In Vikram's village, there are 600 people. He has sampled 50 of them. 32 of this sample would like a gym to be built. Assume the sample is representative. How many people would you expect, from the whole village, would like a gym to be built?

We assume that the proportion of people wanting a gym in the sample is the same as the proportion in the whole village. The proportion in the sample is 32 out of 50, which can be written as the fraction 32/50. To estimate the number for the whole village (population 600), we multiply this fraction by the total population: Estimated number = (32 / 50) * 600 We can simplify this calculation: = 32 * (600 / 50) = 32 * 12 = 384 So, we would expect 384 people in the village to want a gym.