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ISEE Upper Level Math : ISEE Upper Level (grades 9-12) Mathematics Achievement

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

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All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #631 : Isee Upper Level (Grades 9 12) Mathematics Achievement

What is the mean of the set below?

$(2^{2}, 2^{3}, 2^{4}, 2^{5})$

Possible Answers:

Correct answer:

Explanation:

The first step to finding the mean is to convert the set to integers.

$(2^{2}, 2^{3}, 2^{4}, 2^{5})$

This simplifies to:

(4, 8, 16, 32)

The mean is determined by adding together the numbers in a set and then dividing by the total number of items in that set. This gives us:

$\frac{4+8+16+32}{4}=\frac{60}{4}=15$

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Example Question #631 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Find the mean of the following data set:

45,67,12,34,55,88,67,343,49

Possible Answers:

331

Correct answer:

Explanation:

Find the mean of the following data set:

45,67,12,34,55,88,67,343,49

To find the mean, we need to add up all our numbers, and then divide by the number of terms.

In this case, we have nine terms, so we will divide by nine.

$\mu=\frac{45+67+12+34+55+88+67+343+49}{9}=\frac{760}{9}\approx 84$

So, our answer is 84

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Example Question #75 : Data Analysis And Probability

Find the mean of the following data set:

5,76,12,34,55,89,76,109,67,33,9

Possible Answers:

104

Correct answer:

Explanation:

Find the mean of the following data set:

5,76,12,34,55,89,76,109,67,33,9

Let's begin by rearranging our terms from least to greatest:

5,9,12,33,34,55,67,76,76,89,109

Next, we will sum up our terms and divide by the total number of terms. We have 11 terms, so our numerator will be 11.

$\mu =\frac{5+9+12+33+34+55+67+76+76+89+109}{11}$

$\mu=\frac{565}{11}=51.36\approx51$

So, our answer is 51.

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Example Question #21 : How To Find Mean

Find the mean of the following data set:

34,56,76,12,33,43,98,99,77,93,33

Possible Answers:

Correct answer:

Explanation:

Find the mean of the following data set:

34,56,76,12,33,43,98,99,77,93,33

For this question, the mean is essentially the same as the average.

Find the mean by adding up all our terms and dividing by the total number of terms.

$\mu=\frac{\sum }{n}$

In this case n=11 because we have 11 terms in our data set.

The sum can be found by adding our terms together.

$\mu=\frac{34+56+76+12+33+43+98+99+77+93+33}{11}$

$\mu=\frac{654}{11}=59.\bar{45}\approx 59$

So our mean is 59

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Example Question #22 : How To Find Mean

Find the mean of the following data set:

17,43,44,50,59,67,78,78,81,94,99

Possible Answers:

Correct answer:

Explanation:

Find the mean of the following data set:

17,43,44,50,59,67,78,78,81,94,99

First, let's put our terms in ascending order.

17,43,44,50,59,67,78,78,81,94,99

Next, find the mean by adding up our terms and dividing by the total number of terms.

We have eleven terms, so our denominator will be eleven.

$\mu =\frac{17+43+44+50+59+67+78+78+81+94+99}{11}=\frac{710}{11}\approx65$

So our mean is 65

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Example Question #83 : Data Analysis And Probability

Use the following data set to answer the question:

4, 6, 8, 2, 3, 5, 2,7, 5,8

Find the mean.

Possible Answers:

Correct answer:

Explanation:

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

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

So, given the data set

4, 6, 8, 2, 3, 5, 2,7, 5,8

we will calculate the sum. To do that, we will add the numbers together. So,

$\text{sum of numbers in set} = 4+6+8+2+3+5+2+7+5+8$

$\text{sum of numbers in set} = 50$

Now, we will calculate the following:

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

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

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

$\text{mean} = \frac{50}{10}$

$\text{mean} = 5$

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Example Question #84 : Data Analysis And Probability

If the mean of consecutive even numbers is , what is the smallest number of these ?

Possible Answers:

Correct answer:

Explanation:

Recall that the mean is the same as the average.

Let be the smallest number in this set. Since these are consecutive even numbers, the other numbers can be represented as $x+2, x+4, x+6, \text{ and }x+8$ .

Now, find the average of these numbers, and solve for .

$\text{Mean}=\frac{x+x+2+x+4+x+6+x+8}{5}=58$

5x+20=290

5x=270

x=54

The smallest number is .

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Example Question #85 : Data Analysis And Probability

A Math class took an exam. These were their scores:

90, 81, 98, 85,83, 92, 95, 77,82

Find the mean score.

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 following set of Math test scores

90, 81, 98, 85,83, 92, 95, 77,82

we can calculate the following:

$\text{sum of numbers within set} = 90+81+98+85+83+92+95+77+82$

$\text{sum of numbers within set} = 783$

Now, we will calculate the following:

$\text{number of numbers within set} = 9$

because there are 9 numbers in the set.

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

$\text{mean} = \frac{783}{9}$

$\text{mean} = 87$

Therefore, the mean score of the Math exams is 87.

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Example Question #632 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Find the mean of the following data set:

44,65,12,33,99,12,55,44,65,12,79

Possible Answers:

62.5

Correct answer:

Explanation:

Find the mean of the following data set:

44,65,12,33,99,12,55,44,65,12,79

Find the mean by first summing up our terms, then dividing by the number of terms we have.

In this case, we have 11 terms, so our denominator is 11

$\frac{44+65+12+33+99+12+55+44+65+12+79}{11}=\frac{521}{11}\approx47$

So, our mean is 47

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Example Question #633 : Isee Upper Level (Grades 9 12) Mathematics Achievement

For his last six math tests, Josh scored 92, 80, 88, 94, 97, and 95. What is his mean test score?

Possible Answers:

95.5

Correct answer:

Explanation:

Recall that the mean is the same as the average.

To find the average, add up all the terms that are given and divide by the number of terms there are.

$\text{Mean}=\frac{\text{Sum of all terms}}{\text{Number of all terms}}$

$\text{Mean}=\frac{92+80+88+94+95+97}{6}=91$

His mean score is a .

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All ISEE Upper Level Math Resources

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ISEE Upper Level Math : ISEE Upper Level (grades 9-12) Mathematics Achievement

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

All ISEE Upper Level Math Resources

Example Questions

Example Question #631 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #631 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #75 : Data Analysis And Probability

Example Question #21 : How To Find Mean

Example Question #22 : How To Find Mean

Example Question #83 : Data Analysis And Probability

Example Question #84 : Data Analysis And Probability

Example Question #85 : Data Analysis And Probability

Example Question #632 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #633 : Isee Upper Level (Grades 9 12) Mathematics Achievement

All ISEE Upper Level Math Resources

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