WEBVTT
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this question shows you a table of the salaries of
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all the New York Yankees. It asks you first
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to find the mean median and mode. We know
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that the mean is just the sum of all the
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values. Oops, some of all the values over
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the total number. Well, we know that there
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are 25 data points in this table, and when
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we add all of them up, we get a
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whopping 206,000 or two under 6,333,389 total dollars in salary
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. When we do this division, we find that
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the mean salary for a New York Yankee is eight
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million 253,000 336. Now let's look at the mean
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or the median. The median, since we have
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25 data points is gonna be at the position n
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plus 1/2. So 25 plus 1 26 divided by
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two equals 13. So it's gonna be at the
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13th position. If we count 13 he's already in
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order. So if we count 13 down in our
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table, we get to Nick Johnson, whose salary
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is five million 500,000. Also, if we look
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at the mode, we see that that salary 5,500,000
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is the only one that repeats. So that's also
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our mood. 5,500,000. So which which of these
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now is the best? Identify our central tendency,
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our best average? Well, it looks like medium
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is going to be the best. That seems to
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be the one that's most in the middle the most
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its most. Ah, it tells the most about
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the rest of the data. So medium is really
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gonna be our best average and that why are median
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and mean so different? Well, it's because we
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have a lot of extreme values. You look at
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Alex Rodriguez a salary. It's way off to the
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rights. If we made a history, Graham would
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be way off to the right, and that is
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skewing called skewing our average. So is making her
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average a lot higher than the median