data set, we will use the following formula:

$\text{mean} = \frac{\text{sum of the numbers in the set}}{\text{number of numbers in the set}}$

So, given the set

4, 6, 7, 6, 7, 2, 4, 8, 9, 7

we can calculate the following.

$\text{sum of the numbers in the set} = 4+6+7+6+7+2+4+8+9+7$

$\text{sum of the numbers in the set} = 60$

We can also calculate the following.

$\text{number of numbers in the set} = 10$

because if we count and see how many numbers are in the set, we count 10 numbers.

Now, knowing this, we can substitute into the formula. We get

$\text{mean} = \frac{60}{10}$

$\text{mean} = \frac{6}{1}$

$\text{mean} = 6$

Therefore, the mean of the data set is 6.

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Example Question #357 : Data Analysis And Probability

Use the following data set to answer the question

6, 4, 7, 4, 2, 7, 9, 1, 5, 2, 8

Find the mean.

Possible Answers:

Correct answer:

Explanation:

To find the mean of a data set, we will use the following formula:

$\text{mean} = \frac{\text{sum of numbers within set}}{\text{number of numbers within set}}$

Now, given the set

6, 4, 7, 4, 2, 7, 9, 1, 5, 2, 8

we can calculate the following:

$\text{sum of numbers within set} = 6+4+7+4+2+7+9+1+5+2+8$

$\text{sum of numbers within set} = 55$

Now, we can calculate the following:

$\text{number of numbers within set} = 11$

because if we count the numbers within the set, we can see there are 11 numbers.

Knowing this, we can substitute into the formula. We get

$\text{mean} = \frac{55}{11}$

$\text{mean} = 5$

Therefore, the mean of the data set is 5.

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Example Question #103 : Mean

Use the following data set to answer the question:

5, 3, 2, 5, 6, 7, 8, 6, 8, 7, 9

Find the mean.

Possible Answers:

Correct answer:

Explanation:

To find the mean of the data set, we will use the following formula:

$\text{mean} = \frac{\text{sum of numbers within set}}{\text{number of numbers within set}}$

So, given the data set

5, 3, 2, 5, 6, 7, 8, 6, 8, 7, 9

we can calculate the following:

$\text{sum of numbers within set} = 5+3+2+5+6+7+8+6+8+7+9$

$\text{sum of numbers within set} = 66$

Now, we can calculate the following:

$\text{number of numbers within set} = 11$

because if we count the numbers in the set, we can see there are 11 numbers.

Now, knowing this, we can substitute into the formula. We get

$\text{mean} = \frac{66}{11}$

$\text{mean} = 6$

Therefore, the mean of the data set is 6.

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Example Question #359 : Data Analysis And Probability

A Math class took an exam. Here are the scores of 11 students:

98, 87, 77, 89, 80, 95, 89, 87, 90, 78, 87

Find the mean score.

Possible Answers:

Correct answer:

Explanation:

To find the mean, we will use the following formula:

$\text{mean} = \frac{\text{sum of numbers within set}}{\text{number of numbers within set}}$

Now, given the set

98, 87, 77, 89, 80, 95, 89, 87, 90, 78, 87

We can calculate the following:

$\text{sum of numbers within set} = 98+87+77+89+80+95+89+87+90+78+87$

$\text{sum of numbers within set} = 957$

Now, we can calculate the following:

$\text{number of numbers within set} = 11$

Because there are 11 numbers in the set.

Knowing this, we can substitute into the formula. We get

$\text{mean} = \frac{957}{11}$

$\text{mean} = 87$

Therefore, the mean of the data set is 87.

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ISEE Middle Level Math : Data Analysis

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #351 : Data Analysis

Example Question #352 : Data Analysis

Example Question #351 : Data Analysis

Example Question #101 : Mean

Example Question #103 : How To Find Mean

Example Question #662 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #102 : Mean

Example Question #357 : Data Analysis And Probability

Example Question #103 : Mean

Example Question #359 : Data Analysis And Probability

All ISEE Middle Level Math Resources

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