Algebra II : Median

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #321 : Algebra Ii

If we want the median to be , what number can be put into the set to make this true?

Possible Answers:

Correct answer:

Explanation:

The set is already in increasing order. We have five numbers in the set, however, we need to add another number to ensure the set will have a median of . This will make the set have six numbers. When there is an even number in the set, we need to take the two middle numbers by adding them then dividing by two. Let's say this number is . Let's setup an equation.

.

The numerator represents the two middle numbers being added and divided by the denominator. If we multiply both sides by  and subtract  on both sides,  is . Make sure this answer doesn't violate the set.  is less than  but greater than , so therefore  is the correct answer.

Example Question #51 : Data Analysis And Statistics

Find the median of the set:

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an even amount of numbers in the set meaning there are two "middle numbers". But for this set, both of those middle numbers are 89, meaning we don't need to take an average. 

 

This gives us the final answer of 89 for the median.

Example Question #52 : Data Analysis And Statistics

Find the median of the set:

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an even amount of numbers in the set meaning there are two "middle numbers"- 23 and 25. In order to find the median we take the average of 23 and 25:

Example Question #53 : Data Analysis And Statistics

Find the median of the set:

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an even amount of numbers in the set meaning there are two "middle numbers"- 22 and 23. In order to find the median we take the average of 22 and 23:

Example Question #54 : Data Analysis And Statistics

Find the median of the set:

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an even amount of numbers in the set meaning there are two "middle numbers"- 11 and 12. In order to find the median we take the average of 11 and 12:

Example Question #55 : Data Analysis And Statistics

Find the median of the set:

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an even amount of numbers in the set meaning there are two "middle numbers"- 8 and 13. In order to find the median we take the average of 8 and 13:

Example Question #56 : Data Analysis And Statistics

Find the median of the set:

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an even amount of numbers in the set meaning there are two "middle numbers"- 24 and 26. In order to find the median we take the average of 24 and 26:

Example Question #57 : Data Analysis And Statistics

Find the median of the set:

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an odd amount of numbers so we just count from each side until we find the number in the middle.

This gives us a final answer of 37 for the median.

Example Question #21 : Median

Find the median of the set:

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an odd amount of numbers so we just count from each side until we find the number in the middle.

 

This gives us a final answer of 33 for the median.

Example Question #22 : Median

FInd the median of the set:

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an odd amount of numbers so we just count from each side until we find the number in the middle.

 

This gives us a final answer of 19 for the median.

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