Mean, Median, Mode & Range

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Presentation transcript:

Mean, Median, Mode & Range

6 + 9 = 15 Vocabulary Review Sum – the answer to an addition problem. Addend – the numbers you added together to get the sum. 6 + 9 = 15

Definition Mean Means Average

2, 5, 2, 1, 5 Definition Mean – the average of a group of numbers.

Mean is found by evening out the numbers 2, 5, 2, 1, 5

Mean is found by evening out the numbers 2, 5, 2, 1, 5

Mean is found by evening out the numbers 2, 5, 2, 1, 5 mean = 3

8, 10, 12, 18, 22, 26 8+10+12+18+22+26 = 96 How to Find the Mean Step 1 – Add all of the numbers (data). 8, 10, 12, 18, 22, 26 8+10+12+18+22+26 = 96

How many addends are there? How to Find the Mean 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?

How to Find the Mean Step 2 – Divide the sum by the number of addends. 1 6 6) 96 # of addends sum 6 3 6 3 6

How to Find the Mean The mean or average of these numbers is 16. 8, 10, 12, 18, 22, 26

What is the mean of these numbers? 7, 10, 16 11

What is the mean of these numbers? 2, 9, 14, 27 13

What is the mean of these numbers? 1, 2, 7, 11, 19 8

What is the mean of these numbers? 26, 33, 41, 52 38

Definition Median is in the Middle

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

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

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

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.

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

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 21+ 25 = median 23 2) 46

What is the median of these numbers? 16, 10, 7 7, 10, 16 10

What is the median of these numbers? 29, 8, 4, 11, 19 4, 8, 11, 19, 29 11

What is the median of these numbers? 31, 7, 2, 12, 14, 19 2, 7, 12, 14, 19, 31 13 2) 12 + 14 = 26 26

What is the median of these numbers? 53, 5, 81, 67, 25, 78 5, 25, 53, 67, 78, 81 60 2) 53 + 67 = 120 120

Definition Mode is the most Popular

Definition A la mode – the most popular or that which is in fashion. Baseball caps are a la mode today.

Definition Mode – the number that appears most frequently in a set of numbers. 1, 1, 3, 7, 10, 13 Mode = 1

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

How to Find the Mode in a Group of Numbers Step 2 – Find the number that is repeated the most. There CAN be more than one mode. 21, 18, 24, 19, 18 18, 18, 19, 21, 24

How to Find the Mode in a Group of Numbers Step 3 – If there is not one number that appears more often than others, then there is NO MODE!

Which number is the mode? 29, 8, 4, 8, 19 4, 8, 8, 19, 29 8

Which number is the mode? 1, 2, 2, 9, 9, 4, 9, 10 1, 2, 2, 4, 9, 9, 9, 10 9

Which number is the mode? 22, 21, 27, 31, 21, 32 21, 21, 22, 27, 31, 32 21

Definition Range is the distance Between

Definition Range – the difference between the greatest and the least value in a set of numbers. 1, 1, 3, 7, 10, 13 Range = 12

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

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

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 = 9 The range is 9

What is the range? 29, 8, 4, 8, 19 4, 8, 8, 19, 29 29 – 4 = 25

What is the range? 22, 21, 27, 31, 21, 32 21, 21, 22, 27, 31, 32 32 – 21 = 11

What is the range? 31, 8, 3, 11, 19 3, 8, 11, 19, 31 31 – 3 = 28

What is the range? 23, 7, 9, 41, 19 7, 9, 23, 19, 41 41 – 7 = 34

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