Sense if you have a symmetric data set or if you have things So the median is much more robust if you have a skewed data set. Skew the mean incredibly, but it actually would notĮven change the median, because the median, it doesn't matter how high this number gets. Thousand, which would be 250 million dollars, which isĪ ginormous amount of money to make, it wouldn't, it would Even if you made this instead of 250,000 if you made this 250,000 Over here, which seems to be much more indicative for central tendency. You have data points that would skew the mean, Up and divide by the number of data points you have. Might make two million dollars, and so that will skew theĪverage or skew the mean I should say, when you add them all Make, most people are making 50, 60, $70,000, but someone If you have data that is skewed,Īnd especially things like salary data where someone might That it has skewed the mean, and this is something Rest of the distribution from the rest of the data That our, our data is skewed significantly by thisĭata point at $250,000. One, and the reason is is that you have this one that the, Tendency is higher than all of the data points except for Of central tendency? Well to me it doesn't feel that good, because our measure of central So one's salary is allĬalculate the mean as 76.2 as our measure of central tendency, 76.2 is right over there. So it's gonna be right around there, and then one makes 250,000. One makes 60,000, orĪctually, two make 60,000, so it's like that. Two make 50,000, or three make 50,000, so one, two, and three. This one right over here would be a little bit closer to this one. I'm, I could draw thisĪ little bit neater, but, 60, 70, 80, 90. So this would be about 60,ħ0, 80, 90, close enough. Than this would be roughly 40 right here, and I just wanna get rough. Where those numbers sit relative to each other. So we just don't see things as numbers, but we see So we get a better sense and we just don't see them, Tendency is a better measure? All right, so let's thinkĪbout this a little bit. ![]() Salaries, which measure, which measure of central Now what I want you toĭo is pause this video and think about for this data set, for this population of You just order the numbers and you take the middle number here which is 56. It by adding up all of these numbers, these nine numbers,Īnd then dividing by nine, and the median is 56, and median ![]() Out a bunch of parameters based on this data here. So she's doing very well for herself, and the computer it spits ![]() Their salaries into a computer, and so these are their salaries. Sense of the spread around that central tendency one What is the central tendency for salaries one year after graduation? And they also wanna have a That has a class size of nine, and they wanna figure out Nine students who recently graduated from a small school
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