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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?”.

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Mean

Mode

Mean

Range

Median

WHAT DO THEY ALL MEAN?


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

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?”


Mean

Mean

This is what we usually mean when we say “What’s my average.”

We could say, “What grade do I normally get?”


How is the mean of a set of numbers found

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


Median

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


How is the median of a set of numbers found

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.


Mean

Your grades on five tests:

95, 87, 92, 100, and 85

Put them in order from least to greatest

85, 87, 92, 95, 100

Your median test grade is 92 – half the time you score below 92 and half the time above 92

The middle number is the median


Mean

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 median is the mean of 92 and 94

Or

92 + 94 = 186

186 divided by 2 = 93

The middle is between 2 numbers


Mean

Mode

The 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


How do i identify the mode of a set of numbers

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.


Mean

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


Mean

RANGE

Asks the Question:

How spread out is my data?

Another way to describe data


How is the range of a set of numbers identified

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.


Mean

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


It s time to practice

It’s Time To Practice!

Number of pets owned by 7 students:

2, 1, 1, 4, 3, 2, 1

2

What is the mean

What is the median

2

1

What is the Mode

3

What is the Range


4 ways to describe data

4 ways to describe data

The 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…..


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