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Statistical
Landmarks
When we count, measure, ask questions, observe and
describe, the information we collect is called
data.
For
example, let’s collect the month that each member of
a baseball team was born. There are 9 players. The
months are:
8,
2, 5, 7, 2, 10, 4, 5, 1
Landmarks are used to describe the set of
data:
The
minimum is the smallest value of the data.
The
maximum is the largest value of the data.
The
range is the difference between the minimum
and the maximum.
The
mode is the value(s) that occurs most often.
The
median is the middle value (not the
average).
To find the median,
arrange the numbers from smallest to largest. Then,
start crossing the numbers off from each end of that
list.
1 2 2
4 5 5 7 9 10
The
mean is the average value.
To find the average, add
up all the numbers and divide that answer by the
number of numbers. In our example, the sum of all 9
numbers is: 45. Then divide 45 by 9. The mean is: 5
In
our example:
|
Minimum |
1 |
|
Maximum |
10 |
|
Range |
9 |
|
Mode |
2,5 |
|
Median |
5 |
|
Mean |
5 |
Note:
The mean and the median are not always the same !!!
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