Sketch a normal curve for the following distribution. Label the x-axis values at one, two, and three standard deviations from the mean.
meanequals45, standard deviationequals4
The normal curve for a distribution with mean = 45 and standard deviation = 4 would look like this:
- Mean (μ) = 45
- One standard deviation = 45 +/- 4 = 41 and 49
- Two standard deviations = 45 +/- 2(4) = 37 and 53
- Three standard deviations = 45 +/- 3(4) = 33 and 57
The normal curve would be centered at 45 with the values of 41, 37, 33, 49, 53, and 57 labeled on the x-axis accordingly.