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ISEE Upper Level Math : Data Analysis and Probability

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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 #1 : Mode

Consider the data set $\left \{ 2, 4, 4, 4, 6, 6, 6, 7, 8, 10, N, N\right \}$ . For the data set to have exactly two modes, what are all of the possible choices of ?

Possible Answers:

$N \notin \left \{ 4,6\right \}$

$N \notin \left \{ 2,6,7,8,10\right \}$

$N \notin \left \{ 2,4,6,7,8,10\right \}$

$N \in \left \{ 2,4,6,7,8,10\right \}$

$N \in \left \{ 4,6\right \}$

Correct answer:

$N \notin \left \{ 2,4,6,7,8,10\right \}$

Explanation:

If $N \in \left \{ 4,6\right \}$ , then the value of will occur in the set five times, more than any other element. This will give the set one mode.

If $N \in \left \{ 2,7,8,10\right \}$ , then there will be three elements - 4,6,N - that occur three times, more than any other element. This will give the set three modes.

If is any other number, then there will be two elements - 4, 6 - that occur twice, more than any other number. This will give the set two modes.

Therefore, $N \notin \left \{ 2,4,6,7,8,10\right \}$ , and any other value of gives the set one mode.

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Example Question #101 : Data Analysis And Probability

What is the mode of the following set of numbers?

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

Possible Answers:

Correct answer:

Explanation:

To determine the mode, you need to identify which number appears most frequently in the set of numbers.

In this set of numbers, the number 2 shows up three times, and no other number occurs three or more times. Thus, it is the only mode.

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Example Question #102 : Data Analysis And Probability

What is the mode value in the set below?

$2^{2}, \frac{1}{4}, 3^{1},\sqrt{9}, \frac{8}{2}, \frac{6}{2}$

Possible Answers:

Correct answer:

Explanation:

The first step is to convert the expressions in the set $2^{2}, \frac{1}{4}, 3^{1},\sqrt{9}, \frac{8}{2}, \frac{6}{2}$ to their simplified forms. This gives us:

$4, \frac{1}{4}, 3, 3, 4, 3$

While the value of 4 appears twice, given that the value 3 appears 3 times, it is the mode in this set.

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Example Question #103 : Data Analysis And Probability

Find the mode of the following data set:

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

Possible Answers:

331

Correct answer:

Explanation:

Find the mode of the following data set:

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

Begin by putting your numbers in increasing order:

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

We can identify the mode simply by finding the most common term.

In this data set, we have two 67's. There are no other duplicate numbers, so we have our answer: 67

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Example Question #104 : Data Analysis And Probability

Find the mode of the following data set:

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

Possible Answers:

104

Correct answer:

Explanation:

Find the mode 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

Now, the mode will be our most common term.

In this case, it is 76, because there are two 76's.

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Example Question #105 : Data Analysis And Probability

Find the mode of the following data set:

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

Possible Answers:

Correct answer:

Explanation:

Find the mode of the following data set:

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

First, let's put our terms in increasing order:

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

Now, our mode will just be our most common term. In this case it is 33.

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Example Question #106 : Data Analysis And Probability

Find the mode of the following data set:

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

Possible Answers:

Correct answer:

Explanation:

Find the mode 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, identify the mode by choosing the most common term.

In this case, we have 2 78's. Therefore, our mode is 78.

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Example Question #107 : Data Analysis

Use the following data set to answer the question:

5, 4, 7, 5, 3, 2, 5, 7, 5, 9

Find the mode.

Possible Answers:

Correct answer:

Explanation:

To find the mode of a data set, we will find the number that occurs most often.

So, given the data set

5, 4, 7, 5, 3, 2, 5, 7, 5, 9

we can see the number 5 occurs most often (it occurs 4 times.)

Therefore, the mode of the data set is 5.

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Example Question #108 : Data Analysis

Use the following data set to answer the question:

4, 3, 8, 9, 7, 8, 2, 8, 1, 8, 2, 3, 10

Find the mode.

Possible Answers:

Correct answer:

Explanation:

To find the mode of a data set, we will find the number that occurs most often.

So, given the data set

4, 3, 8, 9, 7, 8, 2, 8, 1, 8, 2, 3, 10

we can see the number that occurs most often is 8 (it occurs 4 times).

Therefore, the mode of the data set is 8.

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Example Question #107 : Data Analysis And Probability

Find the mode of the following data set:

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

Possible Answers:

Correct answer:

Explanation:

Find the mode of the following data set:

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

To find the mode, first put the numbers in increasing order

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

Next, find the mode by simply choosing the most common number.

In this case, 12 appears three times, so it is our most common term.

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All ISEE Upper Level Math Resources

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ISEE Upper Level Math : Data Analysis and Probability

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

All ISEE Upper Level Math Resources

Example Questions

Example Question #1 : Mode

Example Question #101 : Data Analysis And Probability

Example Question #102 : Data Analysis And Probability

Example Question #103 : Data Analysis And Probability

Example Question #104 : Data Analysis And Probability

Example Question #105 : Data Analysis And Probability

Example Question #106 : Data Analysis And Probability

Example Question #107 : Data Analysis

Example Question #108 : Data Analysis

Example Question #107 : Data Analysis And Probability

All ISEE Upper Level Math Resources

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