6. Using Stat/Basic Statistics/Display Descriptive Statistics and a stem and lea

Question

6. Using Stat/Basic Statistics/Display Descriptive Statistics and a stem and leaf plot, determine the actual percentage of raisins that is between 1 standard deviation below and 1 standard deviations above the mean for the variable AFTER 21% percent of the variable AFTER is between+ or - 1 standard deviation of the its mean. Based on the results on question #6, do you believe the variable AFTER more closely follows a mound shaped and symmetric distribution (bell curve: use the Empirical Rule to evaluate) or another distribution (use Chebyshev to 7, evaluate). The variable AFTER does does not (circle one) approximately follow a mound shaped and symmetric distribution (bell curve). Please explain your answer.

Explanation / Answer

Ans:

The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, provides a quick estimate of the spread of data in a normal distribution given the mean and standard deviation. Specifically, the empirical rule states that for a normal distribution:

From the definition of empirical rule above:

As,67.71% i,e. approximately 68% of data lies within one standard deviation ,so based on empirical rule we can say that distribution of variable AFTER closely follows a mound shaped and symmetric distribution(bell curve).

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