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7th Grade Math Mean, Median, and Range Obj. 5b Central Tendency When you have a “set of data” (or numbers), there are 2 different ways you can find the center of the data. 1) 2) Mean Median Let’s look at these 2 different ways to find the center using the following… Set of Numbers: 2, 3, 1, 1, 0, 1, 2, 4 Mean = Average Your report card has an average on it. The Mean is the average. 2 simple steps will give you the mean of a set of numbers. Step 1 Step 2 Add the numbers. Divide by the # of items in the dataset. Mean = Average Step 1 Step 2 Add the numbers. Divide by the # of items in the dataset. Set of Numbers: 2, 3, 1, 1, 0, 1, 2, 4 Add the numbers: 2 + 3 + 1 + 1 + 0 + 1 + 2 + 4 = Divide by total items: 14 ÷ 8 = 1.75 Mean 14 Median = Middle What is the Median? The Median is the middle number. How do you find the Median? If there is just 1 middle #: your done! ORDER FIND the numbers. the middle #. If there are 2 middle #’s Median = Middle Average the 2 middle numbers. Example of Median If there is just 1 middle #: your done! ORDER FIND the numbers. the middle #. If there are 2 middle #’s Average the 2 middle numbers. Add the 2 middle numbers Set of Numbers: 2, 3, 1, 1, 0, 1, 2, 4 Arrange in order: 0, 1, 1, 1, 2, 2, 3, 4 1 + 2 = 3 3 ÷ 2 = 1.5 Median Then, Divide by 2 Range = Biggest – Smallest What is the Range? The Range is not a form of central tendency, but it is another way to get information from a “set of numbers”. The range describes the spread of the dataset. The Range is the difference between the biggest number and the smallest number. Range = Biggest - Smallest Example of Range Range = Biggest – Smallest Set of Numbers: 2, 3, 1, 1, 0, 1, 2, 4 Subtract: 4–0= 4 Range Remember.... Mean Average = Median = Middle Range = Biggest – Smallest You Try! Mandy’s math test scores: 90, 85, 80, 70, 90, 65 Determine the following: Mean Median Range _______ _______ _______ Answers! Mandy’s math test scores: 90, 85, 80, 70, 90, 65 65 70 80 85 90 90 Mean Median Range __80___ __82.5_ __25___ (find average of 80 & 85) Closure What did we learn today (key words): Mean = Median = Range = Average _________________ ? Middle_________________ ? Most _________________ ? Biggest – Smallest Which central tendency requires you to first put the numbers in order? Median When finding the median, what do you do if there are 2 middle numbers? Average the two middle numbers by adding them together and dividing by 2.