1/9/2013 sponge mary purchased 6 apples for 1.26 and john purchased 8 for 1.96. which person had the...

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1/9/2013 Sponge

Mary purchased 6 apples for 1.26 and John purchased 8 for 1.96.

which person had the better rate?

Show your work

Mean and outliers 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.

6 + 9 = 15

Copyright © 2000 by Monica Yuskaitis

Definition

MeanMean

MeansMeans

AverageAverage

Copyright © 2000 by Monica Yuskaitis

Definition

•MeanMean – the average of a group of numbers.

2, 5, 2, 1, 5Mean = 3Mean = 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, 5mean = 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, 26

8+10+12+18+22+26 = 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, 26

8+10+12+18+22+26 = 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• 86+83+81=250(sum)

Copyright © 2000 by Monica Yuskaitis

• Subtract the sum you have from the total sum to find the missing number

• 340-240=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

Copyright © 2000 by Monica Yuskaitis

Copyright © 2000 by Monica Yuskaitis

Definition

MeMeddianian

is in theis in the

MiMiddddlele

• 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

Copyright © 2000 by Monica Yuskaitis

Definition•MedianMedian – the middle number in a set of ordered numbers.

1, 3, 7, 10, 13Median = 7Median = 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.

21+ 25 = 46

2) 46 23 median

Copyright © 2000 by Monica Yuskaitis

What is the median of these numbers?

16, 10, 7

10

7, 10, 16

Copyright © 2000 by Monica Yuskaitis

What is the median of these numbers?

29, 8, 4, 11, 19

114, 8, 11, 19, 29

Copyright © 2000 by Monica Yuskaitis

What is the median of these numbers?

31, 7, 2, 12, 14, 19

132, 7, 12, 14, 19, 31

12 + 14 = 26 2) 26

Copyright © 2000 by Monica Yuskaitis

What is the median of these numbers?

53, 5, 81, 67, 25, 78

6053 + 67 = 120 2) 120

5, 25, 53, 67, 78, 81

Copyright © 2000 by Monica Yuskaitis

Definition

ModeMode

is the number is the number that appears the that appears the

mostmost

Copyright © 2000 by Monica Yuskaitis

Definition•A la modeA la 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, 1, 3, 7, 10, 13Mode = 1Mode = 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, 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, 19

84, 8, 8, 19, 29

Copyright © 2000 by Monica Yuskaitis

Which number is the mode?

1, 2, 2, 9, 9, 4, 9, 10

9

1, 2, 2, 4, 9, 9, 9, 10

Copyright © 2000 by Monica Yuskaitis

Which number is the mode?

22, 21, 27, 31, 21, 32

21

21, 21, 22, 27, 31, 32

Copyright © 2000 by Monica Yuskaitis

DefinitionRange Range

is the distanceis the distance

Between the lowest Between the lowest number and the number and the highest numberhighest number

Copyright © 2000 by Monica Yuskaitis

Definition•RangeRange – the difference

between the greatest and the least value in a set of numbers.

1, 1, 3, 7, 10, 13Range = 12Range = 12

Range

•Subtract the lowest number from the highest number

Copyright © 2000 by Monica Yuskaitis

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, 27

27 – 18 = 9The range is 9

Copyright © 2000 by Monica Yuskaitis

What is the range?

29, 8, 4, 8, 19

29 – 4 = 25

4, 8, 8, 19, 29

Copyright © 2000 by Monica Yuskaitis

What is the range?

22, 21, 27, 31, 21, 32

32 – 21 = 11

21, 21, 22, 27, 31, 32

Copyright © 2000 by Monica Yuskaitis

What is the range?

31, 8, 3, 11, 19

31 – 3 = 28

3, 8, 11, 19, 31

Copyright © 2000 by Monica Yuskaitis

What is the range?

23, 7, 9, 41, 19

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.

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