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Suppose the data have a bell-shaped distribution with a mean 35 of and a standard deviation of 7. Use the empirical rule to determine the percentage of data within of the following range: 14 to 56

User MatheM
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Final answer:

Approximately 50% of the data falls within the range of 14 to 56, based on the empirical rule and given mean and standard deviation.

Step-by-step explanation:

The empirical rule states that for data with a bell-shaped distribution, approximately 95% of the data falls within two standard deviations of the mean. In this case, the mean is 35 and the standard deviation is 7. Therefore, we can calculate the range by multiplying the standard deviation by 2, which gives us a range of 14. We can then find the percentage of data within the range 14 to 56 by dividing the range by the total range (2 standard deviations) and multiplying by 100. So, the percentage of data within the range 14 to 56 is (14/28) * 100 = 50%.

User Fancyyou
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