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- [Instructor] When you analyze a set of data,
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you will often want to identify the smallest
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and largest values, and also where you have cutoffs
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within your data set.
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In this movie, I will show you how to find the minimum
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and maximum values,
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as well as determine measures called quartiles.
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My sample file is 01 02 minimums,
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and you can find that in the chapter one folder
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of the exercise files collection.
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In this workbook, I have a set of order values
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and they run from cell A2 all the way down,
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scrolling to A40.
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And I have them sorted in order so it will make it easier
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to check the results of our formulas.
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If I want to use a formula to find the minimum value
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in my data set, then I can go to cell D2 in this case,
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type in equal sign, and the function is min, M I N.
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And my data range is A2 through A40.
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So I'll type that in.
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Right parenthesis to close out and Enter.
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And I see that the minimum value is 1,684, which is correct.
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And it corresponds to the first value in the data set in A2,
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which again, I sorted in order from smallest to largest.
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Finding the maximum value is also pretty straightforward.
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So I'll click in cell D4, equal,
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and we used min before, we'll use max now.
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Left parenthesis, A2 colon A40.
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Right parenthesis then Enter.
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And the largest value is 9,932.
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And if I scroll down to A40, hopefully I will see 9,932
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And I do.
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Then I'll go back up and we can go to cell D6
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and create a formula to measure the quartile.
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A quartile is a measure that shows where the 25, 50,
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and 75% cutoffs are in your data set.
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Rather than try to just explain it with words,
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I'll go ahead and create the formula
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and we can look at the result together.
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So I'll type in equal sign in D6,
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and I'll start typing my function, Q U A R T.
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And we have quartile.
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We have two versions:
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quartile.exc which is exclusive,
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and quartile.inc which is inclusive.
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The difference between the two
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is that exclusive only lets you identify quartile one,
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two, and three, whereas quartile inclusive
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also lets you identify the minimum and maximum value
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using the quartile function.
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So which one you use doesn't really make any difference
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'cause we're only looking at the middle three,
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and we're using min and max for our minimum and maximum.
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So I'll just go ahead and use exclusive
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which is the one that's highlighted now.
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And my array is A2 through A40,
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but I need to add another argument, so I'll type a comma.
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And we need to identify the quartile.
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In this case, we're looking at the 25th percentile.
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So I'll press Tab.
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I could've also typed in the number one,
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right parenthesis, and Enter, and I get 4,293.
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And if I look in the data list over on the left,
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I see that value occurs in cell A11.
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I have 10 values including 4,293 in the data set.
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So that means that I have about 40 values
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and quartile number one ends at value number 10
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when the data list is sorted in order
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from smallest to largest.
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Now let's do the same thing with quartile two,
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and I will change the highlighting of cell A11
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so we remember where quartile one ends up.
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So I'll go to cell D8, type in equal sign and quartile.
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We're using exclusive, and then A2 through A40, comma,
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and we'll do number two, which is the median value,
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and right parenthesis and Enter, and we get 6,062, so 6,062.
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So I'll scroll down.
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There's a value in 21, or A21, right here.
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And so I have, dragging to count,
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I have 10 values in that quartile.
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That makes sense.
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So I will change the highlighting there
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and go back up and do quartile three in cell D10.
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So equal sign, quartile, exclusive, A2 though A40,
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then we'll do the third quartile.
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So I'll type number three and Enter, 7,491.
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So I'll scroll down and then there is 7,491.
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So I have 1, 2, 3, 10 values there.
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So I will click cell A31, change the highlight,
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and go down to the bottom.
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And from 32 to 40, it looks like I have nine values there.
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I do.
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So we have 10 values in each of the first three quartiles,
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and then for the fourth one, we have only nine,
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and that includes our maximum value of 9,932.
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As you can see,
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this type of analysis can give you great insights
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into your data, the minimum, the maximum,
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and how the data is arranged or spread out
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between those two values.
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