Population Mean (Leaving Cert Mathematics): Quizzes

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Population Mean
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What does the population mean represent?

Average of entire population

Which symbol denotes the population mean?

μ\mu

Which symbol represents the sample mean?

xˉ\bar{x}

What is the formula for the population mean?

μ=∑xN\mu = \frac{\sum x}{N}

What is the formula for the sample mean?

xˉ=∑xn\bar{x} = \frac{\sum x}{n}

When is a sample mean used instead of a population mean?

When measuring entire population is impractical

What do confidence intervals provide?

Range where population mean likely falls

What is the formula for a confidence interval?

xˉ±z×sn\bar{x} \pm z \times \frac{s}{\sqrt{n}}

What is the zz-score for a 95% confidence level?

1.961.96

What is the difference between NN and nn?

NN is population size, nn is sample size

Find the population mean of: 70,75,80,85,9070, 75, 80, 85, 90

8080

In the confidence interval formula, what does ss represent?

Sample standard deviation

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