The median, by definition, is the middle number in a set of numbers which, in this case, is 21.  The mean is the average of the set of numbers, which is 20 for this set.

Regardless of the value of , these elements are in ascending order. There are five elements, so the third-highest element is the median, as there will be two elements greater than this one and two elements less than this one. This number is .

The problem is asking for the median of the ages. The answer is easiest to see if you look at the extreme case of all the unkown people being younger than the known people. If the 3 unknown people were 10 years old, the line would be 10, 10, 10, 14, 16, 16, 17, making 14 the median. With 4 people older than 14, there is no way to have a median below 14.

The median of 99 natural numbers is the number that falls in the  place when ordered. Among the first 99 natural numbers, this is 50.

First put your set in numerical order, from smallest to largest

Median refers to the number in the middle, so if you count in from both sides the middle number of the set is 

The median score will be located in the middle of the class's scores when arranged from lowest to highest or highest to lowest. Because there are 30 students in the class, the median score is the average of the 15th and 16th score. In this case, the 15th and 16th highest score is 4, which means that its median must be 4.

The simplest of these statistical measurements is the mode, which refers to the most common value in the set. Here, all of the values are present once except for 85, which is present twice, making it our mode. The corresponding answer choice is true and is not our solution.

Next, we find the mean by adding the values and dividing by 6. The mean is indeed 77.

Let's look at the median. The two middle values of the set are 85 and 79, so the median falls directly between them, at 82.

Finally, the range is the difference between the highest value and the lowest. , so the answer choice stating that the range is 31 is our false answer.

The median of a set of numbers is the number that falls in the middle when the numbers are arranged from smallest to largest: 3, 3, 5, 6, 18.  The number that falls exactly in the middle of this set is 5, which is the median. 

This is a combination problem where the order of selection is not important (e.g., ABC is same as ACB is same as CAB).  Hence we need to eliminate any duplication due to order of selection.

One man can be selected out of 5 is

and 2 women can be selected out of 4 women in

ways

Having selected 3 candidates, these candidates can be assigned the three positions in 3! ways giving us the correct answer which is