Find the mean deviation about the median for the data.
|
x i |
5 |
7 |
9 |
10 |
12 |
15 |
|
f i |
8 |
6 |
2 |
2 |
2 |
6 |
The given observations are already in ascending order.
Adding a column corresponding to cumulative frequencies of the given data, we obtain the following table.
-
xi
fi
c.f.
5
8
8
7
6
14
9
2
16
10
2
18
12
2
20
15
6
26
Here, N = 26, which is even.
Median is the mean of 13th and 14th observations. Both of these observations lie in the cumulative frequency 14, for which the corresponding observation is 7.
The absolute values of the deviations from median, i.e.
are
-
|xi – M|
2
0
2
3
5
8
fi
8
6
2
2
2
6
fi |xi – M|
16
0
4
6
10
48
and
