Question

Kelly went on vacation to the Hamptons. She was curious about whether rich people own a lot of TVs, so she went door to door in 333 neighborhoods, asking people how many TVs they owned. Here's what she found: The inventor of the flat-screen TV lived in neighborhood AAA. He owned 787878 TVs. Every home in neighborhood BBB owned 333 TVs. TV ownership in neighborhood CCC was normally distributed with a median of 666 TVs. Which of the following is true? Choose all answers that apply:

A The standard deviation for the number of TVs in neighborhood BBB is abnormally low.
B The interquartile range for TVs in neighborhood AAA is almost certainly the highest interquartile range among the 333 neighborhoods.
C The mean number of TVs in neighborhood CCC is about twice as large as the mean number of TVs in neighborhood BBB.
D The interquartile range and the standard deviation for the number of TVs in neighborhood BBB are equal.

Answer 1

The interquartile range for TVs in neighborhood AAA is likely the highest among the 333 neighborhoods, but the other statements cannot be determined with the given information.

Step-by-step explanation:

The question asks about three neighborhoods: AAA, BBB, and CCC, and the characteristics of TV ownership in each of these neighborhoods. Let's analyze each statement:

A: The standard deviation for the number of TVs in neighborhood BBB is abnormally low. This statement cannot be determined without knowing the actual data. It is not mentioned in the question.

B: The interquartile range for TVs in neighborhood AAA is almost certainly the highest interquartile range among the 333 neighborhoods. This statement is true. Since AAA has one extreme value of 787878 TVs, the interquartile range (the range between the first quartile and the third quartile) will likely be the highest among all neighborhoods.

C: The mean number of TVs in neighborhood CCC is about twice as large as the mean number of TVs in neighborhood BBB. This statement cannot be determined without knowing the actual data. It is not mentioned in the question.

D: The interquartile range and the standard deviation for the number of TVs in neighborhood BBB are equal. This statement cannot be determined without knowing the actual data. It is not mentioned in the question.

Based on the given information, statement B is true. The correctness of statements A, C, and D cannot be determined.