The standard deviation of 25, 32, 43, 53, 62, 59, 48, 31, 24, 33 is(a) 13.23(b) 12.33(c) 11.33(d) none of these

To find the standard deviation, follow these steps:

1. Find the mean (average) of the data set. Add all the numbers together and divide by the total count of numbers.

   (25 + 32 + 43 + 53 + 62 + 59 + 48 + 31 + 24 + 33) / 10 = 410 / 10 = 41

2. Subtract the mean from each number in the data set and then square the result. This gives you the squared differences.

   (25-41)^2 = 256 (32-41)^2 = 81 (43-41)^2 = 4 (53-41)^2 = 144 (62-41)^2 = 441 (59-41)^2 = 324 (48-41)^2 = 49 (31-41)^2 = 100 (24-41)^2 = 289 (33-41)^2 = 64

3. Find the average of these squared differences. This is called the variance.

   (256 + 81 + 4 + 144 + 441 + 324 + 49 + 100 + 289 + 64) / 10 = 1752 / 10 = 175.2

4. Take the square root of the variance to get the standard deviation.

   √175.2 = 13.23

So, the standard deviation of the given data set is 13.23. Therefore, the answer is (a) 13.23.