Prof Plum's class has a mean of 75.6 and a standard deviation of 25.75.
Prof Scarlett's class has a mean of 77.5 and a standard deviation of 11.83.
Prof Plum's class:
What percentile would be a raw score of 69 be?
P=39.74%
What percentile would a raw score of 100 be?
P=82.89%
What percentage of students received a score 70 or above?
P=58.71%
What percentage of students received a score 80 or above?
P=43.25%
What are the raw scores that bound the middle 95% of distribution?
21.13 and 126.07
What percentage of scores are below 100?
P=82.89
What raw score has 99% below it?
135.6
What percentage of scores are between 90 and 110?
P=19.76%
What percentage of scores are between 60 and 80?
P= 29.66%
Prof Scarlett's class:
What percentile would be a raw score of 69 be?
P=23.58%
What percentile would a raw score of 100 be?
P=97.13%
What percentage of students received a score 70 or above?
P=73.57%
What percentage of students received a score 80 or above?
P=41.68%
What are the raw scores that bound the middle 95% of distribution?
54.31 and 100.69
What percentage of scores are below 100?
P=97.13%
What raw score has 99% below it?
105.06
What percentage of scores are between 90 and 110?
P=14.16%
What percentage of scores are between 60 and 80?
P=51.38%
B. Please answer the below problems by computing the Z scores and indicating who did better?
Two friends are taking statistics courses this semester and wanted to compare who was doing best. Gabriel was taking statistics with Prof. Scarlett, whereas Michael was taking statistics with Prof. Plum. Gabriel got 85 on the first exam whereas Michael got a 88. Who got a better grade? Indicate their relative percentiles.
Aviva and Catherine both got a 93 on the first statistics exam. Aviva is in Prof. Plumes class, whereas Catherine is in Prof. Scarlett's class. Who received the better grade? Indicate their relative percentiles.
Leslie and Sam both got a 71 on the first statistics exam. Sam is in Prof. Plumes class, whereas Leslie is in Prof. Scarlett's class. Who received the better grade? Indicate their relative percentiles.
