Inferential Statistics (Leaving Cert Mathematics): Flashcards

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Population Mean
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What is the population mean?

Average value of a characteristic in entire population

Symbol for population mean

μ\mu

Symbol for sample mean

xˉ\bar{x}

Formula for population mean

μ=∑xN\mu = \frac{\sum x}{N}

What does NN represent in population mean formula?

Total number of data points in the population

Formula for sample mean

xˉ=∑xn\bar{x} = \frac{\sum x}{n}

What does nn represent in sample mean formula?

Number of data points in the sample

When is sample mean used?

When impractical to measure entire population

What do confidence intervals provide?

Range in which the population mean likely falls

Formula for confidence interval

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

What does zz represent in confidence interval formula?

Z-score for desired confidence level

What does ss represent in confidence interval formula?

Sample standard deviation

What is the z-score for 95% confidence level?

1.96

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