2006-07-20 14:07:33 · 5 answers · asked by Vivette S 1 in Science & Mathematics ➔ Mathematics
Z-scores are defined as follows:
Z = (X - U)/S, where S is the standard deviation, U is the mean, and X is the data value.
Given your example, Z is 3, so solving for X in terms of U and S, we get:
X = U + 3S.
This means that the data value X with Z-score equal to 3 is 3 standard deviations above the mean.
2006-07-20 16:56:23 · answer #1 · answered by JoseABDris 2 · 4⤊ 1⤋
A Z score is the number of standard deviations away from the mean, so a Z score of 3 is 3 standard deviations above the mean.
2006-07-20 14:13:00 · answer #2 · answered by Rich B 3 · 0⤊ 0⤋
The answer is "3."
The z-score tells us how many standard deviations a value is above or below the mean of the data set. A data value with a z-score of "1" is one standard deviation above the mean. A data value with a z-score of "2" is two standard deviations above the mean. A data value with a z-score of "-1.5" is one and a half standard deviations below the mean.
And a z-score of "3" indicates a data value that is three standard deviations above the mean.
2006-07-20 15:28:22 · answer #3 · answered by tdw 4 · 0⤊ 0⤋
The z-score tells you how many sd above or below the mean a raw score is. If z = 3, then the raw score is 3 sd above the mean - less than 1% chance in a normally distributed population
2006-07-20 17:22:04 · answer #4 · answered by jimbob 6 · 0⤊ 0⤋
um, would that be 3?
2006-07-20 14:12:52 · answer #5 · answered by Poncho Rio 4 · 0⤊ 0⤋