1. The data below shows commuting times (in minutes) from a random sample of 10 employees who work at a company.

    [ 2 , 5 , 8 , 10 , 24 , 31 , 41 , 42 , 44 , 47 ]

    Find the upper quartile.

    41.75 41.5 41 42

  2. Total of 30 farms were selected from Putnam and Overton county, and their corn field are measured in acres.

    County Size Mean Variance
    Putnam 10 13.8 5.288
    Overton 20 22.1 11.77

    Let $X_1,\ldots,X_{10}$ be the acres of corn sampled from Putnam county. Find $\displaystyle\sum_{i=1}^{10} X_i^2$.

    1952 1904 138 47.59

  3. The data below shows commuting times (in minutes) from a random sample of 10 employees who work at a company.

    [ 2 , 2 , 7 , 8 , 11 , 15 , 19 , 27 , 27 , 37 ]

    Find the sample median.

    15.5 11 13.0 15

  4. Total of 30 farms were selected from Putnam and Overton county, and their corn field are measured in acres.

    County Size Mean Variance
    Putnam 10 10.2 16.62
    Overton 20 22.75 27.98

    Let $X_1,\ldots,X_{10}$ be the acres of corn sampled from Putnam county. Find $\displaystyle\sum_{i=1}^{10} X_i$.

    455 557 32.95 102

  5. The data below shows commuting times (in minutes) from a random sample of 10 employees who work at a company.

    [ 8 , 14 , 16 , 20 , 20 , 25 , 32 , 33 , 38 , 39 ]

    Find the lower quartile.

    16 20 18.0 17.0


Department of Mathematics
Last modified: 2025-05-26