In order to find the median, we must first make sure our set is ordered from least to greatest, then take the middle number. We can see that it is, as $\displaystyle 2$, the smallest number, is first and $\displaystyle 8$, the largest number, is last.

Here we can see that we have $\displaystyle 4$ numbers in this set, so we don't have a number that sits between an equal amount of numbers on either side. Our two most middle numbers are $\displaystyle 4$ and $\displaystyle 6$.

Choosing one will not give us the right answer, so in order to find the median, we must add these two together and divide by $\displaystyle 2$, because that is how many numbers we are adding together.

$\displaystyle \frac{4+6}{2}=5$

$\displaystyle 5$ is our median because it is the number that sits between $\displaystyle 4$ and $\displaystyle 6$.

Our answer is $\displaystyle 5$.

In order to find the median, we must first put our set in order from least to greatest. We can see that it is not in order, so let's make it so.

$\displaystyle 4$, $\displaystyle 6$, $\displaystyle 7$, $\displaystyle 12$, $\displaystyle 18$

Our set is now in order, and we can see that we have $\displaystyle 5$ numbers in this set. This means that our median will have $\displaystyle 2$ numbers on either side of it. 

$\displaystyle 7$ is the only number that has $\displaystyle 2$ numbers on either side of it, making it our median.

Our answer is $\displaystyle 7$.

In order to find the median, we must first put our set in order of least to greatest.

$\displaystyle 3$, $\displaystyle 6$, $\displaystyle 10$, $\displaystyle 19$

With the set in order, we can see that we have $\displaystyle 4$ numbers in this set. This means we don't have a number that sits in between an equal amount of numbers. Our two most middle numbers are $\displaystyle 6$ and $\displaystyle 10$.

To find the median, we must add  $\displaystyle 6$ and $\displaystyle 10$ together and then divide by $\displaystyle 2$, as that is how many numbers we are adding together.

$\displaystyle \frac{6+10}{2}=8$

Our answer is $\displaystyle 8$.

The mode of a data set is the element that occurs most frequently. If there is a tie between the frequencies of two (three, etc.) elements, the set has two (three, etc.) modes. 

Here, though, only one element (8) appears four times, with no other element appearing more frequently. 8 is the only mode.

The mode of the data set is the most frequently occurring element. In the set given, 4 occurs three times, 5 occurs three times, 6 occurs two times, and 3 and 7 occur one time each. 

If 4 is added to the data set, then it occurs four times, more than any other element, so it becomes the unique mode; a similar argument holds for 5. If 6 is added to the set, then each of 4, 5, and 6 occur three times, and the set becomes one with three modes. 

The correct answer is therefore I and II only.

The mean of a data set is the sum of its elements divided by the number of elements, which here is 10:

$\displaystyle A = \frac{0+5+5+5+5+10+10+15+20+25}{10}= \frac{100}{10}= 10$

The median of a data set with an even number of elements is the mean of the middle two values when the set is arranged in ascending order; the middle numbers are 5 and 10, so the median is 

$\displaystyle B = \frac{5+10}{2} = 7.5$

The mode of a data set is the most frequently occurring element, which here is 5, so

$\displaystyle C = 5$.

The correct response is $\displaystyle A > B > C$

The mode of a set of numbers is the number with the highest frequency (meaning that it shows up the most).

Only one number appears twice in this list -  $10.

$8, $10, $6, $7, $10, $2, $5, $3, $4

$10 is the mode.

The mode(s) of a set of numbers is the number(s) that appear the most frequently. If the numbers in a set only appear once, the set does not have a mode.

In this number set, $\displaystyle 12$ and $\displaystyle 14$ appear in the list three times, more often then any other numbers. So, $\displaystyle 12$ and $\displaystyle 14$ are the modes.

The mode is defined as the number or numbers that occur most often in the set of numbers.

Since every number is unique, and only appears once, there is no mode present.

Do not confuse the mode with the median or mean.

The answer is:  $\displaystyle \textup{No mode.}$

To find the mode of a data set, we will find the number that appears most often.

So, given the set

$\displaystyle 78, 95, 84, 81, 93, 88, 84$

we can see the number that appears most often is 84 (it appears 2 times, while the other numbers only appear once).

Therefore, the mode of the data set is 84.