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 \(\displaystyle N= 13\) scores, we are seeking out the score that ranks at number

\(\displaystyle \frac{N + 1}{2} = \frac{13+1}{2} = 7\) 

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

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 \(\displaystyle N= 14\) scores, we are seeking out the score that ranks at number

\(\displaystyle \frac{N }{2} = \frac{14}{2} = 7\)

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 

\(\displaystyle M = \frac{22+ 23}{2} = \frac{45}{2} = 22.5\)

Reorder the numbers from least to greatest.

\(\displaystyle [-2,-2,-9,-9,10,10]\rightarrow [ -9,-9,-2,-2,10,10]\)

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

\(\displaystyle \frac{-2+(-2)}{2} = \frac{-4}{2}\)

The answer is:  \(\displaystyle -2\)

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

\(\displaystyle 88, 81, 90, 94, 85, 95, 90\)

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

\(\displaystyle 81, 85, 88, 90, 90, 94, 95\)

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

\(\displaystyle 81, 85, 88,{\color{Red} 90}, 90, 94, 95\)

We can see that it is 90.

Therefore, the median of the data set is 90.

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

\(\displaystyle 6, 5, 6, 8, 6, 3, 2, 5, 6, 1, 3\)

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

\(\displaystyle 1, 2, 3, 3, 5, 5, 6, 6, 6, 6, 8\)

Now, we will find the number in the middle.

\(\displaystyle 1, 2, 3, 3, 5, {\color{Red} 5}, 6, 6, 6, 6, 8\)

We can see that it is 5.

Therefore, the median of the data set is 5.

The numbers are already arranged in chronological order.

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

\(\displaystyle \frac{-1+1}{2} = 0\)

The answer is:  \(\displaystyle 0\)

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

\(\displaystyle 8, 6, 7, 2, 8, 3, 5, 1, 9, 4, 10\)

we will first arrange them in ascending order (from smallest to largest). We get

\(\displaystyle 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10\)

Now, we will find the number in the middle.

\(\displaystyle 1, 2, 3, 4, 5, {\color{Red} 6}, 7, 8, 8, 9, 10\)

We can see that it is 6. 

Therefore, the median of the data set is 6.

Rearrange the numbers from least to greatest.

\(\displaystyle [0,-5,-10,-15,1,2]\rightarrow [ -15,-10,-5,0,1,2]\)

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

\(\displaystyle \frac{-5+0}{2} = -\frac{5}{2}\)

The answer is:  \(\displaystyle -\frac{5}{2}\)

Rearrange the numbers from least to greatest.

\(\displaystyle [-4,-8,-7,16] \rightarrow [ -8,-7,-4,16]\)

The median of the data set is the average of the two central numbers, since there is an even amount of numbers provided.

\(\displaystyle \frac{-7+(-4)}{2} = \frac{-11}{2}\)

The answer is:  \(\displaystyle -\frac{11}{2}\)

To find the median score, 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

\(\displaystyle 98, 79, 88, 81, 77, 83, 79, 80, 84\)

we will first arrange the numbers in ascending order.  We get

\(\displaystyle 77, 79, 79, 80, 81, 83, 84, 88, 98\)

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

\(\displaystyle 77, 79, 79, 80, {\color{Red} 81}, 83, 84, 88, 98\)

Therefore, the median of the data set is 81.