Table of Contents
What does range Tell us about data?
The range can only tell you basic details about the spread of a set of data. By giving the difference between the lowest and highest scores of a set of data it gives a rough idea of how widely spread out the most extreme observations are, but gives no information as to where any of the other data points lie.
What is the purpose of the range?
A data set is a group of numbers that has been collected. The range is the difference between the lowest and highest numbers in a data set. Essentially, the range tells us how spread apart a group of numbers is.
How do you describe range of data?
The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6.
What is an advantage of using the range as a measure of variation?
The range is the difference between the largest and the smallest observation in the data. The prime advantage of this measure of dispersion is that it is easy to calculate. On the other hand, it has lot of disadvantages. It is very sensitive to outliers and does not use all the observations in a data set.
Why is the range of a data set important?
The range is a good way to get a very basic understanding of how spread out numbers in the data set really are because it is easy to calculate as it only requires a basic arithmetic operation, but there are also a few other applications of the range of a data set in statistics.
What is the use of range in statistics?
Applications of Range . The range is a good way to get a very basic understanding of how spread out numbers in the data set really are because it is easy to calculate as it only requires a basic arithmetic operation, but there are also a few other applications of the range of a data set in statistics.
Are there any limitations to the use of range?
Some Limitations of Range. Range is quite a useful indication of how spread out the data is, but it has some serious limitations. This is because sometimes data can have outliers that are widely off the other data points. In these cases, the range might not give a true indication of the spread of data.
Is the mean of each data set the same?
The mean of each data set is the same, so we may be tempted to think that the data are the same. But a look at the range says otherwise. In the first dataset, X1, the range is 25 – 5 = 20. While dataset X3 has a range of 90 – (-60) = 150!