Mean, Median, Mode, and Range

Getting a decimal value for the mean is perfectly okay; don’t round your answers to try to match the format of the other numbers. 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. To find it, add together all of your values and divide by the number of addends. You may have heard the word median before, and it was likely on a highway. On a highway, you have opposite lanes of traffic.

Mean, median and mode – Averages and range – WJEC – GCSE Maths Numeracy (WJEC) Revision – BBC

Mean, median and mode – Averages and range – WJEC – GCSE Maths Numeracy (WJEC) Revision.

Posted: Mon, 29 Jul 2019 18:20:55 GMT [source]

Since each element in the set appears just once , we say that this set has no mode. This example contains a set wherein all numbers have two decimal places. The rule of thumb is to ensure that any results of our computations must also be rounded off to the same decimal places. It is apparent that no value is repeated more often than the other. In fact, each unique number only shows up one time. Therefore, the median is located by finding the 5th entry when counted from either the left or right of the ordered list. To suggest that it is an estimate and not an exact answer.

Step 02: Find the Median

The harmonic mean is used quite a lot in physics. In some cases involving rates and ratios it gives a better average than the arithmetic mean. In addition, you’ll also find uses in geometry, finance and computer science. There are other types of means, and you’ll use them in various branches of math.

  • Similarly, If the data set contains 2 modes then it is called “Bimodal” and if the data set contains 3 modes then it is known as “Trimodal”.
  • Just like the median, the mode is not affected by outliers.
  • Standard deviation measures the variability of the data set.
  • If this occurs, you will need to average the two values.
  • Count how many times each number occurs in the data set.

However, most have very narrow applications to fields like finance or physics; if you’re in elementary statistics you probably won’t work with them. In the sample set, the high data value of 36 exceeds the previous value, 25, by 11. This value seems extreme, given the other values in the set.

What is the Mode?

Count how many times each number occurs in the data set. The mode is the number with the highest tally. And if all numbers occur the same number of times there is no mode. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. If there are 2 numbers in the middle, the median is the average of those 2 numbers. The range of a distribution with a discrete random variable is the difference between the maximum value and the minimum value.

Remember that the mode of any data set is the most common number and that the key to finding the mode is to look for repeat values. Now you are ready to find the mean, median, mode, and range of this data set. To calculate range math, simply determine the largest and smallest values and then find the difference by subtracting . The range is the difference between the highest and lowest values in the data set . If you’re looking for a simple answer to how to find the mode of a data set, then you’re in the right place. To find the mode, simply look for the value that occurs the most often (i.e. the value that repeats more than any other value). Clearly, the middle value is 6, so you can conclude that the median of the data set is equal to 6.

How can I keep straight which average is which?

So for the mean, I will solve it as usual by finding its “average”. Since we are dealing with negative numbers, it is a good practice to place them inside the parenthesis to caution Mean, Median, Mode, and Range us to be careful in combining them. Round off your answer to the nearest ones’ place. We don’t need to organize the list into numerical order to find the lowest and highest values.

  • Median is especially useful when your data set has outliers or numbers far away from the middle of the group of numbers.
  • The range is the measure of dispersion in a data set.
  • At the end of the game, the Ducks’ kickers had kicked field goals of 10, 14, 17, 19, 21 and 30 yards.
  • The mode is the value that occurs most frequently within a set of data.
  • Simplify comparisons of sets of number, especially large sets of number, by calculating the center values using mean, mode and median.
  • Mean, median and mode are all measures of central tendency in statistics.

You should be able to pick those required two values by quick inspection. Use the output value here to count from either the left or right of the ordered list to pinpoint the exact location of the median. If there are two middle numbers, add them and divide by 2 to get the median. Easy and quick way to represent the entire data values by a single or unique number due to its straightforward method of calculation. The median is the middle number in a list of numbers ordered from smallest to largest. The values in the list above were all whole numbers, but the mean of the list was a decimal value.

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Once you have finished all the tasks, click ‘Next’ below. You add them all up and divide by the number of numbers that were in the set.

How do you find the range?

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

Use our online mean median mode range calculator for your statistical analysis. In statistics, ‘Mean, Median and Mode’ are the three different types of averages used in statistics. Mean is the average, where we add numbers and divide by total number of numbers. Median is the middle value in the list of data. Mode is the number that occurs most frequently. The difference between the largest and smallest data is the range. Calculate average and range along with median and mode by entering a set of data in the above mean median mode range calculator.


For the server power consumption examples above, there is no mode because each element is different. The mode is 98 W since that power consumption measurement occurs most often amongst the 12 servers. Mode helps identify the most common or frequent occurrence of a characteristic. It is possible to have two modes , three modes or more modes within larger sets of numbers. The median of a distribution with a discrete random variable depends on whether the number of terms in the distribution is even or odd.

Mean, Median, Mode, and Range