2.275% of the data should be greater than 34 if the set of data has a normal distribution with a mean of 50 and a standard deviation of 8.
What is a normal distribution?
It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have:
Mean of the data X = 50
Standard deviation S = 8
We know,
[tex]\rm Z = \dfrac{X-u}{S}[/tex]
Z = (50-34)/8
Z = 2
From Z table:
P(x<50) = 0.97725
P(x>50) = 1—P(x<50) = 0.02275 = 2.275%
Thus, 2.275% of the data should be greater than 34 if the set of data has a normal distribution with a mean of 50 and a standard deviation of 8.
Learn more about the normal distribution here:
brainly.com/question/12421652
#SPJ2
