Descriptive statistics flashcards: spread & plots

Question 1

What is the range of a data set?

Accepted Answer

Largest value minus smallest value: $	ext{range}=\max-\min$.

Question 2

What is the 1.5·IQR rule for outliers in a box plot?

Accepted Answer

Lower fence: $Q_1-1.5\,	ext{IQR}$; upper fence: $Q_3+1.5\,	ext{IQR}$. Values outside the fences are flagged as outliers.

Question 3

State the sample variance and sample standard deviation formulas.

Accepted Answer

$$s^2=\frac{1}{n-1}\sum_{i=1}^{n}(x_i-\bar{x})^2,\qquad s=\sqrt{s^2}$$
Here $\bar{x}$ is the sample mean and $n$ is the sample size; $n-1$ is used for an unbiased estimate of $\sigma^2$.

Descriptive statistics flashcards: spread & plots

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