Did you know?
Standard deviation is a measure of the variability or spread of a data set. In the given scenario, a student can run the 100 yard dash with a mean time of 15.2 seconds and a standard deviation of 0.9 seconds. To find the percentage of times that the student runs the race in less than 17 seconds, we can utilize the concept of z-scores and the standard normal distribution. By calculating the z-score for 17 seconds using the formula z = (x - μ) / σ, where x represents the time, μ represents the mean, and σ represents the standard deviation, we can then look up this z-score on a standard normal distribution table to determine the corresponding percentage.
