Normal Distribution

a.Suppose at an emergency room, the reported systolic blood pressures recorded are approximately bell-shaped with a mean of 125 and a range of 50. Approximately, what would be the minimum and maximum systolic blood pressure?

b. Suppose you had a choice of two professors for a class in which your grade in the course determined whether you were allowed to remain in school. Both professors assign scores ranging from 0 to 100. If you're allowed access to three summary measures (can be measures of central tendency and/or measures of dispersion) of the last 300 scores (but not the actual scores themselves). Which three would you choose and why?

c. People are allowed to join the Mensa organization if their IQ is in the top 2% of the population. There are different tests that can qualify you for Mensa. Suppose the Cattell Culture Fair IIIIQ test is used which has a mean of 100 and a standard deviation of 24. What would be the lowest score you could make on the Cattell Culture Fair III IQ test and still be allowed in Mensa