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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

Example Question #3 : How To Use A Venn Diagram

Venn_4

Let set $U = \mathbb{N}$ , the set of all natural numbers.

= { | is a multiple of 6 }

= { | is a multiple of 9 }

Which of the following numbers would appear in the gray region of the Venn diagram?

Possible Answers:

8,544

9,349

4,077

4,572

3,438

Correct answer:

4,077

Explanation:

The gray area represents the portion of that is not in - in other words, all multiples of 9 that are not also multiples of 6.

$4,572 \div 6 = 762$

$3,438 \div 6 = 573$

$8,544 \div 6 =1,424$

Therefore, 4,572, 3,438, and 8,544 can be eliminated.

$9,349 \div 9 = 1,038 \;R\; 7$ , so 9,349 can be eliminated because it isn't a multiple of 9.

$4,077 \div 6 = 679 \; R \; 3$ and $4,077 \div 9 = 453$ , so, as both a nonmultiple of 6 and a multiple of 9, 4.077 is the correct choice.

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Example Question #2 : Venn Diagrams

If two events are independent of one another, there will be no intersection of their circles on a Venn Diagram.

Possible Answers:

True

False

Correct answer:

True

Explanation:

If the two events in a problem are independent, they cannot occur at the same time. That means their circle will not intersect and they will not have a shared middle section.

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Example Question #1 : Data Analysis And Probability

On the last day of school,Adam asked each of his classmates how many days of school they missed for the entire school year. He created a stem-and-leaf plot with the information.

0 | 0 0 2 4 5 6 8

1 | 0 0 1 2

2 | 3

4 | 7

What is the range of the number of days missed by Adam's classmates?

Possible Answers:

$\dpi{100} 7$

$\dpi{100} 47$

$\dpi{100} 0$

$\dpi{100} 8$

Correct answer:

$\dpi{100} 47$

Explanation:

To find the range of a set of data, simply subtract the smallest total from the largest total. The left side of a stem-and-leaf plot represents the ten's digit, and the right side represents the one's digit. The largest value here is 47. The smallest value is 0.

$\dpi{100} 47-0=47$

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Example Question #1 : Data Analysis

Find the range in this set of numbers:

4520, 7325, 8732, 8321, 9031, 3117, 6960

Possible Answers:

6000

5914

7325

6858

Correct answer:

5914

Explanation:

First order the numbers from least to greatest:

3117, 4520, 6960, 7325, 8321, 8732, 9031

Then find the difference of the greatest and the smallest number:

9031-3117=5914

Answer: The range is 5914.

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Example Question #2 : Data Analysis

Find the range in this set of numbers:

6059, 6609, 6906, 6509, 6905, 6960, 6950

Possible Answers:

6906

6905

6699

901

991

Correct answer:

901

Explanation:

First, order the numbers in the set from least to greatest:

6059, 6509, 6609, 6905, 6906, 6950, 6960

Then, find the difference between the largest and the smallest number:

6960-6059=901

Answer: The range is 901.

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Example Question #3 : Data Analysis

Find the range in this set of numbers:

640, 782, 411, 398, 299, 344

Possible Answers:

479

483

398

411

Correct answer:

483

Explanation:

First, order the numbers from least to greatest:

299, 344, 398, 411, 640, 782

Then, find the difference between the largest and smallest number:

782-299=483

Answer: The range is 483.

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Example Question #4 : Data Analysis

Find the range in this set of numbers:

9881, 9889, 9818, 9981, 9891, 9918, 9989, 9889, 9198

Possible Answers:

800

790

791

Correct answer:

791

Explanation:

First, order the numbers from least to greatest:

9198, 9818, 9881, 9889, 9889, 9891, 9918, 9981, 9989

Then, find the difference of the largest and smallest number:

9989-9198=791

Answer: The range is 791.

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Example Question #5 : Data Analysis

Find the range in this set of numbers:

3343, 4434, 4334, 3343, 4343, 3434, 3334

Possible Answers:

1100

1110

1090

1000

Correct answer:

1100

Explanation:

First, order the numbers from least to greatest:

3334, 3343, 3343, 3434, 4334, 4343, 4434

Then, find the difference between the largest and the smallest number:

4434-3334=1100

Answer: The range is 1100.

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Example Question #3 : Data Analysis And Probability

Subtract the range from the mode in this set of numbers:

6366,6336, 6366,6633,6333,6363,6669

Possible Answers:

6006

6300

6030

6303

Correct answer:

6030

Explanation:

First, order the numbers from least to greatest:

6333,6336,6363,6366,6366,6633,6669

Then, identify the mode (most recurring number): 6366

Then, identify the range (subtract the smallest number from the largest):

6669-6333=336

Finally, subtract the range from the mode:

6366-336=6030

Answer: 330

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Example Question #6 : Data Analysis

Find the range for this set of numbers:

6363, 6336, 6366, 6633, 6333, 6363, 6663

Possible Answers:

300

303

333

330

Correct answer:

330

Explanation:

First, order the numbers from least to greatest:

6333, 6336,6363,6363, 6366, 6633, 6663

Then, find the difference of the largest and the smallest numbers:

6663-6333=330

Answer: The range is 330.

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All ISEE Middle Level Math Resources

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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 #3 : How To Use A Venn Diagram

Example Question #2 : Venn Diagrams

Example Question #1 : Data Analysis And Probability

Example Question #1 : Data Analysis

Example Question #2 : Data Analysis

Example Question #3 : Data Analysis

Example Question #4 : Data Analysis

Example Question #5 : Data Analysis

Example Question #3 : Data Analysis And Probability

Example Question #6 : Data Analysis

All ISEE Middle Level Math Resources

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