To evaluate the truth of each statement based on the provided line plot of weights of elementary math books, let's break down and analyze the information step by step.
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8 math books weigh less than 2 pounds.
- The weights that are less than 2 pounds are: 1 2/8 (1.25), 1 3/8 (1.375), 1 4/8 (1.5), 1 7/8 (1.875), and 2 1/8 (2.125). However, if we only consider weights strictly less than 2 pounds, we find: 1.25 (1 dot), 1.375 (3 dots), 1.5 (1 dot), and 1.875 (3 dots) which total gives 8 dots (or books).
- This statement is true.
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The outlier is 3 pounds.
- An outlier is typically a data point that is significantly different from the others. In this case, the weights represented are primarily in the range from 1.25 to 2.125 pounds, except for the 3 pounds, which stands as a single dot. Therefore, 3 pounds can be considered an outlier.
- This statement is true.
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The combined weight of the 2 lightest books is 158 pounds.
- The two lightest weights are 1 2/8 and 1 3/8. Their combined weight can be calculated: 1.25 + 1.375 = 2.625 pounds. This clearly does not equal to 158 pounds.
- This statement is false.
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The difference between the lightest and the heaviest book is 158 pounds.
- The lightest book (1 2/8 or 1.25 pounds) and the heaviest book (3 pounds) have a weight difference of 3 - 1.25 = 1.75 pounds. This does not equal 158 pounds.
- This statement is false.
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None of the math books weigh 138 pounds.
- Since all weights provided are much less than 138 pounds, this statement is definitely true.
- This statement is true.
Based on this evaluation, the true statements are:
- 8 math books weigh less than 2 pounds.
- The outlier is 3 pounds.
- None of the math books weigh 138 pounds.
Thus, the selected true statements are the first, second, and last ones.