ISEE Middle Level Math : Data Analysis and Probability

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

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Example Questions

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Example Question #1 : How To Use A Venn Diagram

Venn_4

 

Let set , 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:

Correct answer:

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.

 

 

 

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

, so 9,349 can be eliminated because it isn't a multiple of 9.

 and , so, as both a nonmultiple of 6 and a multiple of 9, 4.077 is the correct choice.

Example Question #1 : Data Analysis And Probability

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.

Example Question #1 : Range

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} 0

\dpi{100} 8

\dpi{100} 47

\dpi{100} 7

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

Example Question #2 : Data Analysis And Probability

Find the range in this set of numbers:

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

Possible Answers:

Correct answer:

Explanation:

First order the numbers from least to greatest:

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

 

Answer: The range is 5914.

Example Question #1 : Data Analysis And Probability

Find the range in this set of numbers:

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

Possible Answers:

Correct answer:

Explanation:

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

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

Answer: The range is 901.

Example Question #4 : Data Analysis And Probability

Find the range in this set of numbers:

640, 782, 411, 398, 299, 344

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest:

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

 

Answer: The range is 483.

Example Question #1 : Data Analysis And Probability

Find the range in this set of numbers:

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

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest:

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

Answer: The range is 791.

Example Question #1 : Data Analysis And Probability

Find the range in this set of numbers:

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

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest:

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

Answer: The range is 1100.

Example Question #7 : Data Analysis And Probability

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

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest:

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

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

Finally, subtract the range from the mode:

Answer: 330

Example Question #1 : Data Analysis And Probability

Find the range for this set of numbers:

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

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest:

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

Answer: The range is 330.

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