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so as we're now thinking about
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manipulating and summarizing our data
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a great place to start is with a concept that we're
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almost certainly familiar with
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which is the concept of an average or mean
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so an average is basically
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an expected value for some data right
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and we all calculate averages really frequently
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sometimes we calculate averages when we're learning in
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in school and we wanna know our grade
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or if we're teachers and we're calculating grades
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if we wanna calculate an average cost for something
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a lot of us know how to do this
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we can do this by hand
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pen and paper
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with a calculator
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but the whole point of this class
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and the whole point of spreadsheet programs like Excel
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is it can do it for us automatically
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and save us a bunch of time
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we're still working with relatively small data sets
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like our weather data set
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but as our data sets get bigger and bigger and bigger
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we need to rely on more and more
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on these time saving tools that we can use Excel
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so I'm gonna show you
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how to do these kinds of calculations
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these kinds of summary
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and manipulation calculations in Excel
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through a few different steps here
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and you'll see we're starting to integrate
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and bring in a lot of the other knowledge
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that we've worked on so far
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now you've probably calculated an average before
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and if so you know that the average of a value
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is the sum of all the values
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divided by the number of observations that we have
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so if we're doing daily
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low temperature
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and average of that value
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we know that we need to take the sum first
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and we need to add all these values up
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now we know
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using Excel's equation or formula tools
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that we can put an equal sign here
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and we can ask Excel to add all these numbers up for us
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right we can just use our plus signs
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and we can click on every single cell here
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and we get these cool cell referencing color codes
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right and let's pause here to remember
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our cell referencing system is working for us
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we're going to add the value
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and C to to C3
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to C4 and so on
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and so on and so on
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color coded
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we have our equation up here as well
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this is going to ensure an error free calculation
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but the problem is
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you can see that this is already very tedious
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and so we're already going to skip ahead
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from using these manual equations
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to using something in Excel called functions
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so we'll start over here
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a function is a built in tool in Excel
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that will do some mathematical work for us here
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I'm gonna use the summer function
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if I use the sum function
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I need to give this function some information
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that information is held in parentheses
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what do I want to sum
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I want to sum all of these values
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just click and drag all of those cells
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and you see
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we have our cell reference notation for a range here
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we wanna sum up the values from cell C2
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all the way to C13
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I'll close out the parentheses and hit enter
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and we get that sum right there
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as we've seen before
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we can always click on the formula bar
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and get that color coded information
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to double check and make sure that we're summing up
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the full sets of numbers there
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so here's our first function
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the sum function
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and it's already saved us a lot of time
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because we don't have to keep
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adding all these cells together
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even though it's only 12 values
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speaking of 12 values
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we know if we're going to calculate the average
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we need to divide this sum
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by that total number of values
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we know it's twelve
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but we can and should
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also use a tool to help us with that
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because maybe in the future
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we're going to add more values to the spreadsheet
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it's not always going to be 12
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so we might want to count
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use the count function to tally up all those for us
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so that we're always updated with how many
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observations we have in our data set
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then finally
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now that we have this information
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we know that we can divide the sum
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using the slash sign for division
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by the counts to come up with our average value
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so what we see here is we see that average value
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our average low temperature for a month
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is 48.7 degrees Fahrenheit in the area where I live
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across the entire year
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but you'll notice that I still used this mathematical
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arithmetic way of writing this equation
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but just like we have a sum function
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and we have a count function
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we also have an average function
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and so just by typing in average and then again
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putting in the correct information in the parentheses
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we can skip all of these steps
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and we can get that same exact
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exact value
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that average value of 48.7 degrees
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so each one of these little things I was showing you
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each one of these functions
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the sum function
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the count function
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the average function
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is saving us additional time and a diff
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additional effort
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and really importantly
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it's saving us the opportunity to be making mistakes
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these are called functions
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we're gonna be using a lot of them in Excel
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and you see that
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I was referring to cell referencing again
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and so we're starting to see that
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useful information that we've acquired
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that knowledge that we've acquired
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about cell referencing
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coming back into play
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we're gonna use a lot more of it in a minute
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when we explore more
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about how to use functions in Excel
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