Question

For a population with μ = 165 , z-score =2.46, and data value = 206. Find the standard deviation σ . Round your answer to the nearest hundredths place.

Answer 1

• The standard deviation is 16.67

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Given

• Mean μ = 165 ,
• z - score z = 2.46,
• Data value x = 206.

To find

• The standard deviation σ.

Solution

Use z-score formula to find the missing value:

• z = (x - μ )/σ ⇒ σ = (x - μ)/z

Substitute values into equation and find the standard deviation:

• σ = (206 - 165)/2.46 = 16.67 (rounded).