Mean, Median, Mode, and Range Worksheets

What Do Mean, Median, and Mode Measure? In statistics, the central tendency is defined as the typical or central value of the probability distribution. Primarily, we have three basic measurements of central tendency, namely, mean, median, and mode. Each of these measurements provides us with valuable information about the data set. We can use this information to how data points are related to each other in the data set. Mean or more commonly known as the average value is calculated by adding all the given data points and dividing them by the numbers of given data points. For example, we have values 20, 15, 10, 25, and 5. To find the mean of these values, we will first add all the values. 20 + 15 +10 + 25 + 5, we will get 75. Then we will divide 75 with the number of given addends, which is 5 in this case. The mean we will get is 75/5 = 15. Median is the number present in the middle of a given data set. That means it has an equal number of data points below and above it. For example, I few take the same data points, 20, 15, 10, 25, and 5. In this case, the median is 10, as it has an equal number of data points both above and below it. The mode tells us the number with the highest frequency that is it occurred the most in a data set. In our example, 20, 15, 10, 25, and 5, each number is present one time only; hence there is no mode in this data set.

What does the Range of Data Mean?

The range of data is the difference between the highest and the lowest values in the set. To find the range, write down all the numbers in ascending order and identify the lowest and the highest values. Then subtract the smallest value in your data set from the largest; you will get range. Examples: In a set {5,8,9,4,3}, the lowest value is 3, and the highest value is 9. Therefore the range is: 9 - 3 = 6. The Marathon race was completed by 5 participants in the following hours: 2.7 hr, 8.3 hr, 3.5 hr, 5.1 hr, 4.9 hr, the lowest value is 2.7 hr, and the highest value is 8.3 hr, therefore the range is 8.3 hr – 2.7 hr = 5.6 hr. The scores of a batsman in the last 5 matches are given as 45, 34, 2, 77, and 80. The lowest value is 2, and the highest value is 80. Therefore, the range is 80 – 2.

Chances Are...

What does probability really mean? According to the Webster's Dictionary it means: the chances of something happening, or the ratio of the number of times it could happen compared to the number of possible things that could happen.

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