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How to Find Mean Absolute Deviation | Statistics
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How do we find the mean absolute deviation of a set of data? The mean absolute deviation (MAD), sometimes simply called mean deviation, or average deviation, is a measure of how spread out a set of data is. It tells us, on average, how much points of the data set deviate from the average of the data set. We go over how to find the mean absolute deviation in today's math video lesson!
To find the mean deviation, we first must find the mean of the data set. Then, we must find the distance between each data point and the mean. The distance between a data point and the mean is the absolute value of the data point minus the mean, or |x - m| where x is the data point and m is the mean.
We find this distance for every data point, then add all the distances up. Then to find the mean deviation, we just need to find the mean of those distances. So we add them up and divide by the total number of distances, which is also the total number of data points.
The mean of the data set presented at the end of the video is 4. The mean absolute deviation is 1.5.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
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The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
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+WRATH OF MATH+
Follow Wrath of Math on...
To find the mean deviation, we first must find the mean of the data set. Then, we must find the distance between each data point and the mean. The distance between a data point and the mean is the absolute value of the data point minus the mean, or |x - m| where x is the data point and m is the mean.
We find this distance for every data point, then add all the distances up. Then to find the mean deviation, we just need to find the mean of those distances. So we add them up and divide by the total number of distances, which is also the total number of data points.
The mean of the data set presented at the end of the video is 4. The mean absolute deviation is 1.5.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
********************************************************************
+WRATH OF MATH+
Follow Wrath of Math on...
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