Question

Suppose a normal distribution has a mean of 12 and a standard deviation of 4.

Answer 1

$18=12+4x\implies 6=4x\implies x=\dfrac64=1.5$

Answer 2

Answer:

The correct option is 3. The value of 18 is 1.5 standard deviations away from the mean.

Step-by-step explanation:

It is given that a normal distribution has a mean of 12 and a standard deviation of 4.

$\mu=12$

$\sigma=4$

We have to find the value of

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

The value of x is 18.

$z=\frac{18-12}{4}$

$z=\frac{6}{4}$

$z=1.5$

The value of z is 1.5, therefore the value of 18 is 1.5 standard deviations away from the mean. Option 3 is correct.