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

x = c(44,42,49,57,59,35,52,39,37,38,32,45,47,36,30,38,36,41,29,45,40,44,49,43,40,50,34,54,47,48,32,54)

Data set, ctime.csv, can be downloaded.

  1. Find the first quartile.

    $\displaystyle {{75}\over{2}}$ $\displaystyle {{147}\over{4}}$ $\displaystyle {{71}\over{2}}$

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

    right-skewed symmetric left-skewed

  3. Find the IQR.

    $\displaystyle {{85}\over{2}}$ $\displaystyle {{23}\over{4}}$ $\displaystyle {{23}\over{2}}$ $\displaystyle {{23}\over{4}}$

  4. Find the sample median.

    42.68 42.5 41.5

  5. Find the sample mean.

    42.5 42.68 41.5


Department of Mathematics
Last modified: 2026-06-17