The median weight of 15 dogs in a pet store is 12 pounds. Which action could change the median?
The store gets a new 7-pound dog.
A 10-pound dog loses 4 pounds.
A 7-pound dog gains 2 pounds.
The store gets a new 12-pound dog.
The median weight of 15 dogs in a pet store is 12 pounds. Which action could change the median?
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To determine which action could change the median weight of the dogs, let’s consider the options:
1. The store gets a new 7-pound dog. – Adding a 7-pound dog would not change the median since it would be less than the current median (12 pounds) and wouldn’t affect the middle of the data set.
2. A 10-pound dog loses 4 pounds. – This dog would then weigh 6 pounds, but since it’s still below the current median, it wouldn’t change the position of the median.
3. A 7-pound dog gains 2 pounds. – This dog would then weigh 9 pounds, still under the median of 12 pounds, so this would also not affect the median.
4. The store gets a new 12-pound dog. – This won’t change the median either, as the number of dogs at the median weight is being added to.
None of these actions would change the median weight from 12 pounds.
However, if we want an action that could potentially change the median, we can hypothesize another scenario, such as getting a new dog heavier than the current median (e.g., a 15-pound dog). That could shift the distribution and potentially the median.
If limited to the provided options, the answer is that none of them would effectively change the median weight of the dogs. If you’re looking for further details or examples on how median works, please check the extended services page!