Answer to Question #277811 in Statistics and Probability for RPR

Question

If a set of responses is normally distributed, which of the following statements is NOT true?

1) About 95% of responses fall within two standard deviations of the mean.

2) The data need to be transformed to correct the skew.

3) The scores will be symmetrically distributed around the mean.

4) We can predict the percentage of responses falling within one standard deviations of the mean.

Answer 1

About 95% of responses fall within two standard deviations of the mean.This is true

The scores will be symmetrically distributed around the mean.True

This is if a line were drawn dissecting the middle of the graph ,it would reveal two sides implying that each are mirror of the other.

We can predict the percentage of responses falling within one standard deviations of the mean,True

This is because at 68% of data observed is within one standard deviation from the mean.

The data need to be transformed to correct the skew.False

For a normal distribution the data

set ,there is no need to transform since it's already normal.