Question

Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are listed below. Find the range and standard deviation.

0.28, 0.18 ,0.18 ,0.15 ,0.13, 0.23 ,0.31, 0.23, 0.14 ,0.15, 0.12

Answer 1

To find the range, subtract the smallest value from the largest value. The range is 0.19. To find the standard deviation, find the mean of the data, subtract the mean from each value, square the result, sum all the squared differences, divide the sum by the number of values, and take the square root of the result. The standard deviation is approximately 0.0718.

Step-by-step explanation:

To find the range of the blood alcohol concentrations, we subtract the smallest value from the largest value. In this case, the smallest value is 0.12 and the largest value is 0.31. So the range is 0.31 - 0.12 = 0.19.

To find the standard deviation, we first need to find the mean of the data. The mean is the sum of all the values divided by the number of values. In this case, the sum of the values is 2.75 and there are 11 values. So the mean is 2.75 / 11 = 0.25.

Next, we subtract the mean from each value, square the result, and sum all the squared differences. Then we divide the sum by the number of values and take the square root of the result. This gives us the standard deviation. Using the given data, the standard deviation is approximately 0.0718.