SOLUTION: The mean and standard deviation of 500 students who took a statistics final were 72 and 8, respectively. The grades have a mound-shape distribution. Based upon this information, th
Algebra.Com
Question 1032019: The mean and standard deviation of 500 students who took a statistics final were 72 and 8, respectively. The grades have a mound-shape distribution. Based upon this information, the best estimate of the percentage of students who scored higher than 80 on the exam is
A 68%
B 32%
C 16%
D 5%
E 2.5%
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The mean and standard deviation of 500 students who took a statistics final were 72 and 8, respectively. The grades have a mound-shape distribution. Based upon this information, the best estimate of the percentage of students who scored higher than 80 on the exam is
------
(80-72)/8 = 1
That means a score of 80 is one standard deviation above the mean>
-------------------
Since 68% of the data is within 1 standard deviation of the mean,
34% is within 1 std to the right of the mean.
So 50% - 34% = 16% of the scores are higher than 80
------------
Cheers,
Stan H.
--------------
A 68%
B 32%
C 16%
D 5%
E 2.5%
RELATED QUESTIONS
The mean and standard deviation of 500 students who took a statistics final were 72 and... (answered by robertb)
The mean and standard deviation of 500 students who took a statistics final were 72 and... (answered by Boreal)
The mean and standard deviation of 500 students who took a statistics final were 72 and... (answered by robertb)
A Large group of students took a test in Math and the final grades have a mean of 75 and... (answered by Boreal)
A group of more than 1000 students took a test in Mathematics and their final grades have (answered by rothauserc)
A man reports the final scores in his statistics course are normally distributed with a... (answered by ewatrrr)
The grades on certain statistics tests are normally distributed with a mean of 76 and a... (answered by math-vortex)
A statistics teacher believes that the final exam grades for her elementary statistics... (answered by stanbon)
A large group of students took a test in physics and the final grade have a mean of 70... (answered by Boreal)