Question

A test has a mean of 80 and standard deviation of 4. what score would be 1 deviation from the mean

Answer 1

Answer:

The score from 76 to 84 would be 1 deviation from the mean.

Step-by-step explanation:

It is given that a test has a mean of 80 and standard deviation of 4. It measn

$\mu=80$

$\sigma=4$

We need to find the score that would be 1 deviation from the mean. It means, we need to find the interval $[\mu-\sigma,\mu+\sigma]$.

$\mu-\sigma=80-4=76$

$\mu+\sigma=80+4=84$

The required interval is [76,84].

Therefore, the score from 76 to 84 would be 1 deviation from the mean.

Answer 2

Any score between 76 and 84 will be 1 deviation from the mean.

To figure this out you subtract 4 from 80 (80-4 = 76) and you add 4 to 80 (80+4) = 84 and that tells you that most of the scores will fall between 76 and 84 which is 1 deviation from the mean.