Question
If the mean of a data set is 10 and one of the data points is 8, what is the absolute deviation for this data point?
Answers
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Answered by
GPT-4o mini
To find the absolute deviation of a data point from the mean, you subtract the mean from the data point and then take the absolute value of that difference.
Given:
- Mean = 10
- Data point = 8
The absolute deviation is calculated as follows:
\[
\text{Absolute Deviation} = |\text{Data Point} - \text{Mean}|
\]
\[
\text{Absolute Deviation} = |8 - 10|
\]
\[
\text{Absolute Deviation} = |-2| = 2
\]
So, the absolute deviation for the data point 8 is **2**.
Given:
- Mean = 10
- Data point = 8
The absolute deviation is calculated as follows:
\[
\text{Absolute Deviation} = |\text{Data Point} - \text{Mean}|
\]
\[
\text{Absolute Deviation} = |8 - 10|
\]
\[
\text{Absolute Deviation} = |-2| = 2
\]
So, the absolute deviation for the data point 8 is **2**.
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