Question
Obtain the original frequency distribution from the following data :
| Mid value | $250$ | $350$ | $450$ | $550$ | $650$ | $750$ | Total |
| Frequency | $20$ | $80$ | $80$ | $40$ | $60$ | $20$ | $300$ |
| Mid value | $250$ | $350$ | $450$ | $550$ | $650$ | $750$ | Total |
| Frequency | $20$ | $80$ | $80$ | $40$ | $60$ | $20$ | $300$ |
| Mid value | Class limits | Original frequency distribution | ||
| Lower limit $=$ mid value $–\frac{}100{2}$ | Upper limit $=$ Mid value $+\frac{100}{2}$ | Class | Frequency f |
|
| $250$ | $200$ | $300$ | $200 -300$ | $20$ |
| $350$ | $300$ | $400$ | $300 -400$ | $80$ |
| $450$ | $400$ | $500$ | $400 -500$ | $80$ |
| $550$ | $500$ | $600$ | $500 -600$ | $40$ |
| $650$ | $600$ | $700$ | $600 -700$ | $60$ |
| $750$ | $700$ | $800$ | $700 -800$ | $20$ |
| - | - | Total | $300$ | |
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| Demand of rooms | $1 - 50$ | $51 – 100$ | $101 – 150$ | $151 – 200$ | $201 – 250$ | Total |
| Number of rooms | $10$ | $20$ | $30$ | $18$ | $12$ | $90$ |