There are several quartiles of an observation variable. The first quartile, or lowerquartile, is the value that cuts off the first 25% of the data when it is sorted inascending order. The second quartile, or median, is the value that cuts off the first50%. The third quartile, or upper quartile, is the value that cuts off the first75%.
Problem
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Find the quartiles of the eruption durations in the data set faithful.
Solution
We apply the quantile function to compute the quartiles of eruptions.
> duration = faithful$eruptions # the eruption durations
> quantile(duration) # apply the quantile function
0% 25% 50% 75% 100%
1.6000 2.1627 4.0000 4.4543 5.1000
> quantile(duration) # apply the quantile function
0% 25% 50% 75% 100%
1.6000 2.1627 4.0000 4.4543 5.1000
Answer
The first, second and third quartiles of the eruption duration are 2.1627, 4.0000 and4.4543 minutes respectively. Enhance images 2 1.
Exercise
Find the quartiles of the eruption waiting periods in faithful.
Framer Studio 1 9 43 +
Note
Framer Studio 1 9 43 Inches
There are several algorithms for the computation of quartiles. Details can be found inthe R documentation via help(quantile).