Mean median mode and range ll statistics ll central tendency easy way class 9 cbse

How to Find Mean, Median, and Mode

Three Parts:

Mean, median, and mode are values that are commonly used in basic statistics and in everyday math. Though you can find each value pretty easily, it's also easy to mix them up. Read on to learn how to compute each value for a set of data.

Steps

Finding the Mean

1. Add up all of the numbers in the set.Let's say you're working with the numbers 2, 3, and 4. Add them up: 2 + 3 + 4 = 9.
2. Count up the amount of numbers in the set.In this case, you're working with 3 numbers.
3. Divide the sum of the numbers by the amount of numbers.Now take the sum of the numbers, 9, and divide it by the amount of numbers, 3. 9/3 = 3. The mean, or the average of all the numbers in the set, is 3. Remember that you won't always get a nice even number for your answer.

Finding the Median

1. Order all of the numbers in the set from least to greatest.Let's say you're working with the following numbers: 4, 2, 8, 1, 15. Just reorder them in ascending order, like so: 1, 2, 4, 8, 15.
2. Find the middle number of the set.How you do this will depend on whether you have an even amount of numbers or an odd amount. Here's what you can do in either situation:
• If odd, cross out the leftmost number, then the rightmost number, and then repeat. When you have one number left, this is your median. If you're working with the numbers 4, 7, 8, 11, and 21, then 8 is your mode because it's the number in the middle.
• If even, cross out numbers on either side, but you should have two numbers exactly in the middle. Add them together and divide by two for the median value. (If the two numbers in the middle are the same, that number is your median.) If you're working with the numbers 1, 2, 5, 3, 7, and 10, then your two middle numbers are 5 and 3. Add up 5 and 3 to get 8 and divide this result by 2 to get 4 as your median.

Finding the Mode

1. Write down all of the numbers in the set.In this case, you're working with the numbers 2, 4, 5, 5, 4, and 5. It can help to order them from least to greatest here too.
2. Find the number that occurs the most.Think: "Mode is most." In this example, the number 5 occurs the most, so that is the mode. If there are two numbers that occur the most, then that set is "bimodal," and if more than two numbers occur the most, then the set is "multi-modal."

Community Q&A

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• Question
If I have three fours and three fives, what is the mode?
wikiHow Contributor
If there is no other number that shows up more than three times in your data set, then you have two modes. This type of data set is called bimodal.
Thanks!
• Question
What is the mean with the numbers 72, 52, 80, 88 and 100?
wikiHow Contributor
You can find the mean by adding all of the numbers in the data table together, and then dividing them by the number of numbers you added together. In this case, 72+52+80+88+100=392. After adding them together, you would divide by 5, because you added 5 numbers together. The final answer is 78.4.
Thanks!
• Question
How do I calculate the mode in the following dataset? 1, 2, 3, 4, 1, 2, 1, 2, 1, 2
wikiHow Contributor
Start by lining up the data in ascending order, so it's organized in an easily readable fashion: 1, 1, 1, 1, 2, 2, 2, 2, 3, 4. Then, figure out which number appears most often. This is the mode. In your dataset, there are actually two modes -- 1 and 2. They both appear 4 times and nothing else appears more.
Thanks!
• Question
What does modal mean?
wikiHow Contributor
Modal is just the adjective form of the word mode. So, the modal value in a data set is the same as the mode.
Thanks!
• Question
If there is more than three numbers, how to solve it?
wikiHow Contributor
Add all the numbers together, then divide by the number of the numbers that you added together for the mean. For example, if you needed to solve the mean of v, x, y, and z, then you would add v+x+y+z then divide by 4, as you added 4 numbers together.
Thanks!
• Question
What is a multimodal distribution?
If a distribution is termed to be multimodal, there are at least two modes in the distribution. This means that at least two numbers appear the greatest amount of times in the distribution. For example, if you have a set of data in which three numbers each appear five times and no other numbers appear more than five times, then you have a multimodal distribution with three modes.
Thanks!
• Question
Does the median change if the numbers are ordered from greatest to least?
wikiHow Contributor
No, but you should learn to order them from least to greatest because it will make it easier when you do more complicated things, such as finding the first and third quartiles of the data.
Thanks!
• Question
How do I present information that is bimodal?
"Bimodal" means that the modal number appears twice in the set. Present the set as you would any other set.
Thanks!
• Question
80,85,90,95,100,105,110,115,120,120,125,130. What is the mode?
Remember that the mode is the most common number within the data. In this list, only one number appears more than once. Therefore, the mode of this data is 120.
Thanks!
• Question
If all the numbers in a set appear once, how do I find the mode?
As the article points out, the set is "multi-modal" and thus doesn't have a single mode.
Thanks!
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Video

 This video explains how to find the mean, median, and mode.

Quick Summary

To find the mean of a group of numbers, count how many numbers are in the set, then add all of those numbers up, and divide the sum by the amount of numbers. To find the median, order all of the numbers in the set from least to greatest. If the set is made of an odd number of integers, the median will be the middle number, and if it’s an even number, add the 2 middle numbers together and divide them by 2 to get the median. For the mode, write down all of the numbers and find the number that occurs the most often.

• Ordering the numbers from least to greatest can help you find the median and the mode.

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Date: 09.12.2018, 01:03 / Views: 41161