find the mean deviation from the median xi 15 9 7 11 17 5 13 fi 12 6 4 8 8 2 10
For me, the answer is not matching I am getting 3.12
Answers
Answer:
Step-by-step explanation:
The given
observations are already in ascending order.
Adding a column corresponding to cumulative
frequencies of the given data, we obtain the
x
i
f
i
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
∴Median=
2
13
th
observation +14
th
observation
=
2
7+7
=7
The absolute values of the deviations from median,
ie. ∣x
i
−M∣, are
∣x
i
−M∣ 2 0 2 3 5 8
f
i
8 6 2 2 2 6
f
i
∣x
i
−M∣ 16 0 4 6 10 48
i=1
∑
6
f
i
=26 and
i=1
∑
6
f
i
∣x
i
−M∣=84
M.D. (M)=
N
1
i=1
∑
6
f
i
∣x
i
−M∣=
26
1
×84=3.23