We take a random sample of 50 worms off the sidewalk the last rainy day, calculating the average length of the worms we collect. We know nothing about the distribution of the lengths of the worms. What does the central limit theorem tell us about the shape of the distribution of ? We take a random sample of 50 worms off the sidewalk the last rainy day, calculating the average length of the worms we collect. We know nothing about the distribution of the lengths of the worms. What does the central limit theorem tell us about the shape of the distribution of ? The sampling distribution is skewed to the left. The sampling distribution is skewed to the right. The sampling distribution is approximately normal in shape. The sampling distribution is uniform in shape. The sampling distribution is exactly normal in shape. All sampling distributions are uniform in shape