Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 16, 2023

Find the value of $z$ given $x=59$ , $\mu=43$ , and $\sigma=6.2$ . (Round your answer to two decimal places.)

STEP 1

Assumptions1. The given value of x is59. The given mean (μ) is433. The given standard deviation (σ) is6.4. We are required to find the z-score, which is a measure of how many standard deviations an element is from the mean.

STEP 2

The formula to calculate the z-score is given by $z = \frac{x - \mu}{\sigma}$

STEP 3

Substitute the given values of x, μ, and σ into the formula $z = \frac{59 -43}{6.2}$

STEP 4

Perform the subtraction in the numerator $z = \frac{16}{6.2}$

STEP 5

Perform the division to find the z-score $z = \frac{16}{.2} =2.58$ So, the z-score is2.58.

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