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Median
Here is a technical definition of the “median”:
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
What is the Median?
Median
Here is a technical definition of the “median”:
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
What does this phrase mean?
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
Here’s an example:
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
Here’s an example:
5
6
4 83 10
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
28
54 8
3 54
13
3
25
10
Here’s an example:
6
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
Here’s an example:
5
6
4 83 10
283 54
13
25
In the first data set, there are two
observations to the left of the MEDIAN “5”
and two observations to the right of the MEDIAN.
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
Here’s an example:
5
6
8 10
283 54
13
25
In the first data set, there are two
observations to the left of the MEDIAN “5”
and two observations to the right of the MEDIAN.
43
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
Here’s an example:
5
6
43
283 54
13
25
8 10
In the first data set, there are two
observations to the left of the MEDIAN “5”
and two observations to the right of the MEDIAN.
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
Here’s an example:
5
6
4 83 10
283 54
13
25
In the second data set, there are also two
observations to the left of “5” of the MEDIAN
and two observations to the right of the MEDIAN.
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
Here’s an example:
5
6
4 83 10
285
13
25
In the second data set, there are also two
observations to the left of “5” of the MEDIAN
and two observations to the right of the MEDIAN.
3 4
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
Here’s an example:
5
6
4 83 10
3 54
13
In the second data set, there are also two
observations to the left of “5” of the MEDIAN
and two observations to the right of the MEDIAN.
2825
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
In the first data set, there are two
observations to the left of the MEDIAN “5”
and two observations to the right of the MEDIAN.
In the second data set, there are two
observations to the left of “5” of the MEDIAN
and two observations to the right of the MEDIAN.
Here’s an example:
5
6
4 83 10
283 54
13
25
Therefore, “5” is the
median for both data sets because the same
number of observations that are above BOTH
MEDIANS are also below BOTH MEDIANS.
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
In the first data set, there are two
observations to the left of the MEDIAN “5”
and two observations to the right of the MEDIAN.
In the second data set, there are two
observations to the left of “5” of the MEDIAN
and two observations to the right of the MEDIAN.
Here’s an example:
5
6
4 83 10
283 54
13
25
Therefore, “5” is the
median for both data sets because the same
number of observations that are above BOTH
MEDIANS are also below BOTH MEDIANS.
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
In the first data set, there are two
observations to the left of the MEDIAN “5”
and two observations to the right of the MEDIAN.
In the second data set, there are two
observations to the left of “5” of the MEDIAN
and two observations to the right of the MEDIAN.
Therefore, “5” is the
median for both data sets because the same
number of observations that are above BOTH
MEDIANS are also below BOTH MEDIANS.
Here’s an example:
5
6
4 83 10
283 54
13
25
Both data sets have the same median, even
though the mean is “6”in the first and “13” in the second data set.
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
In the first data set, there are two
observations to the left of the MEDIAN “5”
and two observations to the right of the MEDIAN.
In the second data set, there are two
observations to the left of “5” of the MEDIAN
and two observations to the right of the MEDIAN.
Therefore, “5” is the
median for both data sets because the same
number of observations that are above BOTH
MEDIANS are also below BOTH MEDIANS.
Here’s an example:
54 83 10
283 54
25
Both data sets have the same median, even
though the mean is “6”in the first and “13” in the second data set.
6
13
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
Here’s an example:
5
6
4 83 10
283 54
13
25
Hence, the median is a most stable estimate of
the central tendency because it is based on the
unweighted scores.
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
5
6
4 83 10
Here’s an example:
283 54
13
25
Extremely low or high scores are treated the
same as moderate scores.
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
5
6
4 8
54
13
3
25
10
Here’s an example:Extremely low or high scores are treated the
same as moderate scores.
328
What is the Median?
“The median represents the observation that divides the sample into halves regardless of the weight of the observations”.
28
5
6
4 8
3 54
13
25
Here’s an example:Extremely low or high scores are treated the
same as moderate scores.
3 10
What is the Median?
Note
In contrast, the mean is a less stable estimate of the central tendency because it is based on weighted scores.
What is the Median?
Note
In contrast, the mean is a less stable estimate of the central tendency because it is based on weighted scores.
The Mean
Weighted Scores
What is the Median?
Note
Where as the Median does not weight the scores and therefore is not influenced by extreme scores.
What is the Median?
Note
Where as the Median does not weight the scores and therefore is not influenced by extreme scores.
The Median
Unweighted Scores
Not as influenced by extreme scores
What is the Median?