Select all the correct answers.The local animal shelter has two dog sections: A and B. Tristan weighed all of the dogs in each section and recorded their weights, in pounds, below.Section A Section B11 20 1530 56 593 28 2124 9 6153 19 37 37 46 5121 27 1833 41 4944 29 3531 36 32Which of the following statements are true about this data? The weights of the dogs in section B are generally more spread out. The dogs in section A are generally heavier. The dogs in section B are generally heavier. The weights of the dogs in section A are generally more spread out.
Question
Select all the correct answers.The local animal shelter has two dog sections: A and B. Tristan weighed all of the dogs in each section and recorded their weights, in pounds, below.Section A Section B11 20 1530 56 593 28 2124 9 6153 19 37 37 46 5121 27 1833 41 4944 29 3531 36 32Which of the following statements are true about this data? The weights of the dogs in section B are generally more spread out. The dogs in section A are generally heavier. The dogs in section B are generally heavier. The weights of the dogs in section A are generally more spread out.
Solution
To answer this question, we need to calculate the average weight and the spread of the weights for the dogs in both sections A and B.
First, let's calculate the average weight for each section:
Section A: (11+30+3+24+53+21+33+44+31)/9 = 27.11 pounds Section B: (20+56+28+9+19+37+37+46+27+41+29+36+32)/13 = 32.69 pounds
From this, we can see that the dogs in section B are generally heavier than those in section A.
Next, let's calculate the spread of the weights for each section. We can do this by finding the range, which is the difference between the highest and lowest weights:
Section A: 53 - 3 = 50 pounds Section B: 56 - 9 = 47 pounds
From this, we can see that the weights of the dogs in section A are generally more spread out than those in section B.
So, the correct statements are: "The dogs in section B are generally heavier." and "The weights of the dogs in section A are generally more spread out."
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