What is the error in Priya's thinking about the histogram distribution?

Priya looks at a histogram of a distribution with a mean of 5.6 grams and a standard deviation of 1.4 grams. She claims that approximately 68% of the data is between 4.9 and 6.3 grams. However, this claim is incorrect as it suggests that the range she mentioned covers one standard deviation.

Error in Priya's Thinking:

It appears that Priya misunderstood the range of one standard deviation with the range of two standard deviations when she stated that roughly 68% of the data falls between 4.9 and 6.3 grams.

When referring to a normal distribution, about 68% of the data falls within one standard deviation from the mean. In this case, one standard deviation from the mean of 5.6 grams would be from 4.2 grams to 7.0 grams. Hence, Priya's claim does not accurately represent the data within one standard deviation.

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