By Using the Empirical formula we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
<h3>What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches?</h3>
According to the empirical rule :
(1) 68% of the measures should come within 1 standard deviation of the mean.
(2 95% of the measures should come within 2 standard deviations of the mean.
(3) 99.7% of the measures should come within 3 standard deviations of the mean.
So we can see in this problem
The mean is 7 inches.
The standard deviation is 1.2 inches.
4.6 = 7 - 2(1.2)
9.4 = 7 + 2(1.2)
The measures are within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
Thus by using the Empirical Rule we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
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