Question

Use the information in the table to answer the question. A 3-column table has 1 row. The first column is labeled Species with entry Goldfish. The second column is labeled Mean with entry 7 inches. The third column is labeled Standard Deviation with entry 1. 2 inches. What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches? 34% 68% 95% 99. 7%.

Answer 1

By Using the Empirical formula we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches?

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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