Published on September 11, 2020 by Pritha Bhandari. Revised on September 25, 2020.
In statistics, the range is the spread of your data from the lowest to the highest value in the distribution. It is a commonly used measure of variability.
Along with measures of central tendency, measures of variability give you descriptive statistics for summarizing your data set.
The range is calculated by subtracting the lowest value from the highest value. While a large range means high variability, a small range means low variability in a distribution.
Table of contents
Calculate the range
The formula to calculate the range is:
Formula to find the range
R = range
H = highest value
L = lowest value
The range is the easiest measure of variability to calculate. To find the range, follow these steps:
Order all values in your data set from low to high.
Subtract the lowest value from the highest value.
This process is the same regardless of whether your values are positive or negative, or whole numbers or fractions.
Range example
Your data set is the ages of 8 participants.
Participant 1 2 3 4 5 6 7 8
Age 37 19 31 29 21 26 33 36
First, order the values from low to high to identify the lowest value (L) and the highest value (H).
Age 19 21 26 29 31 33 36 37
Then subtract the lowest from the highest value.
R = H – L
R = 37 – 19 = 18
The range of our data set is 18 years.
How useful is the range?
The range generally gives you a good indicator of variability when you have a distribution without extreme values. When paired with measures of central tendency, the range can tell you about the span of the distribution.
But the range can be misleading when you have outliers in your data set. One extreme value in the data will give you a completely different range.
Answers & Comments
How to find the range of a data set
Published on September 11, 2020 by Pritha Bhandari. Revised on September 25, 2020.
In statistics, the range is the spread of your data from the lowest to the highest value in the distribution. It is a commonly used measure of variability.
Along with measures of central tendency, measures of variability give you descriptive statistics for summarizing your data set.
The range is calculated by subtracting the lowest value from the highest value. While a large range means high variability, a small range means low variability in a distribution.
Table of contents
Calculate the range
The formula to calculate the range is:
Formula to find the range
R = range
H = highest value
L = lowest value
The range is the easiest measure of variability to calculate. To find the range, follow these steps:
Order all values in your data set from low to high.
Subtract the lowest value from the highest value.
This process is the same regardless of whether your values are positive or negative, or whole numbers or fractions.
Range example
Your data set is the ages of 8 participants.
Participant 1 2 3 4 5 6 7 8
Age 37 19 31 29 21 26 33 36
First, order the values from low to high to identify the lowest value (L) and the highest value (H).
Age 19 21 26 29 31 33 36 37
Then subtract the lowest from the highest value.
R = H – L
R = 37 – 19 = 18
The range of our data set is 18 years.
How useful is the range?
The range generally gives you a good indicator of variability when you have a distribution without extreme values. When paired with measures of central tendency, the range can tell you about the span of the distribution.
But the range can be misleading when you have outliers in your data set. One extreme value in the data will give you a completely different range.
Answer:
Her deafness was noticed when she was eight-year-old. It was confirmed by the time she was eleven.
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