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Drupady [299]
2 years ago
13

A data set has a mean of 42 and a standard deviation of 7.8 if an element in the set is 54 find its z-score

Mathematics
1 answer:
ankoles [38]2 years ago
3 0

Answer:

<h3><u>The z-score is 1.54</u></h3>

Step-by-step explanation:

<h2>Given:</h2>

x = 54

μ = 42

σ = 7.8

<h2>Required:</h2>

Z-score

<h2>Equation:</h2>

Z\: =\: \frac{x\:-\:μ}{σ}

where: Z - standard score

x - value

μ - mean

σ - standard deviation

<h2>Solution:</h2>

Substitute the value of x, μ and σ

Z\: =\: \frac{x\:-\:μ}{σ}

Z\: =\: \frac{54\:-\:42}{7.8}

Z\: =\: 1.54

<h2>Final Answer:</h2><h3><u>The z-score is 1.54</u></h3>
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Step-by-step explanation:

step 1 Address the formula, input parameters & values.

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Complete this conversion. given: 10 mm = 1 cm given: 100 cm = 1 m find: 7.5 m = ___ mm
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We have that
10 mm is equal to -------> 1 cm----> multiply by 100
10*100 mm is equal to -------> 1*100 cm
1000 mm is equal to -------> 100 cm
and
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