Answer to Question #317875 in Statistics and Probability for HII

Question

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

Answer 1

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.