Mean, Median, Mode, Range … · Mean, Median, Mode, Range. 11.4centraltendencyandrange.notebook 2...

11.4centraltendencyandrange.notebook

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Mean, Median, Mode, Range


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Mean ModeMedian

Range


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?

??

Measures of central tendency :ways to identify one number that characterizes a group of numbers

4

8

12

16

5

11

3?mean median

moderange


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Example:8, 10, 6, 9, 8, 7

8 + 10 + 6 + 9 + 8 + 7= 48

48 ÷ 6 = 8 Mean = 8

Mean the sum of a set of numbers divided by the total number of numbers in the set

Example underneath


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Mean

Step 1: Add all the data.

Step 2: Divide the sum by the number of addends.

Sue's Test ScoresTEST 1 2 3

SCORE 80 70 90

80 + 70 + 90 = 240

240 3 = 80..__

Mean is80


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Mean Find the mean for each set of data.

1. 26, 20, 23, 24, 27 __________

2. 171, 109, 128, 144 __________

3. 783, 248, 691 __________

Drag box totarget to check answers.

24

138

574


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Set #116, 20, 18, 14, 17 17

Set #217, 31, 29, 42, 17, 36, 24 28

Find the mean of the following two sets of data:

Answer underneath

Answer underneath


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Mean (Average)

To find the mean, you _____ up all the numbers and then ______ by how many

______ you had.

adddivide

numbers

Find the mean of the set of numbers.14 26 39 30


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Which sets will have a mean of 4?

2, 1, 4, 4, 7 1, 5, 3

6, 2, 4, 0, 84, 1, 4, 3

3, 3, 6, 6

Drop correct sets in the basket.


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Median the middle number of a set of numbers (numbers must be put in order)

Example: 8, 10, 6, 9, 8, 7

6, 7, 8, 8, 9, 106, 7, 8, 8, 9, 106, 7, 8, 8, 9, 10

Median = 8

Example underneath


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Median

Step 1: Arrange the numbers in order.

Step 2: Find the number in the middle.

Magazines Sold

Week 1 2 3 4 5

Number 180 150 175 160 225

150, 160, 175, 180, 225

150, 160, 175, 180, 225

The medianis 175.


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Match the median with the correct set of data.

Click to return to main menu.

Median


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Set #116, 20, 18, 14, 17 17

Set #217, 31, 29, 42, 17, 36, 24 29

Find the median of the following two sets of data:

Answer underneath

Answer underneath


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Median special case

What if there are two medians?

13, 7, 17, 19, 7, 15, 11, 7

7, 7, 7, 11, 13, 15, 17, 19

Find the mean of the two numbers: 11 + 13 = 24

Divide by 2: 24 ÷ 2 = 12

Median = 12


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Median

To find the median, first write the numbers in _____. Then find the ______ number or the _______ of the two middle numbers.orderaverage

middle

Ex: Find the median of the set of numbers.32 3536 37 414151 53


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8 appears 2 times in this set of data the other numbers only

occur once Mode = 8

Example: 8, 10, 6, 9, 8, 7

Mode the number that appears most often

Example underneath


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Step 1: Arrange the data in order from least to greatest.

Step 2: The mode is the number that occurs the most often. There may be one mode, morethan one mode, or no mode.

Mode Money Spent on Gifts

NameTony

Kara Lisa Ray Jay

Money $5 $9 $4 $6 $5

$4, $5, $5, $6, $9

$4, $5, $5, $6, $9

MODE


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Mode


Find the MODE for each set of data. Drag the correct answer out of the answer box into the checker tool.

1. 124, 130, 100, 122, 124

Answer Boxes Checker Tools

130

100

122

2. 202, 213, 315, 285, 285202

213

315

3. 9, 6, 5, 9, 11 5

116


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Find the mode of the following two sets of data:

Set #116, 20, 18, 14, 17, 18 18

Set #217, 31, 29, 42, 17, 36, 24 17

Answer underneath

Answer underneath


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You can also have no mode or more than one mode.

If no number occurs more than once, there will be no mode.

If more than one number occurs the most, there can be more than one mode.

4, 7, 2, 9, 5, 1, 0 No mode

11, 9, 3, 4, 2, 4, 9, 6, 7 Mode = 4 and 9


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Range How do I find the range?

Click star to see example.

Step 1: Order the data from least to greatest.

Step 2: Subtract the smallest number from the greatest number to find the range.


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Range

To find the range of a set of numbers, first put the numbers in order. Then ______ the ______ number from the ______ number. smallest largest

subtract

Ex: Find the range of the set of numbers.

324936 37 4151


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Example: 8, 10, 6, 9, 8, 7 Largest = 10 Smallest = 6 10 6 = 4 Range = 4

Range the smallest number subtracted from the largest number

Example underneath


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Find the range of the following data set:

4, 6, 2, 8, 9, 3, 7, 5, 1

Step 1: 1, 2, 3, 4, 5, 6, 7, 8, 9

Step 2: 91=8


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How do I find the range?

Step 1: Order the numbers from least to greatest.

Step 2: Subtract the smallest value from the largest value.

Magazines Sold

Week 1 2 3 4 5

Number 180 150 175 160 225

Step 1: 150, 160, 175, 180, 225

Step 2: 225150=75


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Range

Step 1: Order the data from least to greatest.

Step 2: Subtract the smallest number from the greatest number to find the range.

Test Scores

Name Tony Kara Lisa Ray Jay

Score 85 95 83 97 89

83, 85, 89, 95, 97

83, 85, 89, 95, 97smallest number

largest number

97 83 =14

RANGE


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Set #116, 20, 18, 14, 17 6

Set #217, 31, 29, 42, 17, 36, 24 25

Find the range of the following two sets of data:

Answer underneath

Answer underneath


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pg 594596 #'s 1,2,4,58,11,22,23


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pg 594596 #'s 1,2,4,58,11,22,23

1. 23,19,18,29

2. 9,9,none,16

4. D

5. 12,9,8,12

6. 12.8,14,none,18

Answers are in order of mean, median, mode, and range

7. 79.3,79.5,84,11

8. 34,34,34,8

11. 91%

22. C

23. J


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Range Answer the 3 practice questions below.



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Mean, Median, Mode, Range … · Mean, Median, Mode, Range. 11.4centraltendencyandrange.notebook 2...

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