Use the Following Duration Times (Seconds) of 24 Eruptions of the Old

question 50

Essay

Use the following duration times (seconds) of 24 eruptions of the Old Faithful geyser in Yellowstone National Park. The duration times are sorted from lowest to highest.
$\begin{array} { c c c c c c c c c c c c } 110 & 120 & 178 & 213 & 234 & 234 & 235 & 237 & 240 & 243 & 245 & 245 \\250 & 250 & 251 & 252 & 254 & 255 & 255 & 259 & 260 & 266 & 269 & 273\end{array}$
Construct a boxplot and make observations about the shape, if there is skewness including in what direction, and if there are any outliers. Explain the skewness in terms of the difference between $Q _ { 1 }$ and the median and $Q _ { 3 }$ and the median.

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Definitions:

Poisson Distribution

A probability distribution that represents the likelihood of a specific number of occurrences happening within a predetermined time or space interval.

Poisson Distribution

A probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event.

Numerical Variables

Variables that represent quantifiable data, allowing for mathematical operations to be performed on them.

Poisson Distribution

A probability distribution that expresses the likelihood of a given number of events occurring in a fixed interval of time or space.