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Answer:
By examining the range and distribution of the weights of the dogs in sections A and B, we can conclude that the weights in Section B are more spread out and the dogs in Section B are generally heavier. Statements (a) and (d) are true, while statements (b) and (c) are false.
Step-by-step explanation:
To determine which statements are true about the weight data for dogs in sections A and B at the local animal shelter, we need to consider the spread and average weights of each section. Section A weights: 11, 15, 56, 3, 21Section B weights: 20, 30, 59, 28, 24, 61, 53, 19, 37, 46, 51, 27, 18, 33, 41, 49, 44, 29, 35, 31, 36, 32Spread: We compare the ranges of the two sections. Section A's range is from 3 to 56 pounds. Section B's range is from 18 to 61 pounds. Section B also has a greater number of dogs with more varied weights, whereas the weights in Section A are closer together. Therefore, the weights of the dogs in Section B are generally more spread out. So, statement (a) is true. Average Weight: A quick inspection of the data indicates that Section B has more dogs with higher weights closer to and over 50 pounds, while Section A has most dogs with weights under 30 pounds. This suggests that the dogs in Section B are generally heavier. So, statement (d) is true. Given these observations, statements (b) and (c) are false.
