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For many different weeks, it is found that the discard weight per household has a bell-shaped (normal) distribution. According to the empirical rule, there is about _____% of the discard weight per household within 1 standard deviation of the mean.

Select the correct answer for the blank in the above statement:

A. 0
B. 68
C. 75
D. 89
E. 95
F. 99.7

Answer :

According to the empirical rule, approximately 68% of the discard weight per household is expected to fall within 1 standard deviation of the mean.


The empirical rule, also known as the 68-95-99.7 rule, is a statistical guideline that describes the distribution of data in a normal (bell-shaped) distribution. According to this rule:
- About 68% of the data falls within 1 standard deviation of the mean.
- Approximately 95% of the data falls within 2 standard deviations of the mean.
- Around 99.7% of the data falls within 3 standard deviations of the mean.

In this case, since we are specifically interested in the discarded weight per household, we can apply the empirical rule to estimate the percentage of data that falls within 1 standard deviation of the mean. The value of 68% represents the proportion of the discard weight per household that is expected to fall within the range defined by the mean plus or minus 1 standard deviation.

Therefore, the correct answer is 68%.

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