The arithmetic mean of the following data is: Wages: 200, 210, 220, 230, 240, 250, 260 No. of workers: 5, 15, 32, 42, 15, 12, 4a.205.61b.211.85c.227.92d.234.53

To find the arithmetic mean of the given data, we need to multiply each wage by the number of workers earning that wage, sum up these products, and then divide by the total number of workers.

Here's how to do it:

1. Multiply each wage by the number of workers earning that wage:

   200 * 5 = 1000 210 * 15 = 3150 220 * 32 = 7040 230 * 42 = 9660 240 * 15 = 3600 250 * 12 = 3000 260 * 4 = 1040

2. Sum up these products:

   1000 + 3150 + 7040 + 9660 + 3600 + 3000 + 1040 = 28490

3. Sum up the total number of workers:

   5 + 15 + 32 + 42 + 15 + 12 + 4 = 125

4. Divide the sum of the products by the total number of workers to find the arithmetic mean:

   28490 / 125 = 227.92

So, the arithmetic mean of the given data is 227.92 (option c).