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The McGraw-Hill Companies, Inc. Name Lesson 8 Display Measurement Data on a Line Plot Homework Helper The zoo lists the weights of several animals in the table. Make a line plot of the weights in the table. Count the number of times each fraction appears in the table. 1 8 appears 4 times. _1 4 appears 2 times. _1 2 appears 4 times. Place the correct number of Xs above each fraction on the number line. Then, use the title from the table to add a title to the line plot. 0 1 1 4 18 12 X X X X X X X X X X Animal Weights (T) Need help? connectED.mcgraw-hill.com Animal Weights (T) _1 8 1 2 _ 1 8 _ 1 8 _ 1 2 1 8 1 2 _ 1 2 _ 1 4 _ 1 4 Practice Refer to the Homework Helper to answer Exercises 1 and 2. 1. Which weight(s) occurred the most often? 2. Find the fair share. Lesson 8 My Homework849 Measurement and Data 5.MD.2 We’re nuts about re nutsre out Math! Copyright © The McGraw-Hill Companies, Inc. John A. Rizzo/Photodisc/Getty Images Problem Solving 3. Make a line plot of the measurements in the table. 4. Refer to the table in Exercise 3. What is the fair share, in pounds, of the cashews? 5. 5 Use Math Tools Explain how you can mentally find the sum of the fractions in Exercise 3 without actually performing the calculations. Test Practice 7. Which is the correct fair share for the measurements shown in the line plot? A 1 6 mile C _1 2 mile B _1 3 mile D _2 3 mile 0 1 1 4 13 18 12 X XX X X X X XX Hiking Distance (mi) Amount of Cashews (lb) _1 2 1 4 _ 1 4

The Correct Answer and Explanation is :

To solve the problem:

  1. Weights That Occur Most Often:
    From the table:
  • ( \frac{1}{8} ) appears 4 times.
  • ( \frac{1}{4} ) appears 2 times.
  • ( \frac{1}{2} ) appears 4 times.
    The weights ( \frac{1}{8} ) and ( \frac{1}{2} ) occur most often, 4 times each.
  1. Fair Share:
    To find the fair share (average weight):
    Add all weights and divide by the number of animals.
    Total weights:
    [
    \frac{1}{8} + \frac{1}{2} + \frac{1}{8} + \frac{1}{8} + \frac{1}{2} + \frac{1}{8} + \frac{1}{2} + \frac{1}{2} + \frac{1}{4} + \frac{1}{4}
    ]
    Convert fractions to have a common denominator (LCD = 8):
    [
    \frac{1}{8} + \frac{4}{8} + \frac{1}{8} + \frac{1}{8} + \frac{4}{8} + \frac{1}{8} + \frac{4}{8} + \frac{4}{8} + \frac{2}{8} + \frac{2}{8}
    ]
    Add: ( \frac{1+4+1+1+4+1+4+4+2+2}{8} = \frac{24}{8} = 3 ). Fair share = ( \frac{3}{10} = 0.3 ).

Line Plot Construction:

Each ( x ) corresponds fraction appearances.

Fraction( # X’s )
( \frac{1}{8} )4
( \frac{1/8[!– Miles missing Chart**

Here’s the corrected breakdown of your line plot and fair share explanation:

Line Plot Explanation:

From the table:

  • ( \frac{1}{8} ) appears 4 times.
  • ( \frac{1}{4} ) appears 2 times.
  • ( \frac{1}{2} ) appears 4 times.

To make the line plot:

  1. Draw a number line with points labeled at ( \frac{1}{8} ), ( \frac{1}{4} ), and ( \frac{1}{2} ).
  2. Place ( X ) marks above each fraction:
  • ( \frac{1}{8} ): 4 ( X )’s.
  • ( \frac{1}{4} ): 2 ( X )’s.
  • ( \frac{1}{2} ): 4 ( X )’s.

Line Plot Example:

Animal Weights (T)
0     1/8      1/4      1/2
      XXXX      XX       XXXX

Fair Share Calculation:

  1. Add all weights:
    [
    \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{4} + \frac{1}{4} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2}.
    ]
    Convert to a common denominator (LCD = 8):
    [
    \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{2}{8} + \frac{2}{8} + \frac{4}{8} + \frac{4}{8} + \frac{4}{8} + \frac{4}{8}.
    ]
    Add:
    [
    \frac{1+1+1+1+2+2+4+4+4+4}{8} = \frac{28}{8} = 3.5.
    ]
  2. Divide by the number of animals (10):
    [
    \text{Fair Share} = \frac{3.5}{10} = 0.35.
    ]

Final Answers:

  1. Most Frequent Weights: ( \frac{1}{8} ) and ( \frac{1}{2} ), 4 times each.
  2. Fair Share: 0.35 pounds.

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