okay so I don't understand what a Z score is. I can't figure this stuff out!

{16, 17, 18, 19, 20, 22, 24, 27, 29, 80}

8. Calculate the z-score for 80 and explain what it means.

9. Calculate the z-score for the median of the data set.

10. Calculate the z-score for the third quartile of the data set.

Question

okay so I don't understand what a Z score is. I can't figure this stuff out!

{16, 17, 18, 19, 20, 22, 24, 27, 29, 80}

8.  Calculate the z-score for 80 and explain what it means.

9.  Calculate the z-score for the median of the data set.

10.  Calculate the z-score for the third quartile of the data set.

katie_rogers101 · Answer

@xapproachesinfinity

katie_rogers101 · Answer

@inkyvoyd

zarkon · Answer

first find the mean and standard deviation of the data set

dumbcow · Answer

Z-score is a number that tells you how many standard deviations a number is from the mean
$$Z = \frac{ x - mean}{std dev}$$

mathmale · Answer

So, to find the z-score for 80, you will first need to find the mean and standard deviation of the given data set.  Your results, the mean and the std. dev., are then to be substituted into the z-score formula:$$z=\frac{ x-\mu  }{  }$$

mathmale · Answer

$$z=\frac{ x-\mu  }{  \sigma}$$

mathmale · Answer

Have you tried looking up "z-score" for a definition?

A z-score tells us how many standard deviations a particular x-value is from the mean.  Tables of z-scores rarely show scores lower than -3.8 or greater than +3.8.

See if you can find further info about z-scores through Google lookups.

mathmale · Answer

Again:  Please find the mean and the standard deviation of  the data set  {16, 17, 18, 19, 20, 22, 24, 27, 29, 80}.

katie_rogers101 · Answer

Thank you everyone all of this helped a ton!