Question

Az-scores are a conversion of individual scores into astandard form. The conversion allows us to more easilycompare different data. We can find a Z-score for avalue to see it's Nistance in standard deviations from themean.(x – u)-score =where xis our given data, u ("mu")0is the population mean, and o ("sigma") is thepopulation standard deviation.Is Paul tall? According to the National Center for HealthStatistics, the distribution of heights for 15-year-oldmales has a mean of 170 centimeters (cm) and astandard deviation of 7.5 cm. Paul is 15 years old and179 cm tall.Find the Z-score corresponding to Paul's height. Explainwhat this value means.

Answer 1

Step-by-step explanation

We want to find the z score corresponding to Paul's height.

We have been given the formula for finding the z score of a data point. That is:

`z\text{ = }\frac{x\text{ - u}}{\sigma}`

x = mean