Calculate lower quartile from the following data. X:22, 26,14,30,18,11,35,41,12,32 answer please
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Explanation:
Correct option is
D
None of these
The cumulative frequency of the table is a given below:
Weekly
income ( in Rs.) No. of workers Cumulative
frequency
58 2 2
59 3 5
60 6 11
61 15 26
62 10 36
63 5 41
64 4 45
65 3 48
66 1 49
N = 49
Lower Quartile:
We have
4
N
=
4
49
=12.25
The cumulative frequency just greater than
4
N
is 26 and the corresponding value of the variable is 61
∴Q
1
=Rs. 61
Middle Quartile (median):
We have
2
N
=
2
49
=24.5
The cumulative frequency just greater than
2
N
is 26 and the corresponding value of the variable is 61
∴Q
2
=Rs. 61
Upper Quartile:
We have
4
3N
=
4
3×49
=36.75
The cumulative frequency just greater than
4
3N
is 41 and the corresponding value of the variable is 63
∴Q
3
=Rs. 63
∴
2
Q
1
+Q
3
=
2
61+63
=62
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