How to Find the Range in Standard American English
The range is a measure of the spread of a data set. It is the difference between the maximum and minimum values in the set. The range can be used to quickly identify the spread of the data and to compare the spread of different data sets.
To find the range, you first need to identify the maximum and minimum values in the data set. The maximum value is the largest value in the set, and the minimum value is the smallest value in the set. Once you have identified the maximum and minimum values, you can calculate the range by subtracting the minimum value from the maximum value.
For example, if the data set is {1, 3, 5, 7, 9}, the maximum value is 9 and the minimum value is 1. The range is therefore 9 – 1 = 8.
The range can be a useful measure of the spread of a data set, but it is important to note that it can be misleading if the data set is skewed. A skewed data set is a data set in which the values are not evenly distributed. In a skewed data set, the range can be inflated by a few extreme values.
For example, if the data set is {1, 3, 5, 7, 9, 100}, the maximum value is 100 and the minimum value is 1. The range is therefore 100 – 1 = 99. However, the range of 99 is misleading because the data set is skewed by the extreme value of 100.
In general, the range is a useful measure of the spread of a data set, but it is important to be aware of the potential for it to be misleading.
How to Find the Range in a Frequency Distribution
A frequency distribution is a table that shows the number of times each value occurs in a data set. To find the range in a frequency distribution, you first need to identify the maximum and minimum values in the distribution. The maximum value is the value with the highest frequency, and the minimum value is the value with the lowest frequency. Once you have identified the maximum and minimum values, you can calculate the range by subtracting the minimum value from the maximum value.
For example, if the frequency distribution is:
| Value | Frequency |
|---|---|
| 1 | 2 |
| 3 | 3 |
| 5 | 4 |
| 7 | 5 |
| 9 | 6 |
The maximum value is 9, and the minimum value is 1. The range is therefore 9 – 1 = 8.
How to Find the Range in a Stem-and-Leaf Plot
A stem-and-leaf plot is a graphical representation of a data set. To find the range in a stem-and-leaf plot, you first need to identify the maximum and minimum values in the plot. The maximum value is the value with the highest stem, and the minimum value is the value with the lowest stem. Once you have identified the maximum and minimum values, you can calculate the range by subtracting the minimum value from the maximum value.
For example, if the stem-and-leaf plot is:
Stem | Leaf
-----|-----
1 | 2 3 5
3 | 4 6 8
5 | 0 2 4 6 8
7 | 0 2 4 6 8
9 | 0 2 4 6 8The maximum value is 98, and the minimum value is 12. The range is therefore 98 – 12 = 86.
FAQs
What is the range?
The range is a measure of the spread of a data set. It is the difference between the maximum and minimum values in the set. The range can be used to quickly identify the spread of the data and to compare the spread of different data sets.
How do I find the range?
To find the range, you first need to identify the maximum and minimum values in the data set. The maximum value is the largest value in the set, and the minimum value is the smallest value in the set. Once you have identified the maximum and minimum values, you can calculate the range by subtracting the minimum value from the maximum value.
What is a skewed data set?
A skewed data set is a data set in which the values are not evenly distributed. In a skewed data set, the range can be inflated by a few extreme values.
How do I find the range in a frequency distribution?
To find the range in a frequency distribution, you first need to identify the maximum and minimum values in the distribution. The maximum value is the value with the highest frequency, and the minimum value is the value with the lowest frequency. Once you have identified the maximum and minimum values, you can calculate the range by subtracting the minimum value from the maximum value.
How do I find the range in a stem-and-leaf plot?
To find the range in a stem-and-leaf plot, you first
