Question

The heights of women aged 20 to 29 are approximately Normal with mean 64.3 inches and standard deviation 2.7 inches. Men the same age have mean height 69.9 inches with a standard deviation 3.1 inches. Describe in lay terms what information the z scores give that the original nonstandardized heights do not.

Answer 1

In a lay term; The z-score gives us information concerning how many percentages of data lie between the given data interval. The z-score gives us an overview of the distance from the mean a data point is. In addition to that, it measures the degree of standard deviations below or above the population mean a raw score. We can place a z-score on a normal distribution curve.

Explanation:

Given that:

Height of woman between age 20 -29 are approximately normal with:

population mean = 64.3 inches &;

standard deviation = 2.7

For men:

population mean = 69.9 inches

Standard deviation = 3.1 inches

In a lay term; The z-score gives us information concerning how many percentages of data lie between the given data interval. The z-score gives us an overview of the distance from the mean a data point is. In addition to that, it measures the degree of standard deviations below or above the population mean a raw score. We can place a z-score on a normal distribution curve.