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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.

Respuesta :

mhanifa

Answer:

  • The standard deviation is 16.67

================

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).

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