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# time between eruptions and the duration of the eruption for the Old Faithful geyser in Yellowstone National Park, Wyoming

INSTRUCTIONS TO CANDIDATES
###### ANSWER ALL QUESTIONS

The following data shows waiting time between eruptions and the duration of the eruption for the Old Faithful geyser in Yellowstone National Park, Wyoming, USA.

data(faithful)

View(faithful)

## eruptions waiting

## 1 3.600 79

## 2 1.800 54

## 3 3.333 74

## 4 2.283 62

## 5 4.533 85

## 6 2.883 55

## ## eruptions 1 3.600 waiting

79

## 2 1.800 54

## 3 3.333 74

## 4 2.283 62

## 5 4.533 85

## 6 2.883 55

## 7 4.700 88

## 8 3.600 85

## [1] "Number of columns of the matrix: "

## [1] 2

## [1] "Number of columns of the matrix: "

## [1] 272

IQR(faithful\$waiting)

## [1] 24

## [1] 70.89706

## [1] 76

## [1] 13.59497

quantile(faithful\$waiting)

## 0% 25% 50% 75% 100%

## 43 58 76 82 96

quantile(faithful\$waiting,c(0.1,0.3))

## 10% 30%

## 51 60

cor(faithful\$eruptions,faithful\$waiting)

## [1] 0.9008112

Modes <- function(x) { ux <- unique(x)

tab <- tabulate(match(x, ux)) ux[tab == max(tab)]

}

Modes(faithful\$waiting)

## [1] 78

boxplot(faithful\$waiting, main="time between eruptions", col="red")

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