Question
The following cumulative frequency distribution table shows the daily electricity consumption (in KW) of 40 factories in an industrial state.
Consumption (in KW)
No. of factories
Below 240
1
Below 270
4
Below 300
8
Below 330
24
Below 360
33
Below 390
38
Below 420
40
  1. Represent this as a frequency distribution table.
  2. Prepare a cumulative frequency table.

Answer

  1.  
Consumption(in KW)
No. of factories
Class interval
Frequency
Below 240
1
0-240
1
Below 270
4
240-270
4 - 1 = 3
Below 300
8
270-300
8 - 4 = 4
Below 330
24
300-330
24 - 8 = 16
Below 360
33
330-360
33 - 24 = 9
Below 390
38
360-390
38 - 33 = 5
Below 420
40
390-420
40 - 38 = 2
  1.  
Class interval
Frequency
Consumption(in KW)
No. of factories
0-240
1
More than 0
40
240-270
3
More than 240
40 - 1 = 39
270-300
4
More than 270
39 - 3 = 36
300-330
16
More than 300
36 - 4 = 32
330-360
9
More than 330
32 - 16 = 16
360-390
5
More than 360
16 - 9 = 7
390-420
2
More than 390
7 - 5 = 2
 
 
More than 420
2 - 2 = 0
 
N = 40
 
 

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