1/9/2013 Sponge Mary purchased 6 apples for 1.26 and John purchased 8 for which person had the better rate? Show your work

Mean and outliers By A. Cherry Davis

Copyright © 2000 by Monica Yuskaitis Vocabulary Review Sum – the answer to an addition problem. Addend – the numbers you added together to get the sum = 15

Copyright © 2000 by Monica Yuskaitis Definition Mean Means Average

Copyright © 2000 by Monica Yuskaitis Definition MeanMean – the average of a group of numbers. 2, 5, 2, 1, 5 Mean = 3

Copyright © 2000 by Monica Yuskaitis Mean is found by evening out the numbers 2, 5, 2, 1, 5

Copyright © 2000 by Monica Yuskaitis Mean is found by evening out the numbers 2, 5, 2, 1, 5

Copyright © 2000 by Monica Yuskaitis Mean is found by evening out the numbers 2, 5, 2, 1, 5 mean = 3

Copyright © 2000 by Monica Yuskaitis How to Find the Mean of a Group of Numbers Step 1 – Add all the numbers. 8, 10, 12, 18, 22, = 96

Copyright © 2000 by Monica Yuskaitis How to Find the Mean of a Group of Numbers Step 2 – Divide the sum by the number of addends. 8, 10, 12, 18, 22, = 96 How many addends are there?

Copyright © 2000 by Monica Yuskaitis How to Find the Mean of a Group of Numbers The mean or average of these numbers is 16. 8, 10, 12, 18, 22, 26

When you are given the mean and need to find a missing number following these steps: Mean=85 86,83,81,____ (4 numbers) Look at how many numbers you have in your set Multiply the sum of the total numbers by the given mean (85 x 4=340) Add the numbers you know together =250(sum) Copyright © 2000 by Monica Yuskaitis

Subtract the sum you have from the total sum to find the missing number =90 (this is your missing number) Copyright © 2000 by Monica Yuskaitis

What is an outlier For a set of numerical data, any value that is markedly smaller or larger than other values. In other words: the number that does not go with the other numbers in data. 4,1,3,5,28 Outlier is 28 Copyright © 2000 by Monica Yuskaitis

How do outliers change your mean They can increase or decrease your mean. 4,1,3,5,28 The mean is 8.2 If we were to drop the outlier the mean is 2.6 You see the difference in having an outlier and not having one Copyright © 2000 by Monica Yuskaitis

1/11/2013 Sponge Find the mean 80,90,95,17 What is the outlier? Copyright © 2000 by Monica Yuskaitis

Definition Median is in the Middle

Place the numbers in order from least to greatest The number in the middle is the median. Copyright © 2000 by Monica Yuskaitis

Place the numbers in order from least to greatest When there are two numbers in the middle: Add them together and divide by 2 Copyright © 2000 by Monica Yuskaitis

Definition MedianMedian – the middle number in a set of ordered numbers. 1, 3, 7, 10, 13 Median = 7

Copyright © 2000 by Monica Yuskaitis How to Find the Median in a Group of Numbers Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 27 18, 19, 21, 24, 27

Copyright © 2000 by Monica Yuskaitis How to Find the Median in a Group of Numbers Step 2 – Find the middle number. 21, 18, 24, 19, 27 18, 19, 21, 24, 27

Copyright © 2000 by Monica Yuskaitis How to Find the Median in a Group of Numbers Step 2 – Find the middle number. 18, 19, 21, 24, 27 This is your median number.

Copyright © 2000 by Monica Yuskaitis How to Find the Median in a Group of Numbers Step 3 – If there are two middle numbers, find the mean of these two numbers. 18, 19, 21, 25, 27, 28

Copyright © 2000 by Monica Yuskaitis How to Find the Median in a Group of Numbers Step 3 – If there are two middle numbers, find the mean of these two numbers = 46 2)2) 23 median

Copyright © 2000 by Monica Yuskaitis What is the median of these numbers? 16, 10, , 10, 16

Copyright © 2000 by Monica Yuskaitis What is the median of these numbers? 29, 8, 4, 11, , 8, 11, 19, 29

Copyright © 2000 by Monica Yuskaitis What is the median of these numbers? 31, 7, 2, 12, 14, , 7, 12, 14, 19, = 26 2)2)

Copyright © 2000 by Monica Yuskaitis What is the median of these numbers? 53, 5, 81, 67, 25, = 120 2)2) 5, 25, 53, 67, 78, 81

Copyright © 2000 by Monica Yuskaitis Definition Mode is the number that appears the most

Copyright © 2000 by Monica Yuskaitis Definition Ala mode mode – the most popular or that which is in fashion. Baseball caps are a la mode today.

Copyright © 2000 by Monica Yuskaitis Definition ModeMode – the number that appears most frequently in a set of numbers. 1, 3, 7, 10, 13 Mode = 1

Copyright © 2000 by Monica Yuskaitis How to Find the Mode in a Group of Numbers Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 18 18, 19, 21, 24

Copyright © 2000 by Monica Yuskaitis How to Find the Mode in a Group of Numbers Step 2 – Find the number that is repeated the most. 21, 18, 24, 19, 18 18, 18, 19, 21, 24

Copyright © 2000 by Monica Yuskaitis Which number is the mode? 29, 8, 4, 8, , 8, 19, 29

Copyright © 2000 by Monica Yuskaitis Which number is the mode? 1, 2, 2, 9, 9, 4, 9, , 2, 4, 9, 10

Copyright © 2000 by Monica Yuskaitis Which number is the mode? 22, 21, 27, 31, 21, , 22, 27, 31, 32

Copyright © 2000 by Monica Yuskaitis Definition Range is the distance Between the lowest number and the highest number

Copyright © 2000 by Monica Yuskaitis Definition RangeRange – the difference between the greatest and the least value in a set of numbers. 1, 3, 7, 10, 13 Range = 12

Range Subtract the lowest number from the highest number Copyright © 2000 by Monica Yuskaitis

How to Find the Range in a Group of Numbers Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 27 18, 19, 21, 24, 27

Copyright © 2000 by Monica Yuskaitis How to Find the Range in a Group of Numbers Step 2 – Find the lowest and highest numbers. 21, 18, 24, 19, 27 18, 19, 21, 24, 27

Copyright © 2000 by Monica Yuskaitis How to Find the Range in a Group of Numbers Step 3 – Find the difference between these 2 numbers. 18, 19, 21, 24, – 18 = 9 The range is 9

Copyright © 2000 by Monica Yuskaitis What is the range? 29, 8, 4, 8, – 4 = 25 4, 8, 19, 29

Copyright © 2000 by Monica Yuskaitis What is the range? 22, 21, 27, 31, 21, – 21 = 11 21, 22, 27, 31, 32

Copyright © 2000 by Monica Yuskaitis What is the range? 31, 8, 3, 11, – 3 = 28 3, 8, 11, 19, 31

Copyright © 2000 by Monica Yuskaitis What is the range? 23, 7, 9, 41, – 7 = 34 7, 9, 23, 19, 41

Copyright © 2000 by Monica Yuskaitis Credits Clipart from ClickArt 125,000, T/Maker Company of Broderbund Software, Inc.

Copyright © 2000 by Monica Yuskaitis Credits Clipart from ClickArt 125,000, T/Maker Company of Broderbund Software, Inc.