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Susan runs an apple and pear orchard. She is collecting data on the average weights of apples, but discovers that the fruit that was weighed for her data included pears.  Explain the issues with using this data to find the average weight of apples. Make sure you refer to the population of the data.

Question

Susan runs an apple and pear orchard. She is collecting data on the average weights of apples, but discovers that the fruit that was weighed for her data included pears.  Explain the issues with using this data to find the average weight of apples. Make sure you refer to the population of the data.

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Solution

The main issue with using this data to find the average weight of apples is that it is not representative of the population Susan is interested in. The population in this case refers to all the apples in the orchard. However, the data collected includes weights of both apples and pears.

  1. Incorrect Population: The data collected is not solely based on the population of apples, but also includes pears. This means that the data is not a true representation of the population of apples, thus leading to inaccurate results.

  2. Skewed Data: Pears might have a different average weight than apples. If pears are generally heavier or lighter than apples, including them in the data will skew the average weight, making it higher or lower than the actual average weight of apples.

  3. Inaccurate Results: As a result of the above issues, any conclusions drawn from this data about the average weight of apples will be inaccurate. The average weight calculated from this data will be the average weight of both apples and pears, not just apples.

In conclusion, for Susan to find the accurate average weight of apples, she needs to collect data that only includes the weights of apples, not pears.

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