Question

A set of data has a normal distribution with a mean of 50 and a standard deviation of 6. What percent of the data should be less than 50?

Answer 1

Answer:

The percent of the data should be less than 50 is 50%

Step-by-step explanation:

we are given

mean=50

$\mu=50$

standard deviation is 6

$\sigma=6$

and

x=50

so, we can use formula

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

now, we can plug values

$z=\frac{50-50}{6}$

$z=0$

Since, the data should be less than 50

so,

$z<0$

now, we can use normal distribution table

we get

$P(z<0)=0.50$

So,

The percent of the data should be less than 50 is 50%