Explain what a z-score is and its relationship to the characteristics of a norma

Question

Explain what a z-score is and its relationship to the characteristics of a normal curve.

Can a z-score be negative? Why or why not?

Tell us in your own words and with your own examples, how can we calculate

a. Converting x values to the corresponding z values.

b. Finding the area between the mean and a point to its right.

c. Finding the area between the mean and a point to its left.

d. Finding the area between two points on different sides of the mean

e. Finding the area between two points on the same side of the mean

Explanation / Answer

z-score is the number of standard deviations from the mean a data point. It can be negative or positive, if it is positive, then the values is above the mean and if it is negative then the value is below the mean

a) Z score = (X-mean)/Standard deviation

b) P( Z>z)

c) P(Z<z)

d) P(z1<z2)

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