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Mean, Median, Mode

& RangeBy Group 5

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Vocabulary Review

• Sum – the answer to anaddition problem

• !ddend – the numbersyou added together toget the sum

6 + 9 = 15

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"e#nition

Mean

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"e#nition

• Mean – the average o$ agroup o$ numbers

2, 5, 2, 1, 5

Mean %

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Mean is $ound by evening

out the numbers

2, 5, 2, 1, 5

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Mean is $ound by evening

out the numbers2, 5, 2, 1, 5

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Mean is $ound by evening

out the numbers2, 5, 2, 1, 5

mean = 3

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'ow to (ind the Mean o$ aGroup o$ )umbers

• Step * – !dd all thenumbers

8, 10, 12, 18, 22, 26

8+10+12+18+22+26 = 96

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'ow to (ind the Mean o$ aGroup o$ )umbers

• Step + – "ivide the sum bythe number o$ addends

8, 10, 12, 18, 22, 26

8+10+12+18+22+26 = 96How many addends are there?

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'ow to (ind the Mean o$ aGroup o$ )umbers

• Step + – "ivide the sum bythe number o$ addends

6)96 sum# of addends1

636

6

63

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'ow to (ind the Mean o$ aGroup o$ )umbers

 he mean or average o$these numbers is *-

8, 10, 12, 18, 22, 26

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.hat is the mean o$ thesenumbers/

7, 10, 16

11

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.hat is the mean o$ thesenumbers/

2, 9, 1, 27

13

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.hat is the mean o$ thesenumbers/

1, 2, 7, 11, 19

8

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.hat is the mean o$ thesenumbers/

26, 33, 1, 52

38

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"e#nition

Median

is in the

Middle

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"e#nition

• Median – the middlenumber in a set o$ordered numbers

1, 3, 7, 10, 13

Median % 0

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'ow to (ind the Median ina Group o$ )umbers

• Step * – !rrange thenumbers in order $romleast to greatest21, 18, 2, 19, 27

18, 19, 21, 2, 27

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'ow to (ind the Median ina Group o$ )umbers

• Step + – (ind the middlenumber

21, 18, 2, 19, 27

18, 19, 21, 2, 27

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'ow to (ind the Median ina Group o$ )umbers

• Step + – (ind the middlenumber

18, 19, 21, 2, 27

!h"s "s your med"an numer$

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'ow to (ind the Median ina Group o$ )umbers

• Step – 1$ there are twomiddle numbers, #nd the

mean o$ these two numbers

18, 19, 21, 25, 27, 28

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'ow to (ind the Median ina Group o$ )umbers

• Step – 1$ there are twomiddle numbers, #nd the

mean o$ these two numbers21+ 25 = 6

2) 623 med"an

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.hat is the median o$these numbers/

16, 10, 7

10

7, 10, 16

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.hat is the median o$these numbers/

29, 8, , 11, 19

11

, 8, 11, 19, 29

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.hat is the median o$these numbers/

31, 7, 2, 12, 1, 19

132, 7, 12, 1, 19, 31

12 + 1 = 26 2) 26

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.hat is the median o$these numbers/

53, 5, 81, 67, 25, 78

60

53 + 67 = 120 2) 120

5, 25, 53, 67, 78, 81

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"e#nition

Mode

is the most

2opular

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"e#nition

•  mode – the most popularor that which is in$ashion

%asea&& 'a(s are mode today$

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"e#nition

• Mode – the number thatappears most $re3uently

in a set o$ numbers1, 1, 3, 7, 10, 13

Mode % *

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'ow to (ind the Mode in aGroup o$ )umbers

• Step * – !rrange thenumbers in order $romleast to greatest21, 18, 2, 19, 18

18, 18, 19, 21, 2

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'ow to (ind the Mode in aGroup o$ )umbers

• Step + – (ind the numberthat is repeated the most

21, 18, 2, 19, 18

18, 18, 19, 21, 2

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.hich number is themode/

29, 8, , 8, 19

8

, 8, 8, 19, 29

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.hich number is themode/

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

9

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

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.hich number is themode/

22, 21, 27, 31, 21, 32

21

21, 21, 22, 27, 31, 32

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"e#nition

Range

is the distance

Between

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"e#nition•

Range – the di4erencebetween the greatest andthe least value in a set o$

numbers

1, 1, 3, 7, 10, 13

Range % *+

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'ow to (ind the Range in aGroup o$ )umbers

• Step * – !rrange thenumbers in order $rom

least to greatest21, 18, 2, 19, 27

18, 19, 21, 2, 27

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'ow to (ind the Range in aGroup o$ )umbers

• Step + – (ind the lowestand highest numbers

21, 18, 2, 19, 27

18, 19, 21, 2, 27

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'ow to (ind the Range in aGroup o$ )umbers

• Step – (ind thedi4erence between these

+ numbers18, 19, 21, 2, 27

27 18 = 9!he ran*e "s 9

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.hat is the range/

29, 8, , 8, 19

29  = 25

, 8, 8, 19, 29

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.hat is the range/

22, 21, 27, 31, 21, 32

32 21 = 11

21, 21, 22, 27, 31, 32

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.hat is the range/

31, 8, 3, 11, 19

31 3 = 28

3, 8, 11, 19, 31

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.hat is the range/

23, 7, 9, 1, 19

1 7 = 3

7, 9, 23, 19, 1