Question

7. Fill in each blank so that the resulting statement is true.In a normal distribution, approximately _____% of the data items fall within 1 standard deviation of the mean,approximately _____% of the date items fall within 2 standard deviations of the mean, and approximately _____%of the data items fall within 3 standard deviations of the mean.

Answer 1

SOLUTION:

Case: Normal distribution

A Normal distribution describes a data set such that the mean, median, and mode have the same values.

The chart below describes the steps from the data set:

Final answer:

In a normal distribution,

Approximately 68.27% of the data items fall within 1 standard deviation of the mean.

Approximately 95.45% of the date items fall within 2 standard deviations of the mean, and

Approximately 99.73% of the data items fall within 3 standard deviations of the mean.