Question

A data set has a mean 25 and standard deviation 5 find the z score of 39

Answer 1

The answer to your question is 14/5

Answer 2

`\boxed {\boxed {\sf z=2.8}}`

Explanation:

The z-score helps describe a value's relationship to the mean. It tells us how many standard deviations a value is from the mean. The formula is:

`z= (x- \bar x)/(s)`

where x is the value, x-bar is the mean, and s is the standard deviation.

We know the data set has a mean of 25 and a standard deviation of 5. The value we are finding the z score for is 39.

• x= 39
• x-bar= 25
• s=5

Substitute the values into the formula.

`z= ( 39-25)/(5)`

Solve the numerator.

`z= ( 14)/(5)`

`z=2.8`

The z-score for 39 is 2.8. This means a value of 39 is 2.8 standard deviations greater than the mean.