Calculate Median

Calculate Median Calculate Median Mean, median, and mode are three kinds of "averages". There are many "averages" in statistics, but these are, I think, the three most common, and are certainly the three you are most likely to encounter in your pre-statistics courses, if the topic comes up at all.

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers. To find the median, your numbers have to be listed in numerical order, so you may have to rewrite your list first. The "mode" is the value that occurs most often. If no number is repeated, then there is no mode for the list.

The "range" is just the difference between the largest and smallest values.

Find the mean, median, mode, and range for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13 The mean is the usual average, so: (13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 13) รท 9 = 15 Note that the mean isn't a value from the original list. This is a common result. You should not assume that your mean will be one of your original numbers.

Know More About Correlation Formula

Math.Tutorvista.com

Page No. :- 1/5

The median is the middle value, so I'll have to rewrite the list in order: 13, 13, 13, 13, 14, 14, 16, 18, 21 There are nine numbers in the list, so the middle one will be the (9 + 1) ÷ 2 = 10 ÷ 2 = 5th number : 13, 13, 13, 13, 14, 14, 16, 18, 21 The mode is the number that is repeated more often than any other, so 13 is the mode. The largest value in the list is 21, and the smallest is 13, so the range is 21 – 13 = 8.

Mean: 15

median: 14

mode: 13

range: 8

Note: The formula for the place to find the median is "( [the number of data points] + 1) ÷ 2", but you don't have to use this formula. You can just count in from both ends of the list until you meet in the middle, if you prefer. Either way will work.

Find the mean, median, mode, and range for the following list of values : 1, 2, 4, 7. The mean is the usual average: (1 + 2 + 4 + 7) ÷ 4 = 14 ÷ 4 = 3.5 The median is the middle number. In this example, the numbers are already listed in numerical order, so I don't have to rewrite the list. But there is no "middle" number, because there are an even number of numbers. In this case, the median is the mean (the usual average) of the middle two values: (2 + 4) ÷ 2 = 6 ÷ 2 = 3 The mode is the number that is repeated most often, but all the numbers appear only once.

Then there is no mode. The largest value is 7, the smallest is 1, and their difference is 6, so the range is 6.

Mean: 3.5

median: 3

mode: none

range: 6

The list values were whole numbers, but the mean was a decimal value. Getting a decimal value for the mean (or for the median, if you have an even number of data points) is perfectly okay; don't round your answers to try to match the format of the other numbers.

Learn More Central Limit Theorem Example Math.Tutorvista.com

Page No. :- 2/5

How to Find Mode How to Find Mode Finding the mean, also known as averaging numbers, is a very useful thing to know how to do, especially when you need a precise estimate or a very accurate generalization. Means and medians are not exact numbers; however, they are based on a series of exact numbers, therefore they are precise.

Finding the mean (average) is used most often when figuring out students’ grades, the price of an item, and other things such as the daily temperature. Median is used to find the midsection of a group of numbers, and mode is used to find the most popular term of the series (the number that appears the most often).

In this lesson, we’ll take you through how to find the mean (average), median, and mode of a series of numbers, as well as give you several examples of instances when you would use each.

The mode of a series of numbers is the number that appears the most often. Some series do not have a mode, because there are no repeating numbers. However, other series have a mode—the number that occurs most often.

Math.Tutorvista.com

Page No. :- 3/5

Let’s look at a series of numbers: 3, 2, 6, 4, 9, 8, 4, 7, 10. Notice that the series has one of each number, but has two 4s. Thus, 4 is the mode because it occurs more often than any other number.

There are sometimes exceptions to this rule. For example, take the series from the first example of the last section. The series was 2, 6, 9, 5, 7, 5, 3, 9, 10, 4, 8. Note that there are two 5s and two 9s. In this example there are actually two modes—5 and 9.

Here are a couple examples you can try on your own. When you’re done, type the answer into the box so you can check your answer with ours.

To find the mode, or modal value, first put the numbers in order, then count how many of each number.

Example: 3, 7, 5, 13, 20, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29 In order these numbers are: 3, 5, 7, 12, 13, 14, 20, 23, 23, 23, 23, 29, 39, 40, 56 This makes it easy to see which numbers appear most often.

In this case the mode is 23.

Another Example: {19, 8, 29, 35, 19, 28, 15} Arrange them in order: {8, 15, 19, 19, 28, 29, 35} – 19 appears twice, all the rest appear only once, so 19 is the mode.

Read More About Normal Distribution Example

Math.Tutorvista.com

Page No. :- 4/5

Thank You

Math.TutorVista.com