The data below shows commuting times (in minutes) from a random sample of 32 employees who work at a company.

x = c(10,9,3,9,12,2,14,7,3,4,9,7,17,10,16,18,9,10,7,6,9,1,10,8,15,5,4,10,11,3,45,54)

Data set, ctime.csv, can be downloaded.

  1. Find the sample median.

    9.0 11.15 8.5

  2. Are there outliers?

    No Yes

  3. Find the IQR.

    9 $\displaystyle {{11}\over{2}}$ $\displaystyle {{13}\over{4}}$ $\displaystyle {{9}\over{4}}$

  4. Find the first quartile.

    $\displaystyle {{23}\over{4}}$ $\displaystyle {{13}\over{2}}$ $\displaystyle {{9}\over{2}}$

  5. Find the third quartile.

    $\displaystyle {{45}\over{4}}$ $\displaystyle {{21}\over{2}}$ $\displaystyle {{25}\over{2}}$


Department of Mathematics
Last modified: 2026-04-10