3-1 6 th grade math

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

How to Find the Mean90, 89, 90, 100, 95, 100,

104, 1001) Arrange data in order

from least to greatest2) 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 Median90, 89, 90, 100, 95, 100, 104,

1001) Arrange the numbers in

order from least to greatest2) Find the middle of the set.3) If the set has an odd

number of values, you will land on a middle value.

4) 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.

How to Find the Mode90, 89, 90, 100, 95, 100,

104, 1001) Arrange the numbers in

order from least to greatest.

2) Look for any value that is repeated more than any other value in the data set.

3) There doesn’t always need to be a mode.

89, 90, 90, 95, 100, 100, 100, 104

90 has 2 values100 has 3 values

100 is the mode

How to Find the Range90, 89, 90, 100, 95, 100,

104, 1001) Arrange the numbers in

order from least to greatest.

2) Subtract the lowest value from the highest

3) Check your work

89, 90, 90, 95, 100, 100, 100, 104

104 – 89 = 15

Range = 15

Try It!Find the mean, median, mode and

range for each data set.

1) 12, 14, 22, 16, 18

2) 3, 3, 3, 4, 5, 5, 5, 12

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.