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ISEE Middle Level Math : Data Analysis and Probability

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #101 : Data Analysis

Use the following set to answer the question:

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

Find the range.

Possible Answers:

Correct answer:

Explanation:

To find the range, we will find the smallest and the largest number. Then, we wll find the difference of those two numbers. So, given the set

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

we can see the smallest number is 1 and the largest number is 9. Now, we will find the difference. We get

9-1=8

Therefore, the range of the data set is 8.

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Example Question #102 : Data Analysis

Use the following data set to answer the question:

3, 1, 8, 3, 6, 8,3, 9, 1, 3

Find the range.

Possible Answers:

Correct answer:

Explanation:

To find the range, we will find the smallest number and the largest number. Then, we will find the difference of the two numbers.

So, given the data set

3, 1, 8, 3, 6, 8,3, 9, 1, 3

we can see the smallest number is 1 and the largest number is 9. Now, we will find the difference. We get

9-1=8

Therefore, the range of the data set is 8.

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Example Question #103 : Data Analysis

Use the following data set to answer the question:

4, 3, 7, 5, 9, 6, 7, 2, 7, 2, 10, 7

Find the range.

Possible Answers:

Correct answer:

Explanation:

To find the range of a data set, we will find the smallest number and the largest number. Then, we will find the difference of those two numbers.

So, given the set

4, 3, 7, 5, 9, 6, 7, 2, 7, 2, 10, 7

we can see the smallest number is 2 and the largest number is 10. Now, we will find the difference. We get

10-2=8

Therefore, the range of this data set is 8.

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Example Question #104 : Data Analysis

Use the following data set to answer the question:

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

Find the range.

Possible Answers:

Correct answer:

Explanation:

To find the range of a data set, we will first find the smallest and the largest number within the set. Then, we will find the difference of those two numbers.

So, given the data set

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

we can see the smallest number is 2 and the largest number is 9. So, we will find the difference. We get

9-2=7

Therefore, the range of the data set is 7.

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Example Question #105 : Data Analysis

Use the following data set to answer the question:

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

Find the range.

Possible Answers:

Correct answer:

Explanation:

To find the range of a data set, we will first find the smallest and the largest number within the set. Then, we will find the difference of those two numbers.

So, given the set

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

We can see the smallest number is 4 and the largest number is 9. Now, we will find the difference. So,

9-4=5

Therefore, the range of the data set is 5.

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Example Question #106 : Data Analysis

Determine the range of the numbers provided: [10,-10,-30,-50,10]

Possible Answers:

110

Correct answer:

Explanation:

The range of a set of numbers is the difference between the highest and lowest numbers.

The largest number is:

The smallest number is:

Subtract the numbers.

10-(-50) = 60

The answer is:

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Example Question #101 : Range

Use the following data set to answer the question:

7, 5, 11, 8, 4, 14, 9, 4, 7, 11, 5, 7

Find the range.

Possible Answers:

Correct answer:

Explanation:

To find the range of a data set, we will find the smallest number and the largest number. Then, we will find the difference of those two numbers.

So, given the data set

7, 5, 11, 8, 4, 14, 9, 4, 7, 11, 5, 7

we can see the smallest number is 4 and the largest number is 14. Now, we will find the difference. We get

14-4=10

Therefore, the range of the data set is 10.

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Example Question #3 : How To Find The Answer From A Table

Below is the list of candidates for Student Council president, along with the number of votes each won:

$\begin{matrix} \textrm{\underline{Student}} &\textrm{\underline{Votes}} \\ \textrm{Kerry}\; \; \; & 95\\ \textrm{Quinn}\; \; \;& 73\\ \textrm{Fellows}\; &54 \\ \textrm{Bester}\; \; & 48\\ \textrm{Jarrow}\; & 29 \end{matrix}$

What percent of the students voted for Jarrow (nearest tenth)?

Possible Answers:

$12.4 \%$

$9.7 \%$

$16.1 \%$

$10.3 \%$

$10.7 \%$

Correct answer:

$9.7 \%$

Explanation:

95+73+54+48+29= 299 students total voted. Out of those, 29 voted for Jarrow. To convert this to a percent, use this proportion and solve for :

$\frac{p }{100}= \frac{29}{299}$

$\frac{p }{100} \cdot 100= \frac{29}{299}\cdot 100$

$p= \frac{2,900}{299} \approx 9.7 \%$

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Example Question #1 : How To Find The Answer From A Table

Consider the table. On which day of the week is the combined total of Ben and Jason's TV viewing the greatest?

Possible Answers:

Thursday

Saturday

Sunday

Friday

Correct answer:

Sunday

Explanation:

On Sundays, Ben and Jason watch a total of 5.9 hours of TV:

Total=4.7+1.2=5.9

They watch less TV on all other days: On Saturdays they watch 5.7 hours, on Fridays they watch 4.5 hours, and on Thursdays they watch 2.4 hours.

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Example Question #5 : How To Find The Answer From A Table

Below is the list of candidates for Student Council president, along with the number of votes each won:

$\begin{matrix} \textrm{\underline{Student}} &\textrm{\underline{Votes}} \\ \textrm{Phillips}\; & 105\\ \textrm{Young}\; \; \;& 83\\ \textrm{Harris}\; \; \; &64 \\ \textrm{McCain}\;& 45\\ \textrm{Zimmer}\; \; & 39 \end{matrix}$

What percent of the votes (nearest whole number) were won by the third-place finisher?

Possible Answers:

$19 \%$

$31 \%$

$13 \%$

$25\%$

$12 \%$

Correct answer:

$19 \%$

Explanation:

Third place was won by Harris, who won 64 out of 105+83+64+45+39 = 336 votes. To rewrite this as a percent, solve this proportion statement for :

$\frac{p }{100}= \frac{64}{336}$

$\frac{p }{100} \cdot 100 = \frac{64}{336} \cdot 100$

$p= \frac{6,400}{336} \approx 19 \%$

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ISEE Middle Level Math : Data Analysis and Probability

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #101 : Data Analysis

Example Question #102 : Data Analysis

Example Question #103 : Data Analysis

Example Question #104 : Data Analysis

Example Question #105 : Data Analysis

Example Question #106 : Data Analysis

Example Question #101 : Range

Example Question #3 : How To Find The Answer From A Table

Example Question #1 : How To Find The Answer From A Table

Example Question #5 : How To Find The Answer From A Table

All ISEE Middle Level Math Resources

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