At the Farmers' Harvest Market, most of the pumpkins for sale weighed close to 6.8 kilograms. However, there were a few giant pumpkins for sale that weighed close to 45 kilograms.Assume you are planning to buy a special pumpkin at the Farmers' Harvest Market. Which of the following would be the best measure to see how the weight of your chosen pumpkin compares to the weight of other pumpkins for sale at the Farmers' Harvest Market? Group of answer choicesModePercentileStandard DeviationMeanMedia
Question
At the Farmers' Harvest Market, most of the pumpkins for sale weighed close to 6.8 kilograms. However, there were a few giant pumpkins for sale that weighed close to 45 kilograms.Assume you are planning to buy a special pumpkin at the Farmers' Harvest Market. Which of the following would be the best measure to see how the weight of your chosen pumpkin compares to the weight of other pumpkins for sale at the Farmers' Harvest Market? Group of answer choicesModePercentileStandard DeviationMeanMedia
Solution
The best measure to see how the weight of your chosen pumpkin compares to the weight of other pumpkins for sale at the Farmers' Harvest Market would be the percentile.
Here's why:
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Mode: This is the most frequently occurring value in a data set. In this case, it would likely be around 6.8 kilograms, which doesn't tell you much about how your pumpkin compares unless it also weighs 6.8 kilograms.
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Percentile: This is the value below which a certain percent of the data falls. If you know the weight of your pumpkin and the weights of all the other pumpkins, you can calculate the percentile of your pumpkin. This will tell you what percentage of pumpkins are lighter than yours, which is a good comparison measure.
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Standard Deviation: This measures the amount of variation in a set of values. It could tell you how much pumpkin weights vary, but it wouldn't directly tell you how your pumpkin compares to others.
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Mean: This is the average of all the values in a data set. Given the presence of a few giant pumpkins, the mean would be skewed and wouldn't provide a good comparison for your pumpkin unless it was also a giant pumpkin.
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Median: This is the middle value in a data set when the values are arranged in ascending or descending order. Like the mean, the median would be skewed by the presence of a few giant pumpkins and wouldn't provide a good comparison for your pumpkin unless it was also a giant pumpkin.
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