Mathematics
The histogram showing the weekly wages (in rupees) of workers in a factory is given alongside.
Answer the following about the frequency distribution:
(i) What is the frequency of the class 400 - 425?
(ii) What is the class having minimum frequency?
(iii) What is the cumulative frequency of the class 425 – 450?
(iv) Construct a frequency and cumulative frequency table for the given distribution.
Answer
(i) From graph,
The frequency of class 400 - 425 is 18.
(ii) From graph,
Minimum frequency of a class = 4.
Hence, the class having minimum frequency is 475 - 500.
(iii) Cumulative frequency of class 425 - 450 = Sum of frequency of class 425 - 450 and previous classes
= 10 + 18 + 6 = 34.
Hence, cumulative frequency of class 425 - 450 = 34.
(iv) The cumulative frequency distribution table for given distribution is shown below :
| Classes | Frequency | Cumulative frequency |
|---|---|---|
| 375 - 400 | 6 | 6 |
| 400 - 425 | 18 | 24 (6 + 18) |
| 425 - 450 | 10 | 34 (24 + 10) |
| 450 - 475 | 20 | 54 (34 + 20) |
| 475 - 500 | 4 | 58 (54 + 4) |
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