Question

The times (in seconds) between fifteen consecutive eruptions of a geyser were as follows: 914, 900, 883, 919, 940, 949, 933, 880, 918, 928, 855, 899, 926, 883, 907 By entering the data into R, find the sample IQR

Answer 1

Given data is

  914, 900, 883, 919, 940, 949, 933, 880, 918, 928, 855, 899, 926, 883, 907

Ascending order of given data is

855,880,883,(883),899,900,907, (914), 918,919,926,(928),933,940,949

$\small Q_{1}=883$ and $\small Q_{3}=928$

$\small I.Q.R=Q_{3}-Q_{1}=928-883=45$