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Mean, Median, Mode and Range

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Mean, Median, Mode and Range The Basics of Statistics Did You Know That you probably use Statistics such as Mean, Median, Mode and Range almost every day without ... – PowerPoint PPT presentation

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Title: Mean, Median, Mode and Range


1
Mean, Median, Mode and Range
  • The Basics of Statistics

2
Did You Know
  • That you probably use Statistics such as Mean,
    Median, Mode and Range almost every day without
    even realizing it?!?

3
Today We Will Learn
  • Mean
  • Median
  • Mode
  • Range
  • And how to use these in everyday life, as well as
    the classroom!

4
To Help You Learn
  • You should have a Pencil, a Piece of Paper, and a
    Calculator if you need one.

5
What Do We Already Know?
  • Sure, the words Mean, Median, Mode and Range
    all sound confusing
  • But what about the words we already know, like
    Average, Middle, Most Frequent, and Difference?
  • They are all the same ideas!

6
Mean
  • The mean is the Average of a group of numbers
  • It is helpful to know the mean because then you
    can see which numbers are above and below the
    mean
  • It is very easy to find!

7
Mean Example
  • Here is an example test scores for Ms. Maths
    class.
  • 82 93 86 97 82
  • To find the Mean, first you must add up all of
    the numbers.
  • 8293869782 433
  • Now, since there are 5 test scores, we will next
    divide the sum by 5.
  • 4405 88
  • The Mean is 88!

8
Median
  • The Median is the middle value on the list.
  • The first step is always to put the numbers in
    order.

9
Median Example
  • First, lets examine these five test scores.
  • 78 93 86 97 79
  • We need to put them in order.
  • 78 79 86 93 97
  • The number in the middle is 86
  • 78 79 86 93 97
  • In this case, the Median is 86!

10
Median Example 2
  • Now, lets try it with an even number of test
    scores.
  • 92 86 94 83 72 88
  • First, we will put them in order
  • 72 83 86 88 92 94
  • This time, there are two numbers in the middle,
    86 and 88
  • 72 83 86 88 92 94
  • Now we will need to find the Average of these two
    numbers, by adding them and dividing by two.
  • 8688 174 1742 87
  • Here the Median is 87

11
Mode
  • The Mode refers to the number that occurs the
    most frequently.
  • Its easy to remember the first two numbers are
    the same! MOde and MOst Frequently!

12
Mode Example
  • Here is an list of temperatures for one week.
  • Mon. Tues. Wed. Thurs. Fri. Sat.
    Sun.
  • 77 79 83 77 83
    77 82
  • Again, We will put them in order.
  • 77 77 77 79 82 83 83
  • 77 is the most frequent number, so the mode 77

13
Range
  • The range is the difference between the highest
    and the lowest numbers of the series.
  • All we have to do is put the numbers in order and
    subtract!

14
Range Example
  • Lets look at the temperatures again.
  • 77 77 77 79 82 83 83
  • The highest number is 83, and the lowest is 77.
  • All you need to do is subtract!
  • 83-77 6
  • In this case, the Range is 6

15
__ __ __ _
16
Now YOU try it!!!
This is the Stat Family!
Dad Mom Jack Alex Katie 34 33 5 5
1
17
Mean
  • Here are the ages again
  • Dad- 34, Mom- 33, Jack- 5, Alex- 5, Katie- 1
  • What is the Mean?
  • Remember Mean is the AVERAGE
  • Try it on your paper and see what you come up
    with!

18
Mean
  • Remember, to find the mean, we have to first add
    up all of the numbers.
  • 3433551 80
  • Then, since there are 6 people in the family, we
    next divide by 6.
  • 786 13
  • The Mean in this case is 13

19
Median
  • Here are the ages again
  • Dad- 34, Mom- 33, Jack- 5, Alex- 5, Katie- 1
  • What is the Median?
  • Remember Median is the MIDDLE NUMBER
  • Try it on your paper and see what you come up
    with!

20
Median
  • Remember, to find the mean, we have to first put
    all of the numbers in order.
  • 34 33 5 5 1
  • The Mean in this case is 5

21
Mode
  • Here are the ages again
  • Dad- 34, Mom- 33, Jack- 5, Alex- 5, Katie- 1
  • What is the Mode?
  • Remember Mode is the MOST FREQUENT
  • Try it on your paper and see what you come up
    with!

22
Mode
  • Remember, to find the mode, we have to first put
    all of the numbers in order.
  • 34 33 5 5 1
  • The Mode in this case is 5

23
Range
  • Here are the ages again
  • Dad- 34, Mom- 33, Jack- 5, Alex- 5, Katie- 1
  • What is the Range?
  • Remember Range is the DIFFERENCE
  • Try it on your paper and see what you come up
    with!

24
Range
  • Remember, to find the range, we have to first put
    all of the numbers in order.
  • 34 33 5 5 1
  • The highest age is 34, and the lowest is 1
  • Now we need to subtract to find the difference
  • 34-1 33
  • The range is 33

25

26
Next, Try it at home with your Family!
27
To practice more, or to go for more help, then
try some of these websites!
  • http//www.bbc.co.uk/schools/revisewise/maths/data
    /12_act.shtml
  • http//www.mathgoodies.com/lessons/toc_vol8.shtm
  • http//math.about.com/library/weekly/aa020502a.htm
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