Answer :
Final answer:
The 68-95-99.7 rule, also known as the empirical rule, applies only to a normal (bell-shaped and symmetric) distribution. Without knowing the mean and standard deviation of your data set, it's not possible to apply this rule directly to find the percentage of values between two given points. The percentages 68%, 95% and 99.7% correspond to data within one, two and three standard deviations from the mean, respectively.
Explanation:
To answer the question - What is the percentage of values in the distribution between 30 and 36 using the 68-95-99.7 rule? - we need to know more information regarding the distribution of these data values. The 68-95-99.7 rule, or the empirical rule, is applicable only for data distribution that follows a bell-shaped and symmetric pattern, which indicates a normal distribution. Without knowing the mean and standard deviation of this distribution, it is not possible to apply the empirical rule directly.
However, if we assume that 30 and 36 are respectively one and two standard deviations away from the mean (thus falls within the scope of the empirical rule), then about 68% of the values would lie between these two numbers as per the rule. Again, this assumption is based on incomplete information and should be used cautiously.
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