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3-16th grade math

- Mean, Median, Mode and Range

Objective

- To compute the mean, median, mode, and range of

data sets - Why? To find the measures of central tendency as

useful ways of analyzing a collection of data. To

find out more about how the data works. To find

out if the data together is statistically

supportive.

California State Standards

- SDP 1.1 Compute the range, mean, median,

and mode of data sets. - SDP 1.4 Know why a specific measure of central

tendency (mean, median, mode) provides the most

useful information in a given context. - MR 1.0 To make decisions about how to approach

problems.

Vocabulary

- Measures of Central Tendency
- The mean, median, and mode in a collection of

data when the data are arranged in order from

least to greatest. - Data Sets
- Sets of information
- Test scores, batting averages, inventory at a

clothing store, etc. - Outliers
- A number in a data set that is very different

from the rest of the numbers - 50, 88, 90, 90, 93, 95 outlier is 50

- Mean
- The average of the numbers in a set of data.

This type of statistic is most mathematical.

(CMT) - 88, 90, 95 273 3 91
- Median
- The middle number or average of the two middle

numbers in a collection data when the data are

arranged in order from least to greatest. This

type of statistic helps you find the middle of a

data set to help understand above and below the

average. (CMT) - 88, 90, 95 90
- 88, 90, 93, 95 90 93 183 2 91.5
- Mode
- The number(s) that occur often in a set of data.

This type of statistical data help you to know if

you have too much of one value. (CMT) - 88, 90, 90, 93, 95 90
- Range
- The difference between the greatest and least

numbers in a set of data. This helps you to

understand the range of numbers. - 88, 90, 90, 93, 95 95 88 7

How to Find the Mean

- 90, 89, 90, 100, 95, 100, 104, 100
- 1) Arrange data in order from least to greatest
- 2) Add all numbers.
- 3) Divide by the amount of numbers in the data

set. (If you round the answer, use or )

- 89, 90, 90, 95, 100, 100, 100, 104
- 768
- 768 8
- 96.0

How to Find the Median

- 90, 89, 90, 100, 95, 100, 104, 100
- Arrange the numbers in order from least to

greatest - Find the middle of the set.
- If the set has an odd number of values, you will

land on a middle value. - If the set has an even number of values, you will

land on two middle values. You must add those

two number as and then divide by 2.

- 89, 90, 90, 95, 100, 100, 100, 104
- 195 2
- 97.5
- Or
- 98

How to Find the Mode

- 90, 89, 90, 100, 95, 100, 104, 100
- Arrange the numbers in order from least to

greatest. - Look for any value that is repeated more than any

other value in the data set. - There doesnt always need to be a mode.

- 89, 90, 90, 95, 100, 100, 100, 104
- 90 has 2 values
- 100 has 3 values
- 100 is the mode

How to Find the Range

- 90, 89, 90, 100, 95, 100, 104, 100
- Arrange the numbers in order from least to

greatest. - Subtract the lowest value from the highest
- Check your work

- 89, 90, 90, 95, 100, 100, 100, 104
- 104 89 15
- Range 15

Try It!

- 1)
- Mean 12 14 22 16 18 82
- 82 5 16.4
- Median 12, 14, 16, 18, 22
- 16
- Mode none
- Range 22-12 10
- 2)
- Mean 3 3 3 4 5 5 5 12 40
- 40 8 5
- Median 3, 3, 3, 4, 5, 5, 5, 12
- 4 5 9
- 9 2 4.5
- 4.5
- Mode 3 and 5
- Range 12-3 9

- Find the mean, median, mode and range for each

data set. - 12, 14, 22, 16, 18
- 3, 3, 3, 4, 5, 5, 5, 12

- 3)
- Mean 1.2 3.6 5.4 2.4 3 4.2
- 19.8 6
- 3.3
- Median 1.2 2.4 3 3.6 4.2 5.4
- 3 3.6 6.6
- 6.6 2 3.3
- Mode none
- Range 5.4 1.2 4.2
- 4)
- Mean 37 40 42 45 49 39 252 6 42
- Median 37 39 40 42 45 49
- 40 42 82
- 82 2 41
- Mode none
- Range 49-37 8

- Find the mean, median, mode and range for each

data set. - 3) 1.2, 3.6, 5.4, 3, 2.4, 4.2
- 4) 45, 49, 40, 37, 39, 42

Objective Review

- To compute the mean, median, mode, and range of

data sets.

- Why? You now can find the measures of central

tendency as useful ways of analyzing a collection

of data. You can also find out more about how the

data works. You can now know if the data together

is statistically supportive.

Independent Practice

- Complete problems 6-11
- 13-18
- Label MEAN, MEDIAN, MODE, RANGE.
- Show all work!

- If time, complete Mixed Review 20-28
- If still more time, work on Accelerated Math.