The area under the normal curve drawn with regard to the population
The area under the normal table will denote the characteristics of the normal population.
one can interpret the value of the standard deviation by reference to the normal curve. If a variable is distributed normally, then approximately two thirds of the population will lie (i.e., have scores) within plus or minus one standard deviation of the mean; about 95 percent will be within plus or minus 2 standard deviations of the mean. To see what this mean use MINITAB to calculate the mean and standard deviation of a normally distributed variable (use the stem command to see if the variable approximates a normal distribution). Then add and subtract 1 standard deviation to the mean. About two thirds of the cases should lie between these numbers.
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