Student edition← Line graphs and line plots

Line graphs and line plots

Advanced Math 4 · Unit 9 · line-plots-graphs · Teacher edition

line-plots-graphs
Name ______________________________Date ______________
  1. 1.

    A class measured 1212 pencils to the nearest quarter inch and made a line plot. The table shows the data.

    Length (inches)4124\frac{1}{2}4344\frac{3}{4}555145\frac{1}{4}5125\frac{1}{2}
    Number of pencils2244331122

    How many pencils are shorter than 55 inches?

    Answer: ______________

  2. 2.

    A class measured 1212 pencils to the nearest quarter inch and made a line plot. The table shows the data.

    Length (inches)4124\frac{1}{2}4344\frac{3}{4}555145\frac{1}{4}5125\frac{1}{2}
    Number of pencils2244331122

    If all 1212 pencils were laid end to end, what would the total length be, in inches? Enter a fraction, mixed number, or decimal.

    Answer: ______________

  3. 3.

    Leo measured 1010 crayons to the nearest eighth of an inch and made a line plot. The table shows the data.

    Length (inches)2182\frac{1}{8}2142\frac{1}{4}2382\frac{3}{8}
    Number of crayons332255

    What is the total length of all 1010 crayons, in inches?

    1. (A)

      1010

    2. (B)

      223422\dfrac{3}{4}

    3. (C)

      6346\dfrac{3}{4}

    4. (D)

      213421\dfrac{3}{4}

Answer key — Line graphs and line plots

  1. 1.
    6line-plots-graphs-01

    Shorter than 55 inches: 4124\frac{1}{2} (22 pencils) and 4344\frac{3}{4} (44 pencils). 2+4=62 + 4 = \mathbf{6} pencils.

  2. 2.
    237/4line-plots-graphs-02

    2×412=92 \times 4\frac{1}{2} = 9; 4×434=194 \times 4\frac{3}{4} = 19; 3×5=153 \times 5 = 15; 1×514=5141 \times 5\frac{1}{4} = 5\frac{1}{4}; 2×512=112 \times 5\frac{1}{2} = 11. Total: 9+19+15+514+11=5914=23749 + 19 + 15 + 5\frac{1}{4} + 11 = 59\frac{1}{4} = \mathbf{\frac{237}{4}} inches.

  3. 3.
    (B)

    223422\dfrac{3}{4}

    line-plots-graphs-03

    638+448+1178=21148=2268=22346\frac{3}{8} + 4\frac{4}{8} + 11\frac{7}{8} = 21\frac{14}{8} = 22\frac{6}{8} = \mathbf{22\frac{3}{4}} inches. (1010 is the number of crayons, not a length; 6346\frac{3}{4} adds the three lengths once each; 213421\frac{3}{4} drops the regrouped whole.)