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3 years ago

6

a data set has a mean of 68 and standard deviation of 6. An element in this set is 51. What is z-score for 51? Round your answer

to nearest hundredth.

1 answer:

gogolik [260]3 years ago

4 0

z = -2.83

<u>Explanation:</u>

Given:

Mean, μ = 68

Standard deviation, σ = 6

Data point, x = 51

Z score, z = ?

We know:

$z = \frac{data point - mean}{standard deviation} \\\\z = \frac{x - u}{p}$

Substituting the value we get:

$z = \frac{51-68}{6} \\\\z = -2.83$

A negative z score says that the data point is below average.

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Answer:

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Step-by-step explanation:

Topic: Inequality

Given:

Available Size of water = 17 liters

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