Given the mean of a data set is 254 and has a standard deviation of 12, which of the following data points would result in a z-score that indicates the data point is 2 standard deviations below the mean?(1 point) Responses 19.167 19.167 278 278 24 24 230
The formula to calculate the z-score is:
z = (X - mean) / standard deviation
Given that we want the z-score to be 2 standard deviations below the mean, we can set up the equation as:
-2 = (X - 254) / 12
Multiplying both sides by 12:
-24 = X - 254
Solving for X:
X = -24 + 254
X = 230
Therefore, the data point that would result in a z-score indicating the data point is 2 standard deviations below the mean is 230.