The distribution score for a city wide math test scores results in a mean of 70 and a standard deviation of 12. What score is 2 standard deviations above the mean?
94
Z = (score-mean)/SD
For 2 SD above the mean, Z = +2. Insert the values into the equation and solve for the score.
Question 2
Marks: --/1 Let data set #2: X=1, 3, 4, 6, 7, 45, 1. Compute the mean of this sample. Round to the hundredth.
To find the score that is two standard deviations above the mean, you need to follow these steps:
Step 1: Calculate the value of two standard deviations.
Since the standard deviation is given as 12, to find two standard deviations, you multiply the standard deviation by 2.
Two standard deviations = 2 x 12 = 24.
Step 2: Add the value of two standard deviations to the mean.
To find the score that is two standard deviations above the mean, add the value of two standard deviations to the mean.
Score = Mean + Two standard deviations.
Score = 70 + 24.
Step 3: Calculate the result.
Score = 94.
Therefore, the score that is two standard deviations above the mean is 94.