Mean, Median, Mode, Range Calculator
Put the numbers in order from smallest to largest. Use the example set of values: 20, 24, 25, 36, 25, 22, Placed in order, the set becomes: 20, 22, 23, 24, 25, 25, Since this set of numbers has seven values, the median or value in the center is To find the range: Range is equal to maximum value minus minimum value which gives us: 12 ? 2 = Example 3: Find the mean, median, mode and range for the following list of values. To determine the value of the mean, obtain the total of all the numbers and then divide by the number of numbers in the list.
Calculate mean, median, mode along with the minimum, maximum, range, count, and sum for a set of data. Enter values separated by commas or spaces.
You can also copy and paste lines of data from spreadsheets or text documents See all allowable formats in the table below. Mean, median and mode are all measures of central tendency in statistics. In different ways they each tell us what value in a data set is typical or representative of the data set. The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.
The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers. The mode is the number in a data set that occurs most frequently. Count how many times each number occurs in the data set.
The mode is the number with the highest tally. It's ok if there is more than one mode. And if all numbers occur the same number of times there is no mode. For the data set 1, 1, 266, 9 the median is 4. If the size of the data set n is odd the median is the value at position p where. Potential Outliers are values that lie above the Upper Fence or below the Lower Fence of the sample what happened to jeff skilling. Basic Calculator.
Mean, Median, Mode What year did the vikings exist. Mean-Median-Mode Calculator. Enter Data Set 9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, Make a Suggestion.
Get a Widget for this Calculator. Acceptable Data Formats. Type Unit. Your Format Input Options. Follow CalculatorSoup:.
Play Bitesize games
13, 13, 13, 13, 14, 14, 16, 18, So the median is 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: median: Apr 14, · How to find the mean, median, mode and range The median is the middle value. To find the median, order the numbers and see which one is in the middle of the list. Oct 17, · How to Find the Range To figure the range subtract the smallest number from the largest number = Mean, Median and Mode: Data Trends, Detecting Anomalies, and Uses in Sports - Guide Authored by Corin B. Arenas, published on October 17,
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 from smallest to largest, so you may have to rewrite your list before you can find the median. The "mode" is the value that occurs most often. If no number in the list is repeated, then there is no mode for the list. Mean, Median, Mode, and Range.
The "range" of a list a numbers is just the difference between the largest and smallest values. Note that the mean, in this case, 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. The median is the middle value, so first I'll have to rewrite the list in numerical order:. The mode is the number that is repeated more often than any other, so 13 is the mode. You can just count in from both ends of the list until you meet in the middle, if you prefer, especially if your list is short.
Either way will work. 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.
Because of this, the median of the list will be the mean that is, the usual average of the middle two values within the list. The middle two numbers are 2 and 4 , so:.
So the median of this list is 3 , a value that isn't in the list at all. The mode is the number that is repeated most often, but all the numbers in this list appear only once, so there is no mode. The largest value in the list is 7 , the smallest is 1 , and their difference is 6 , so the range is 6. The values in the list above were all whole numbers, but the mean of the list 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. The median is the middle value. The fifth and sixth numbers are the last 10 and the first 11 , so:.
The mode is the number repeated most often. This list has two values that are repeated three times; namely, 10 and 11 , each repeated three times. As you can see, it is possible for two of the averages the mean and the median, in this case to have the same value. But this is not usual, and you should not expect it. Note: Depending on your text or your instructor, the above data set may be viewed as having no mode rather than having two modes, because no single solitary number was repeated more often than any other.
I've seen books that go either way on this; there doesn't seem to be a consensus on the "right" definition of "mode" in the above case. So if you're not certain how you should answer the "mode" part of the above example, ask your instructor before the next test. About the only hard part of finding the mean, median, and mode is keeping straight which "average" is which.
Just remember the following:. In the above, I've used the term "average" rather casually. The technical definition of what we commonly refer to as the "average" is technically called "the arithmetic mean": adding up the values and then dividing by the number of values. Since you're probably more familiar with the concept of "average" than with "measure of central tendency", I used the more comfortable term. The minimum grade is what I need to find.
To find the average of all his grades the known ones, plus the unknown one , I have to add up all the grades, and then divide by the number of grades. Since I don't have a score for the last test yet, I'll use a variable to stand for this unknown value: " x ". Then computation to find the desired average is:. He needs to get at least a 79 on the last test. You can use the Mathway widget below to practice finding the median. Try the entered exercise, or type in your own exercise.
Or try entering any list of numbers, and then selecting the option — mean, median, mode, etc — from what the widget offers you. Then click the button to compare your answer to Mathway's. Please accept "preferences" cookies in order to enable this widget. Click here to be taken directly to the Mathway site, if you'd like to check out their software or get further info. All right reserved.