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2 years ago

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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3 years ago

Read 2 more answers

Consider a binomial distribution of 200 trials with expected value 80 and standard deviation of about 6.9. Use the criterion tha

mote1985 [20]

Answer:

The correct answer is option 'a' : 120 is more than 2.5 standard deviations above the expected value.

Step-by-step explanation:

For an exponential distribution we have

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