To qualify for a special program at university, you had to write a standardized test. The test had a maximum score of 750, with a mean score of 540 and a standard deviation of 70. Scores on this test were normally distributed. Only those applicants scoring above the third quartile (the top 25 %) are admitted to the program. What score do you need to get to be admitted to the program?

Ten students take a 10-point test. The mean score is 8. Could the median be 10? Could the median be 5? In each case, explain why or why not.

Jane got the following grades (%) on her final year report card:76, 94, 56, 78, 62, 88, 94, 86 and 72, determine for Jane her:iv. Mean Deviation

Randy took a standardized test that is normally distributed. He scored a 105 on the test. The nationwide mean score on the test was 94 and the standard deviation was 6.2. What percent of the tested population scored higher than Randy on the test? Round to the nearest whole percent. O 2% 4% 96% O 94% 11%

In a city with three high schools, all the ninth graders took a Standardized Test, with these results: High School Mean score on test Number of ninth graders Glenwood 77 259 Central City 90 344 Lincoln High 66 171 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was 77.7 . Of course, that is incorrect. What is the mean score for all ninth graders in the city? USE EXCEL. Round your answer to one decimal place.

On the SAT, the average Writing score is 490 points and the average Math score is 547 points. The standard deviation is 89 points on each part of the test. Now suppose 61 test takes are selected.  14% of the time the sample average Math score should be less than what? (Round to four decimals)

Juan and his family are relocating to Los Angeles. They purchased a home they really like, which cost $739,000 . The mean home price in the area is $ 735,000 with a standard deviation $17,050 . Find the z-score of the price of Juan's home relative to the prices among all the homes in the area. Round your answer to two decimal places. z=

On the past mathematics test, the bottom 20% of students failed to pass the test. The mean for the test was 55 and the standard deviation was 11. what was the passing score

Jane got the following grades (%) on her final year report card:76, 94, 56, 78, 62, 88, 94, 86 and 72, determine for Jane, her:i. Mean scoreii. Median scoreiii. Modal scoreiv. Mean Deviation

Suppose 6 students take an exam, and the mean score is 82.5. Five of the student scores are as follows:95, 78, 85, 56, and 96. What is the sixth student’s score?