The document explains the concepts of mean and median in statistics, highlighting that the median is the middle value that divides a data set into two equal halves, while the mean is the average calculated by dividing the sum of all data points by the number of points. It provides examples to illustrate the calculation of both mean and median using different data sets. The document also addresses scenarios with odd and even numbers of data points, affecting the determination of median.

1. MEAN VS MEDIAN

2. MEDIAN
The median is the MIDDLE of a data set.
It’s the number that splits the data set into
two equally sized group or halves.
One half contains members that are
greater than or equal to median, and the
other half contains members that are less
than or equal to the median.

3. MEDIAN
MIDDLE

4. MEDIAN
{ 1, 2, 3, 6, 8 }
two halves

5. MEDIAN
{ 1, 2, 3, 6, 8 }
less greater

6. {3, 2, 1, 8, 6} orderless
in order
less greater
{1, 2, 3, 6, 8}

7. {46, 8, 52, 3,
1, 21, 45, 4, ,9,
77, 61, 5, 32,
84}

8. { 2, 1, 3 }
{ 1, 2, 3 }
switching
less greater

9. 01
{ 1, 2, 3 }
MEDIAN 2
MIDDLE
MEAN 2
Mean =
1 + 2 +3
3
Mean =
6
3
Mean = 2
DATA SET { 1, 2, 3 }

10. { 1, 2, 3, 6, 8 }
MEDIAN ? MEAN ?

11. MEDIAN
{ 1, 2, 3, 6, 8 }

12. MEAN ???

13. The Mean is the AVERAGE.
Mean can be calculated by dividing
sum of all data points by number of
data points.

14. MEAN = AVERAGE

15. Mean =
sum of all data points
number of data points

16. MEAN
Mean =
1 + 2 +3 + 6 + 8
5
Mean =
20
5
Mean = 4
DATA SET { 1, 2, 3, 6, 8 }

17. Data Set { 1, 2, 3, 6, 8 }
MEDIAN 3 MEAN 4

18. What if no
Middle?

19. { 1, 2, 3 }
{ 1, 2, 3, 6, 8 }
ODD
ODD

20. { 1, 2, 3, 4 } even
no middle

21. { 1, 2, 3, 4 }
MEDIAN
average or mean
?
median

22. { 1, 2, 3, 4 }
MEDIAN
average or mean = 2 + 3 = 5 / 2
average or mean = 2.5
= 2.5

23. { 1, 2, 3, 4 }
MEDIAN 2.5

24. { 1, 2, 3, 4 }
MEDIAN2.5
Middle 2.5

25. THANKS!