A private college advertised that last year their freshman s

A private college advertised that last year their freshman students, on average, had a score of 1120 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.

Next year at least one of their freshman students will have a score of at least 1120 on the exam.

Last year some of their freshman students had a score of more than 950 on the exam.

Last year at least one of their freshman students had a score of 1120 or above on the exam.

Last year more than half of their freshman students had a score of at least 1120

on the exam.

Last year some of their freshman students had a score of exactly 1120 on the exam.

None of the above statements is true.

Solution

The mean is the average of all numbers and is sometimes called the arithmetic mean. To calculate mean, add together all of the numbers in a set and then divide the sum by the total count of numbers. For example, in a data center rack, five servers consume 100 watts, 98 watts, 105 watts, 90 watts and 102 watts of power, respectively. The mean power use of that rack is calculated as (100 + 98 + 105 + 90 + 102 W)/5 servers = a calculated mean of 99 W per server.

So is none of the above statements is true