Question

The Truly Amazing Dudes are a group of comic acrobats. The weights (in pounds) of the ten acrobats are as follows. 139 197 142 138 147 89 165 169 159 146 Find the mean and sample standard deviation of the weights.

Answer 1

The mean weight of the acrobats is 146.1 pounds and the sample standard deviation is approximately 35.8 pounds.

Step-by-step explanation:

To find the mean of a set of numbers, you add up all the numbers and then divide by the total number of numbers. In this case, the mean weight of the acrobats is (139 + 197 + 142 + 138 + 147 + 89 + 165 + 169 + 159 + 146) / 10 = 146.1 pounds.

To find the sample standard deviation, you first subtract the mean from each number, square the result, add up all the squared values, divide by (n-1), and then take the square root. Applying this formula to the weights, the standard deviation is approximately 35.8 pounds.