Question

scientists measured the lengths of a species of lizard in a region. the graph below shows that the measured lengths have a normal distribution. about what percent of the lizard population is between 22 and 26 cm long? a. 17% b. 25% c. 34% d. 50%

Explanation:

Step1: Recall normal - distribution properties

In a normal distribution, about 68% of the data lies within one standard - deviation of the mean, 95% within two standard - deviations, and 99.7% within three standard - deviations. The mean is at the center of the normal curve. If we assume the mean is at 22 (since the curve is symmetric and we are interested in the range from 22 to 26), and we know that the range from the mean to one standard - deviation above the mean contains about 34% of the data.

Step2: Analyze the given range

The range from 22 to 26 is from the mean to one standard - deviation above the mean (assuming a symmetric normal distribution centered at 22).

Answer:

C. 34%