Question

5) What is the proportion of the total area under the normal curve within plus and minus

two standard deviations of the mean?

A) 95% B) 34% C) 68% D) 99.7%​

Answer 1

Answer:

68

Step-by-step explanation:

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Answer 2

Answer:

The area within plus and minus two standard deviations of the mean constitutes about 95 percent of the area under the curve

Step-by-step explanation:

Hence, 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.