# A normal distribution of data has a mean of 15 and a standard deviation of 4. How many standard deviations from themean is

A normal distribution of data has a mean of 15 and a standard deviation of 4. How many standard deviations from the mean is 252
0 0.16
0.4
0 2.5
O 6.25

## This Post Has 6 Comments

1. breahk12 says:

Third option is correct.

Step-by-step explanation:

Since we have given that

Mean $(\mu)=15$

Standard deviation $\sigma=4$

Mean (X) = 25

We need to find the "Number of standard deviations (Z) from the mean (X) ":

As we know that in Normal distribution:

$Z=\frac{X-\mu}{\sigma}\\\\Z=\frac{25-15}{4}\\\\Z=\frac{10}{4}\\\\Z=2.5$

Hence, Third option is correct.

2. loveeealyric744 says:

This is the concept of probability, to get the number of standard deviations that 25 is from the mean, we calculate the z-score given by:
Z=(X-mean)/s.d
where;
x=25
mean=15
s.d=4
hence;
z=(25-15)/4=2.5

3. lexib4 says:

So the difference from the mean and the value is:
25 - 15 = 10
and now we need to know how many standard deviations of 4 are in that range, that is:
10/4 = 2.5
so there are 2.5 std deviations from the mean if the value is 25

4. barn01 says:

2.5 standard deviations

Step-by-step explanation:

The difference from the mean and the value is:

25 - 15 = 10

how many standard deviations of 4 are in that range:

10/4 = 2.5

There are 2.5 std deviations from the mean if the value is 25

5. montanolumpuy says:

Z=$\frac{25-15}{4}$=2.5 This is in standardized units, or z-score.

6. vannybelly83 says: