Its Just of Educational Research Statistics and also for grouped data

1. Median
Presented by Umm-e-Habiba

2. The Median
 The second measure of central
tendencies
 The goal of the median is to locate the
midpoint of the distribution.
 There are no specific symbols or notions
to identify the median

3. Cont.…
 The median is simply identified by the
word median.
 In addition, the definition and the
computations for the median are identical
for a sample and for a population.

4. The Definition
 If the scores in a distribution are listed in
order from smallest to largest
 The median is the midpoint of the list
 More specifically, the median is the point
on the measurement scale below which
50% of the scores in the distribution are
located.

5. Finding the Median for most
distribution
 The scores are divided into equal-sized
group.
 We are not locating the midpoint from
highest to lowest X values
 To find the median, list the scores in order
from smallest to largest

6. Cont.…
 Begin with the smallest score and count
the score as you move up the list
 The median is the first point you reach
that is greater than of 50% of the score in
the distribution
 The median can be equal to a score in the
list or it can be a point between two
scores

7. Cont.…
 Notice that the median is not
algebraically defined (there is no
equation for computing the median)
 Means that there is a degree of
subjectivity in determining the exact value

8. Example
 This example demonstrates the
calculation of the median when n is an
“odd” number.
3, 5, 8, 10, 11

9. Example
 This example demonstrates the
calculation of the median when n is an
“even” number
1, 1, 4, 5, 7, 8