1. 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 11.6 10.04
    Overton 20 22.5 23.21

    Find the overall mean.

    11.6 17.05 18.86 22.5

  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 12.4 4.266
    Overton 20 21.45 16.47

    Let $X_1,\ldots,X_{30}$ be the acres of corn sampled from Putnam and Overton county. Find $\displaystyle\sum_{i=1}^{30} X_i$.

    429 124 33.85 553

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

    [ 2 , 4 , 6 , 31 , 36 , 42 , 44 , 47 , 48 , 49 ]

    Find the lower quartile.

    31 12.25 18.5 6

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

    [ 2 , 6 , 6 , 8 , 13 , 34 , 47 , 47 , 48 , 49 ]

    Find the sample median.

    13 23.5 34 26.0

  5. 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 7.4 1.155
    Overton 20 11.5 3.736

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

    558 10.39 548 74


Department of Mathematics
Last modified: 2024-11-22