ISEE Lower Level Quantitative : Data Analysis and Probability

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #101 : Data Analysis And Probability

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In the above Venn diagram category  represents the number of Kevin's friends that play the flute, while category  represents the number of Kevin's friends that play the bass. 

If  of Kevin's friends only play the flute and  of his friends only play the bass, then what fraction of Kevin's friends play both instruments?

Possible Answers:

Correct answer:

Explanation:

To find the fraction of Kevin's friends that play both the bass and the flute, consider that the fraction  represents all of Kevin's friends in this senario.

Thus, the solution can be found by adding those that only play flute with those that only play bass and subtracting that final answer from the fraqction that represents all of Kevin's friends:

Example Question #3 : How To Use A Venn Diagram

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In the above Venn diagram category  represents the number of Kevin's friends that play the flute, while category  represents the number of Kevin's friends that play the bass. 

If  of Kevin's friends only play the flute and  of his friends only play the bass, then what percentage of Kevin's friends only only play the bass? 

Possible Answers:

 

 

 

 

Correct answer:

 

Explanation:

 of Kevin's friends only play the bass.

Thus, to find the fractional equivalent we need to multiply the fraction by 100.

The solution becomes:


Example Question #51 : Data Analysis

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The Venn diagram above represents the results from a recent survey given to middle school students. Category  represents the amount of students that only like pizza. Category  represents the amount of students that only chicken nuggets.   

What percentage of students only like pizza? 

Possible Answers:

 

 

 

 

Correct answer:

 

Explanation:

Since Category  represents the amount of students that only like pizza--and shows an amount of  percent in the Venn diagram, no calculations need to be performed. 

Our answer is .

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