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ISEE Upper Level Math : Mean

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Example Question #21 : How To Find Mean

Consider the data set

$\left \{ 24,61, 27, 57, 34, 37, 63, 50, N\right \}$ .

For what value of does this set have a mean of ?

Possible Answers:

N = 97

N = 87

N = 47

N = 77

N = 57

Correct answer:

N = 97

Explanation:

The mean of a nine-element data set is the sum of the data elements divided by ; therefore,

$\frac{ N+ 24 + 61 + 27+ 57+ 34+ 37+ 63+ 50 }{9} = m$

$\frac{ N+ 353}{9} = 50$

$\frac{ N+ 353}{9} \cdot 9 = 50\cdot 9$

N+ 353 = 450

N+ 353 -353 = 450-353

N = 97

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Example Question #21 : Mean

What is the mean of the following numbers?

47,33,12,71,57

Possible Answers:

Correct answer:

Explanation:

The mean is equal to the sum of the values divided by the total number of values ().

$mean=\frac{\sum_n}{n}=\frac{47+33+12+71+57}{5}=\frac{220}{5}=44$

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Example Question #71 : Data Analysis And Probability

David's course score in a chemistry course is the mean of five tests. He has scored 72, 81, 79, and . What must he score on the fifth test to be assured of a course score of ?

Possible Answers:

Correct answer:

Explanation:

Let be the minimum fifth test score. Then the average of the scores is

$\frac{N + 72 + 81 + 79 + 85 }{5} = 80$ .

$\frac{N + 317 }{5} = 80$

$\frac{N + 317 }{5} \cdot 5 = 80 \cdot 5$

N + 317 = 400

N + 317 -317 = 400-317

N = 83 , the minimum score David needs.

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Example Question #22 : Mean

What is the median of the following set?

$\sqrt{17}, 4, \frac{8}{5}, 5, 2$

Possible Answers:

$\frac{8}{5}$

$\sqrt{17}$

Correct answer:

Explanation:

The median is the middle number in a set when the numbers are ordered from smallest to largest. The first step is to rearrange the numbers from smallest to largest.

$\frac{8}{5}, 2, 4,\sqrt{17}, 5$

Given that there are 5 items in this set, the median will be the third number (which is the middle number. That number is 4, the correct answer.

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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 #23 : Mean

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 #27 : How To Find Mean

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 #81 : Data Analysis And Probability

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 #82 : Data Analysis And Probability

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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ISEE Upper Level Math : Mean

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

All ISEE Upper Level Math Resources

Example Questions

Example Question #21 : How To Find Mean

Example Question #21 : Mean

Example Question #71 : Data Analysis And Probability

Example Question #22 : Mean

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

Example Question #23 : Mean

Example Question #27 : How To Find Mean

Example Question #81 : Data Analysis And Probability

Example Question #82 : Data Analysis And Probability

Example Question #83 : Data Analysis And Probability

All ISEE Upper Level Math Resources

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