How to find median - Algebra 1

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.

List the numbers in ascending order: 2,3,4,4,6,8,9,11,13,15,16

The median is the middle number, or 8.

To find the median of a set of values, simply place the numbers in order and find the value that is exactly "in the middle." Here, we can place the test scores in ascending order to get , , , , . (Descending order would work just as well.) The median is the middle value, . Make sure you don't confuse median with mean (average)! To get the mean value of this set, you would find the sum of the test scores and then divide by the number of values.

To find the median, first you arrange the numbers in order from least to greatest.

Then you count how many numbers you have and divide that number by two. In this case 12,15,16,21,22,32,93,108= 8 numbers.

So

Then starting from the least side of the numbers count 4 numbers till you reach the median number of

Then starting from the greatest side count 4 numbers until you reach the other median number of

Finally find the mean of the two numbers by adding them together and dividing them by two

to find the median number of .

0, 1, one fourth, twenty five percent, , 16, 25

First we will list the numbers from least to greatest:

0, one fourth, twenty five percent, , 1, 16, 25

The median is the middle number, or , which can also be expressed as

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.

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 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.

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.

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.

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

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

The median is the middle number of an ordered number set. By ordered number set, I mean that the numbers are arranged from lowest to largest. In this problem, we can arrange the number set from lowest to largest so that it is rewritten as

5, 5, 6, 7, 8, 9, 9, 9, 10, 14, 15, 15, 16, 18, 19

It looks like the middle-most number is 9. Therefore, 9 is the median.

To find the median of the set, we put the numbers in ascending order and find the middle number. Arranging the set in ascending order, we get . Since the number of values is odd, we simply take the middle number, 33.

The median of a set of numbers is simply the middle number in the ordered set. To find it, we can first put the set in order from least to greatest (greatest to least works just as well). The set can now be read as

Now, it is clear that the median number is 46. Don't confuse median and mean! The mean, or average value, is the result of the sum of all the values divided by the number of terms in the set.

Rearrange the numbers into increasing order.

The number in the center of the set is the median: 243