Calculate the median from the following frequency
table :
Variable (x)
Frequency (1)
30.5.-39.5
S
40.5.49.5
22
50.5...59.5
63
60.569.5
74
70.5... 79.5
30
80.5.-89.5
6
(1) 60.35
(2) 61.72
(3) 62.30 (4) 61.00
Answers
Answer:
x
10
11
12
13
14
15
f
1
4
7
5
9
8
for a frequency distribution,
So, total number of observation =(1+4+7+5+9+8)=34
It is a even number.
So, median is the value of average of values at (
2
n
)
th
and (
2
n+2
)
th
.
∴ Here, median is the average of the values at (
2
34
)
th
or 17
th
position and (
2
34+2
)
th
or 18
th
position.
x 10 11
12
13
14
15
f
1
4
7
5 9
8
position
1
1+4=5
5+7=12
12+5=17
17+9=26
26+8=34
So, value of x at 17
th
position is 13 and at 18
th
position is 14.
∴Median=(
2
13+14
)=
2
27
=13.5.
Mode for a frequency distribution is the value which is the most common frequent value.
Here 14 has frequency 9 which is highest. So, mode for the frequency distribution is 14.
HOPE THIS HELPS U
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