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SAT II Math II : Median

Study concepts, example questions & explanations for SAT II Math II

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Example Questions

Example Question #3 : Data Analysis And Statistics

Find the median of the following data set:

33,67,87,23,45,55,136,67,93

Possible Answers:

67.33

Correct answer:

Explanation:

Find the median of the following data set:

33,67,87,23,45,55,136,67,93

First, put the numbers in ascending order:

23,33,45,55,67,67,87,93,136

Next, identify the median by identifying the middle term.

$23,33,45,55,{\color{DarkRed} 67},67,87,93,136$

So, our median is 67.

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Example Question #2 : Median

Determine the median of the following numbers: [5,-6,17,2]

Possible Answers:

$\frac{9}{7}$

$\frac{3}{2}$

$\frac{9}{2}$

$\frac{7}{2}$

Correct answer:

$\frac{7}{2}$

Explanation:

Order the numbers from least to greatest.

$[5,-6,17,2] \to [-6,2,5,17]$

The median of a even set of numbers is the average of the central two numbers.

$\frac{2+5}{2} = \frac{7}{2}$

The answer is: $\frac{7}{2}$

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Example Question #1 : Data Analysis And Statistics

Determine the median of the numbers: [1,9,10,11,15,23]

Possible Answers:

$\frac{7}{3}$

$\frac{21}{2}$

$\frac{23}{2}$

$\frac{23}{6}$

$\frac{7}{2}$

Correct answer:

$\frac{21}{2}$

Explanation:

The numbers provided are already in chronological order.

Since we have an even set of numbers, the median of the numbers is the average of the two central numbers.

$\frac{10+11}{2} = \frac{21}{2}$

Do not confuse the meaning of mean and median!

The answer is: $\frac{21}{2}$

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Example Question #1 : Median

Determine the median of the numbers: [7,14,23,-52]

Possible Answers:

$\frac{21}{2}$

$\frac{39}{2}$

$\frac{37}{2}$

Correct answer:

$\frac{21}{2}$

Explanation:

Order the data set from least to greatest.

$[7,14,23,-52] \to [-52,7,14,23]$

The median is the average of the two central numbers for an even amount of numbers in the data set.

$\frac{7+14}{2} =\frac{21}{2}$

The answer is: $\frac{21}{2}$

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Example Question #1 : Median

Determine the median of the following numbers: [9,3,6,7,8,10,15]

Possible Answers:

$\frac{19}{2}$

$\textup{There is no median.}$

$\frac{15}{2}$

Correct answer:

Explanation:

Organize the numbers from least to greatest.

$[9,3,6,7,8,10,15]\rightarrow [ 3,6,7,8,9,10,15]$

The median of an odd set of numbers is the central number.

The answer is:

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SAT II Math II : Median

Study concepts, example questions & explanations for SAT II Math II

All SAT II Math II Resources

Example Questions

Example Question #3 : Data Analysis And Statistics

Example Question #2 : Median

Example Question #1 : Data Analysis And Statistics

Example Question #1 : Median

Example Question #1 : Median

All SAT II Math II Resources

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