mean
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Mode. Mean. Range. Median. WHAT DO THEY ALL MEAN?. A number that helps describe a set of data is an AVERAGE! Sometimes called a MEASURE OF CENTRAL TENDANCY. ALL OF THESE ARE AVERAGES:. MEAN MEDIAN MODE. We use the word the wrong way when we ask a teacher, “What’s my average?”. - PowerPoint PPT PresentationTRANSCRIPT
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WHAT DO THEY ALL MEAN?
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A number that helps describe a set of data is an AVERAGE!AVERAGE!
Sometimes called a
MEASURE OF MEASURE OF CENTRAL TENDANCYCENTRAL TENDANCY
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ALL OF THESE ARE AVERAGES:
•MEAN
•MEDIAN
•MODE
We use the word the wrong way when we ask a teacher, “What’s my average?”
What we should say is, “What’s my mean?”
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MeanThis is what we usually mean when we say “What’s my average.”
We could say, “What grade do I normally get?”
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How is the mean of a set of numbers found?
• Add all the numbers in the set together.
• Divide the sum by the number of data items in the set.
• The quotient is the mean of the set of numbers.
• Example: 10, 18, 12 and 16– Add 10 + 18 + 12 + 16 = 56– Divide 56 by 4– The mean is 14
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Median
• Is the number that is in the middle of a set of numbers.
• Half the numbers are below the median and Half the numbers are above the median
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How is the median of a set of numbers found?
• Arrange the numbers in the set in order from least to greatest.
• The middle number is the median of a set of numbers.
• If more than one number is in the middle of the set of numbers, the mean of those two numbers is the median of the set of numbers.
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Your grades on five tests:
95, 87, 92, 100, and 85
Put them in order from least to greatest
85, 87, 92, 95, 100
The middle number is the median
Your median test grade is 92 – half the time you score below 92 and half the time above 92
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Your grades on six tests:
95, 85, 87, 92, 100, and 94
Put them in order from least to greatest
85, 87, 92, 94, 95, 100
The middle is between 2 numbers
The median is the mean of 92 and 94
Or
92 + 94 = 186
186 divided by 2 = 93
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ModeThe number in a data set that occurs most often
Your grades: 95, 87, 85, 100, 100
Your mode is 100
Most of the time you get a 100
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How do I identify the mode of a set of numbers?
• Arrange the set of numbers in order from least to greatest.
• The number that occurs the most often is the mode of that set of numbers.
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You don’t have to have a mode…….
Some data sets have no mode or no number that occurs more than others
Some might have two modes
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Another way to describe data
Asks the Question:
How spread out is my data?
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How is the range of a set of numbers identified?
• Arrange the numbers in the set in order from least to greatest.
• Subtract the lowest number from the highest number in the set of numbers.
• The difference of the two numbers is the range of a set of numbers.
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Back to your test Scores:
95, 87, 92, 100, and 94
Your highest score is a 100
Your lowest score is 87
Your range is 100 – 87 = 13
The range = 13
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It’s Time To Practice!Number of pets owned by 7 students:
2, 1, 1, 4, 3, 2, 1
What is the mean 2
What is the median 2
What is the Mode 1
What is the Range 3
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4 ways to describe dataThe Mean – what we usually think of as the average…..
The Median – The middle number in a data set…..50% of the numbers are above and 50% are below the median
The Mode – The number that occurs most often…..
The Range – the difference between the smallest and bigest number…..