A The Z score for robberies committed is 024 and the Z score

A) The Z score for robberies committed is 0.24 and the Z score for assault committed is .74. In which variable does the criminal have a lower relative position. Why?

B) Why is a Zscore more useful than an x value?

Solution

1. The higher the Z-score, the better the relative position it is. Therefore, the robberies committed is the lower relative position here.

-To summarize, a z-score is a way of understanding the relative standing of a measurement. It can be thought as the number of standard deviations above or below the mean.

2. A Z-Score is more useful than the X-value simply because it tells you how many standard deviations it is away from the mean rather than just telling you how far it is from the mean (if you have a mean but no standard deviation, you can tell how far it deviates from the mean but you can\'t tell how many standard deviations away it is, therefore you won\'t know how it compares to other X-values that are being measured).

68% of returns are within 1 standard deviation of the mean, 95% are within two standard deviations of the mean, 99.7% fall within 3 standard deviations of the mean. This is something that can be gathered from a Z-test but not from an X-value.