Question

question 9 of 10 > given are the lengths (in feet) of 44 great white sharks. 18.7 12.3 18.6 16.4 15.7 18.3 14.6 15.8 14.9 17.6 12.1 16.4 16.7 17.8 16.2 12.6 17.8 13.8 12.2 15.2 14.7 12.4 13.2 15.8 14.3 16.6 9.4 18.2 13.2 13.6 15.3 16.1 13.5 19.1 16.2 22.8 16.8 13.6 13.2 15.7 19.7 18.7 13.2 16.8 a dotplot of the data and summary statistics are shown here. is this distribution of shark lengths approximately normal? yes, because the median is about halfway between the first and third quartiles. yes, because the distribution is roughly symmetric. yes, because the distribution of data is close to what we would expect based on the empirical rule. yes, because the mean and median are nearly identical.

Explanation:

A normal distribution is symmetric. By observing the dot - plot, the distribution of shark lengths appears roughly symmetric. The other criteria like median being halfway between quartiles, closeness to empirical rule, and similarity of mean and median are not as conclusive as visual symmetry for a quick assessment.

Answer:

Yes, because the distribution is roughly symmetric.