Grand Mean vs. Group Mean

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The grand mean and the group mean are two different concepts and should be treated as such. Learn about the grand mean versus the group mean with help from a longtime mathematics educator in this free video clip.

Part of the Video Series: College Math
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Video Transcript

Hi, I'm Jimmy Chang, and we're here to talk about the grand mean versus the group mean. Now, the group mean is the more straightforward of the two and that it's, we're talking about the mean of group data. However, the grand mean is going to be a little more involved because the definition of the grand mean is the mean of the mean or means of several sub samples. An illustration of this would be if you have, if you're taking the sub samples, find the mean of each sub sample and then take all those means and put them together. So, for example, let's just say you're conducting an experiment involving data from all 50 states. You may have sample, sub sample, let's just say involving Florida; you want to find the mean of that. And then, have another sub sample, let's just say from New York and find the mean of that sub sample. And then what you're going to do, you're going to find the sub samples of the other states; for example Georgia, Texas, Alaska, et cetera and then, you're going to take all 50 of those means and find the mean of that and you'll get your grand mean. So, the grand mean is a lot more involve than the group mean, but that hopefully will give you some differences between the two. So, I'm Jimmy Chang and that's the grand mean versus the group mean.


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