Answer:
The percent of the data should be less than 50 is 50%
Step-by-step explanation:
we are given
mean=50
[tex]\mu=50[/tex]
standard deviation is 6
[tex]\sigma=6[/tex]
and
x=50
so, we can use formula
[tex]z=\frac{x-\mu}{\sigma}[/tex]
now, we can plug values
[tex]z=\frac{50-50}{6}[/tex]
[tex]z=0[/tex]
Since, the data should be less than 50
so,
[tex]z<0[/tex]
now, we can use normal distribution table
we get
[tex]P(z<0)=0.50[/tex]
So,
The percent of the data should be less than 50 is 50%
