The data below shows commuting times (in minutes) from a random sample of 20 employees who work at a company.

x = c(78,57,66,62,72,76,61,60,70,73,74,69,56,74,78,64,62,68,77,9)

Data set, ctime.csv, can be downloaded.

  1. Find the description which best fits the shape of distribution.

    left-skewed symmetric right-skewed

  2. Find the third quartile.

    74 75 73

  3. Find the sample mean.

    67.5 68.5 65.3

  4. Are there outliers?

    No Yes

  5. Find the IQR.

    $\displaystyle {{27}\over{4}}$ $\displaystyle {{11}\over{2}}$ $\displaystyle {{137}\over{2}}$ $\displaystyle {{49}\over{4}}$


Department of Mathematics
Last modified: 2025-10-14