Note More than one statement could be true If none of the st

Note: More than one statement could be true. If none of the statements is true, mark the appropriate box.

Last year at least one of their freshman students had a score of less than 1280 on the exam.

Last year some of their freshman students had a score of 1140 or above on the exam.

Next year at least one of their freshman students will have a score of at least 1140 on the exam.

Last year some of their freshman students had a score of exactly 1140 on the exam.

None of the above statements is true.

A private college advertised that last year their freshman students, on average, had a score of 1140 on the college entrance exam. Assuming that average refers to the mean, which of the following claims must be true based on this information?

Note: More than one statement could be true. If none of the statements is true, mark the appropriate box.

Solution

only the 2nd and 3rd claim is correct as there must be one score atleast equal to or more than the mean in last year, same goes for less than/equal to mean. First is wrong because this is mean, not median. 4th is about next year. 5th may not be true with certainity.

Last year at least one of their freshman students had a score of less than 1280 on the exam.

Last year some of their freshman students had a score of 1140 or above on the exam.

Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last year at least one of their freshman students had

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