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Use the line plot. Which of the following statements are true? Select all that apply.

A line plot named "Weights of Elementary Math Books" shows data from one and two-eighths to three pounds. One and two-eighths pounds has one dot. One and three-eighths pounds has three dots. One and four-eighths pounds has one dot. One and seven-eighths pounds has three dots. Two and one-eighth pounds has two dots. Two and two-eighths pounds has one dot. Three pounds has one dot.

(1 point)
Responses

8 math books weigh less than 2
pounds.

8 math books weigh less than 2 pounds.

The outlier is 3
pounds.

The outlier is 3 pounds.

The combined weight of the 2 lightest books is 1 5/8
pounds.

The combined weight of the 2 lightest books is 1 5 8 pounds.

The difference between the lightest and the heaviest book is 1 5/8
pounds.

The difference between the lightest and the heaviest book is 1 5 8 pounds.

None of the math books weigh 1 3/8
pounds.

1 answer

To analyze the statements based on the line plot of the weights of the elementary math books, let's evaluate the claims one by one based on the given data.

  1. 8 math books weigh less than 2 pounds.

    • The weights listed are: 1 1/8 (1 dot), 1 3/8 (3 dots), 1 4/8 (1 dot), 1 7/8 (3 dots), 2 1/8 (2 dots), 2 2/8 (1 dot), and 3 (1 dot).
    • The heaviest book weighs 3 pounds, meaning there are others that weigh less than 2 pounds. In total, counting the number of books below 2 pounds:
      • 1 1/8: 1 book (1 dot)
      • 1 3/8: 3 books (3 dots)
      • 1 4/8: 1 book (1 dot)
      • 1 7/8: 3 books (3 dots)
      • 2 1/8: 2 books (2 dots)

    This statement is true because all books, except for those weighing 3 pounds, weigh less than 2 pounds.

  2. The outlier is 3 pounds.

    • Considering the distribution of weights, the weight of 3 pounds is indeed higher than the other weights (the next highest is 2 1/8 pounds).

    This statement is true; 3 pounds is an outlier.

  3. The combined weight of the 2 lightest books is 1 5/8 pounds.

    • The two lightest weights are 1 1/8 and 1 3/8. To find their combined weight:
      • 1 1/8 = 1.125 pounds
      • 1 3/8 = 1.375 pounds
      • Combined: 1.125 + 1.375 = 2.5 pounds

    This statement is false.

  4. The difference between the lightest and the heaviest book is 1 5/8 pounds.

    • Lightest: 1 1/8 = 1.125 pounds.
    • Heaviest: 3 pounds.
    • Difference: 3 - 1.125 = 1.875 pounds.

    This statement is false.

  5. None of the math books weigh 1 3/8 pounds.

    • There are three books that weigh 1 3/8 pounds.

    This statement is false.

Based on this analysis, the true statements are:

  • 8 math books weigh less than 2 pounds.
  • The outlier is 3 pounds.