 Decide if it’s a permutation or a combination, then find how many are possible:  Your class is having an election. There are 7 candidates, and they are each running for president, vice president, secretary, and treasurer. How many different executive boards are possible?  The 3 students who did not win office decided to run for representative with 12 other students. If there are 10 representative positions available, how many different student councils are possible?

 Another word for average  Also called “x-bar” (especially when we talk about statistics)  You find this by adding up all the numerical data in a set and dividing it by the number of data entries in the set

 Find the Mean for the following set:  48, 23, 97, 36, 27, 72, 48, 41, 58  =450  450/9=50, so 50 is the mean

Find x bar for the following set: 420, 360, 398, 196, 398, 400 A.) 300 B.) 312 C.) 362 D.) 398 E.) 400

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 After numbers are written in numerical order, the median is the middle number  Does it matter if the numbers increase or decrease?  We normally write them in increasing order, but it doesn’t actually matter

 Find the median of this set:  48, 23, 97, 36, 27, 72, 48, 41, 58  Remember the first step is to list in order:  23, 27, 36, 41, 48, 48, 58, 72, 97  There are 9 numbers, so the 5 th number is the middle: 48 is the median

Find the median of the set: 420, 360, 398, 196, 398, 400 A.) 360 B.) 362 C.) 196 D.) 400 E.) :00:28

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 The most frequent number or numbers  There can be no mode  There can be multiple modes

 Find the mode of this set of data  48, 23, 97, 36, 27, 72, 48, 41, 58  The only repeated number is 48, so this must be the mode!

 Find the mode:  4, 9, 2, 5, 10, 7, 1, 8, 3, 6  Since no number is repeated, there is no mode

Find the mode or modes, if any: 420, 360, 398, 196, 398, 400 A.) 420 B.) 398 C.) 360 D.) 400 and 298 are both modes E.) No mode

 The 5 number summary describes the minimum, the maximum, Q1, the median (or Q2), and Q3  What is all this Q stuff?

 When I say Q1, I mean Quartile 1  What does quartile sound like?  Quarter- when we split up a data set into 4 parts, we have 4 quarters. The separating number is call the quartile.  Q2 is the median of the set  Q1 is the median of the 1 st half of the set  Q3 is the median of the 2 nd half of the set

 Given the set 4, 9, 2, 5, 10, 7, 1, 8, 3, 6  The first step is to write them in order  The next step is to find the median, This is Q2  Because it falls between 2 numbers, the median is the average of 5 and 6.  Next find the median of each side of the median  Identify the min and max  Lastly list the minimum, Q1, Q2,Q3, and the maximum to get the 5 number summary  1, 3, 5.5, 8, | Q3Q1 Q2 MIN MAX

Find the 5 number summary for the set: 420, 360, 398, 196, 398, , 360, 398, 398, 400, 420 A.) 420, 398, 398, B.) 196,360, 398, 398, 400 C.) 420, 400, 398, 196 D.) 196, 360, 398, 400, 420 E.) 196, 420

 Box and whisker plot  Take the set of data from the last example, and look at the 5 number summary: 1, 3, 5.5, 8, 10  On a number line, plot these 5 numbers  Draw a box around Q1 and Q3  Draw a line through Q2  Draw lines connecting the min to Q1 and the max to Q3 Q3Q1Q2MIN MAX

 Also called range  It is the difference between the minimum and the maximum. (always positive!)  In our set of data the min was 1 and the max was 10  The difference is 10-1=9, so our range is 9

 IQR  The difference between Q3 and Q1  In our set 3 was Q1 and 8 was Q3, so the IQR=8-3=5  This will always be a positive number!!

Find the range of the data set: 420, 360, 398, 196, 398, 400 A.) 224 B.) 200 C.) 400 D.) 196 E.) 38

Find the IQR for the following data set: 420, 360, 398, 196, 398, 400 A.) 420 B.) 40 C.) 38 D.) 224 E.) 196