Question

If a normal distribution has a mean of 44 and a standard deviation of 8, what is the z-score for a value of 50?

Answer 1

A normal distribution has a mean of 44 and a standard deviation of 8,

We need to find z-score when x=50

To find z-score we use formula

`z=(x-mean)/(standard deviation)`

mean = 44

standard deviation = 8 and x= 50

`z=(50-44)/(8)`

`z=(6)/(8)`

`z=(3)/(4)=0.75`

the z-score for a value of 50 is 0.75