Answer:
68% of the data is between 5.7 and 7.7 grams.
Step-by-step explanation:
According to the empirical rule for a normal distribution, 68% of data falls within one standard deviation, 95% of data falls within two standard deviation and 99.7% of data falls within three standard deviation.
Given that:
mean (μ) = 6.7 grams, standard deviation (σ) = 1 gram.
From the empirical rule:
68% of the data is between one standard deviation i.e μ ± σ = 6.7 ± 1 = 5.7, 7.7
Therefore 68% of the data is between 5.7 and 7.7 grams.
