Question

a data set has a mean of 68 and standard deviation of 6. An element in this set is 51. What is z-score for 51? Round your answer to nearest hundredth.

Answer 1

z = -2.83

Step-by-step explanation:

Given:

Mean, μ = 68

Standard deviation, σ = 6

Data point, x = 51

Z score, z = ?

We know:

`z = (data point - mean)/(standard deviation) \\\\z = (x - u)/(p)`

Substituting the value we get:

`z = (51-68)/(6) \\\\z = -2.83`

A negative z score says that the data point is below average.