3-1 6th grade math

1
3-16th grade math

• Mean, Median, Mode and Range

2
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.

3
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.

4
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

5

• 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

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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

7
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

8
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

9
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

10
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

11

• 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

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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.

13
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.