If you appreciate our work, consider supporting us:

QUESTION:
At a big company the following salary information is known: μ = $80,000 and σ = $5,000. How much money does Layla make if she is two standard deviations above the mean?
Group of answer choices

ANSWER:

We can use the z-score formula rearranged to find the value:

X=μ+(z×σ)X = \mu + (z \times \sigma)

Where

  • μ=80,000\mu = 80{,}000

  • σ=5,000\sigma = 5{,}000

  • z=2z = 2

X=80,000+(2×5,000)X = 80{,}000 + (2 \times 5{,}000) X=80,000+10,000=90,000X = 80{,}000 + 10{,}000 = 90{,}000

Layla makes $90,000.

Back to Questions