For the set of data below, determine the 5 number summaries. Construct the resulting box and whisker plot.
5, 3, 8, 6, 1, -10, 3, 9, 7, 4, 5
Min - minimum of sequence is-10
Quartile 1 is 25 percentile, so 25% of data is smaller. As we have 11 numbers 0.25x11=2.75. So it is 3d number in size. It is 3.
Medians is 50 percentile, so 50% of data is smaller. So 11x 0.5=5.5. So it is 6 th number in size. It is 5.
Quartile 3 is 75 percentile, so 75% of data is smaller. As we have 11 numbers 0.75x11=8.25 So it is 9dth number in size. It is 7.
Max is the maximum value. It is 9.
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