A private college advertised that last year their freshman students, on average, had a score of 1160 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 1160 on the exam.- Last year some of their freshman students had a score of more than 1420 on the exam.- Last year more than half of their freshman students had a score of at least 1160 on the exam.- Last year at least one of their freshman students had a score of 1160 or above on the exam.- Last year some of their freshman students had a score of exactly 1160 on the exam.- None of the above statements are true.**Options:**- Checkbox for each statementThe interface includes:- "Explanation" button- "Check" buttonThe interface suggests inputs for verification and further explanation.

Given a private college advertised that last year that freshman students, on average had a score of 1160. Average or mean value may be defined as the sum of all the observations divided by the total number of observations. It gives an average value around which observations may lie. In the given question the average value is 1160 which indicates that there are some freshmen who have scored 1160 or may be few which may score higher or lower. We can state that Last year some of their freshman students had a score of 1160 or above on the exam, as most of the students has to score this much to provide an average value. Option D is correct. Other options are incorrect. Option A is incorrect as we cannot predict the average value for next year on the basis of the previous dataset. Option B is incorrect as to reach an average of 1160, the observations should lie near the value of 1160. If more than half students scores 1420, average value of 1160 cannot be reached. Option c is incorrect as to reach an average of 1160, the observations should lie near the value of 1160. If more than half students scores 1160, average value of 1160 cannot be reached. Option E is incorrect as it may or may not possible that students have scored 1160 exactly. Some may have scored high and low.