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Example: 5, 7, 4, 4, 6, 2, 8. Put them in order: 2, 4, 4, 5, 6, 7, 8. Cut the list into quarters: And the result is: Quartile 1 (Q1) = 4; Quartile 2 (Q2), which is also the Median, = 5; Quartile 3 (Q3) = 7
5 wrz 2023 · The Corbettmaths Practice Questions on Quartiles and the Interquartile Range from a List.
The third quartile, (Q_{3}) is \frac{3}{4} (or 75\% ) of the way through the data – the upper quartile. You can only find quartiles for quantitative (numerical) data sets, but they can be found for both discrete and continuous quantitative data sets.
Suppose, Q 3 is the upper quartile is the median of the upper half of the data set. Whereas, Q 1 is the lower quartile and median of the lower half of the data set. Q 2 is the median.
How do you calculate the upper quartile? A quartile divides the data set into 4 parts. The median of the first half of the data is called the lower quartile. The median of the second half of the data is called the upper quartile.
The upper quartile (Q_3) is the value in the ordered data such that 75\% of the data is smaller than it and 25\% of the data is larger. In a data set size n, Q_3 is in position \dfrac {3 (n+1)} {4} Q_2 denotes the median, found at \dfrac {n+1} {2}
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