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.

Question

asked May 26, 2021 137k views

1 Answer

Djamel Korei · Answer 1 · 2021-05-31T06:37:37+0000

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.