Use a graph sheet for this question. The daily wages of 120 workers working at a site are given below: | Wages $(₹)$ | $250-300$ | $300-350$ | $350-400$ | $400-450$ | $450-500$ | $500-550$ | $550-600$ | | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | | No. of workers | 8 | 15 | 20 | 30 | 25 | 15 | 7 | Use $2 \mathrm{~cm}=₹ 50$ and $2 \mathrm{~cm}=20$ workers along x - axis and y - axis respectively to draw an ogive and hence estimate: the inter - quartile range of wages
Explanation
To estimate the inter-quartile range of wages, we need to plot the ogive using the given data. The first quartile (Q1) is the 30th worker, and the third quartile (Q3) is the 90th worker. From the graph, we can see that Q1 is approximately Rs. 325 and Q3 is approximately Rs. 375. Therefore, the inter-quartile range of wages is approximately Rs. 375 - Rs. 325 = Rs. 50.
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