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

Explanation:

Given:

Mean, μ = 68

Standard deviation, σ = 6

Data point, x = 51

Z score, z = ?

We know:

$z = \frac{data point - mean}{standard deviation} \\\\z = \frac{x - u}{p}$

Substituting the value we get:

$z = \frac{51-68}{6} \\\\z = -2.83$

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