# GED Math : Median

## Example Questions

### Example Question #106 : Statistics

A class took a Math exam. Here are the test scores of 9 students.

Find the median.

Explanation:

To find the median of a data set, we will first arrange the numbers in ascending order. Then, we will find the number in the middle of the set. So, given the set

we will arrange the numbers in ascending order (from smallest to largest). We get

Now, we will find the number in the middle of the set.

Therefore, the median of the data set is 84.

### Example Question #107 : Statistics

Determine the median of the numbers:

Explanation:

Reorder the numbers from least to greatest.

The median is the average of the central numbers of an ordered set of numbers.

### Example Question #108 : Statistics

Determine the median:

Explanation:

Rewrite the data set from least to greatest.

Average the central two numbers.

### Example Question #109 : Statistics

Find the median:

Explanation:

Reorder the numbers in the data set from least to greatest.

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

### Example Question #111 : Statistics

Identify the median:

Explanation:

Reorder the numbers from least to greatest.

For an even number of values in a set of data, the median is the average of the central two numbers.

### Example Question #112 : Statistics

Give the median of the following test scores:

12, 34, 22, 28, 22, 28, 19, 20, 19, 22, 29, 35, 23

Explanation:

There are thirteen test scores, an odd number, so the median of the test scores is the score which, after the scores are ordered, appears in the middle. Order the scores from greatest to least:

12, 19, 19, 20, 22, 22, 22, 23, 28, 28, 29, 34, 35

As there are  scores, we are seeking out the score that ranks at number

That is, the median is the seventh-highest score. This score can be seen to be 22.

### Example Question #113 : Statistics

Give the median of the following test scores:

12, 34, 22, 28, 22, 28, 19, 20, 19, 22, 29, 50, 35, 23

Explanation:

There are fourteen test scores, an even number, so the median of the test scores is the arithmetic mean of the two scores which, after the scores are ordered, appear in the middle. Order the scores from greatest to least:

12, 19, 19, 20, 22, 22, 22, 23, 28, 28, 29, 34, 35, 50

As there are  scores, we are seeking out the score that ranks at number

from the top, and number 7 from the bottom.

That is, the median is the arithmetic mean of the seventh-highest and seventh-lowest scores. These scores can be seen to be 22 and 23, so the median of the scores is

### Example Question #114 : Statistics

Identify the median:

Explanation:

Reorder the numbers from least to greatest.

For an even amount of numbers given, the median is the average of the central two numbers.

### Example Question #115 : Statistics

Use the following data set of student test scores to answer the question:

Find the median.

Explanation:

To find the median of a data set, we will first arrange the numbers in ascending order. Then, we will find the number in the middle of the set.

So, given the data set

we will arrange the numbers in ascending order (from smallest to largest). We get

Now, we will find the number in the center. We get

We can see that it is 90.

Therefore, the median of the data set is 90.

### Example Question #116 : Statistics

Use the following data set to answer the question:

Find the median.

Explanation:

To find the median of a data set, we will first arrange the numbers in ascending order. Then, we will find the number in the middle of the set.

So, given the data set

we will first arrange the numbers in ascending order (from smallest to largest). So, we get

Now, we will find the number in the middle.

We can see that it is 5.

Therefore, the median of the data set is 5.