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In an online survey, gym members react to the statement by adjusting the position of a needle. The responses have values of -4, 2, 1.6, 0.4, 0, 2.1, -5.0, -4.7, 0.6, 1.1, 0.8, 0.4, and 2.1. Explain how two people can use the results of the survey to reach different conclusions about whether the gym should adjust its membership prices.

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Final answer:

Different interpretations of the online survey about gym membership prices arise from the various analytical methods one can use, such as calculating the mean, and median, giving weight to extreme values, or considering the context of the responses.

Step-by-step explanation:

In the context of an online survey regarding gym membership prices, different conclusions may be drawn by individuals analyzing the given survey response data with values such as -4, 2, 1.6, and so forth. This is largely because the data can be interpreted in various ways depending on one's perspective and method of analysis. For example, one person might calculate the average (mean) of the responses and use this to gauge general sentiment. If we were to compute the average, we might find that it leans towards a positive or negative sentiment. Another individual might consider the median or mode of the responses, or perhaps focus only on the most extreme values to argue for or against a change in prices.

Additionally, the context of the values (whether they indicate satisfaction or dissatisfaction) and how these data points are weighed can lead to different conclusions. Someone who gives more importance to highly positive or highly negative responses could interpret the results differently than someone who considers all opinions equally. As such, the analysis of survey data is not just a matter of numbers but also a matter of interpretation.

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