What is the z value such that 50% of the total area lies to the right of the curve in a normal distribution?
2007-04-06 15:25:35 · 2 answers · asked by Sam B 2 in Science & Mathematics ➔ Mathematics
0.
z = (x-µ)/σ, which says x value - mean divided by std. deviation. If the distribution is normal, 50% of the data is right of the mean, so if x = µ, z will be 0.
2007-04-06 15:40:55 · answer #1 · answered by Philo 7 · 1⤊ 0⤋
Hi,
If 50% of the total area lies on the right of the curve in the normal distribution, that would be 100% of the area. Technically the area would continue adding more and more infinitesimal amounts, never quite reaching 100%. But if you look at a z score of 4.89, it contains .999999 of the entire area, which is essentially 50% on the right hand side.
I hope that helps!! :-)
2007-04-06 22:46:47 · answer #2 · answered by Pi R Squared 7 · 0⤊ 0⤋