The results of the nationwide aptitude test in Mathematics are normally distributed with mean = 80, and standard deviation=15. What is the percentile rank of the score 84?

In q survey of 18 year old males, the mean weight was 160.5 pounds with a standard deviation of 46.4 pounds What weight represents the 96th percentile What weight represents the 48th percentile What weight reprints the third quartile

National park services, a bureau of the US government responsible for park management, is interested in how the scores of their park rangers today are better or worse than in the past. The cognitive test that the forest rangers take as remained the same over the last five years. Below are the scores for each year, compute the mean, median, mode, range, and standard deviation for each year. ​       ​Current Year 56, 45, 64, 75, 87, 81, 69, 81, 58, 92, 99, 95, 75, 92, 73, 83, 47, 69, 57, 74, 62, 74, 73, 100, 83   Five Years Ago 66, 78, 75, 79, 59, 74, 55, 89, 55, 79, 68, 27, 69, 95, 68, 90, 65, 79, 69, 79, 87, 86, 98, 81, 96

Each students in a local school district write a national examination. The average on this year national exam is 150 with a standard deviation of 20. Schools where the overall average is between 1.5 and 3.0 standard deviations above the mean are eligible for additional funding. What is the average range a school must achieve to be eligible for funding?