Question

A wildlife biologist catches and releases 20 fish from two different lakes at random locations. He catches 10 fish at Lake Palmer and 10 fish at Lake Dalton. He measures the length of each fish to the nearest quarter of an inch. Palmer Dalton First Quartile 6.75 5.5 Second Quartile (Median) 10.25 6.75 Third Quartile 13 7.5 Based on the samples, what generalization can be made? A. Not enough information is provided to draw any of these conclusions. B. The first quartile value at Lake Palmer is 1.25 inches longer than the first quartile value at Lake Dalton. C. The interquartile range for Lake Dalton is 2 inches greater than the interquartile range for Lake Palmer. D. At least 25 percent of the fish in both lakes are no longer than 6 inches

Please put the correct answer, if it's correct i will mark with the crown and give a good rating
Thanks!

Answer 1

Option B is the correct answer, as it correctly states that the first quartile value of fish lengths at Lake Palmer is 1.25 inches longer than that of Lake Dalton.

Step-by-step explanation:

The question provides quartile data for fish lengths caught in two different lakes and asks to generalize the findings based on the provided information. First, let's analyze the provided options:

• Option B: Incorrect, because the difference between the first quartiles of Lake Palmer (6.75 inches) and Lake Dalton (5.5 inches) is 1.25 inches, hence true.
• Option C: Incorrect, because the interquartile range (IQR) for Lake Dalton (7.5 - 5.5 = 2 inches) is not 2 inches greater than the IQR for Lake Palmer (13 - 6.75 = 6.25 inches).
• Option D: Incorrect because at least 25 percent of the fish in Lake Dalton are no longer than 5.5 inches, and at least 25 percent of the fish in Lake Palmer are no longer than 6.75 inches. Hence, not all fish in both lakes are no longer than 6 inches.

Therefore, the correct generalization can be made from Option B. It provides accurate comparison based on the first quartile values of fish lengths in both lakes.