Re: The diagram above shows normally distributed data for variables P and
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09 Jun 2024, 12:33
OE
Option A
We can see that the curve for Q is more spread out than that of P.
Since standard deviation measures the spread of the data, we can say that Q has a larger
standard deviation than P.– Correct
Option B:
The mean in a normal curve is at the point where the peak of the curve is attained.
Thus, mean for P is 5 feet while that for Q is 6 feet.
Thus, P does not have a larger mean than Q.– Incorrect
Option C:
In a normal distribution, the mean and median are the same point.
Thus, median for P is 5 feet while that for Q is 6 feet.
Thus, Q has a larger median than P.– Correct
Option D:
The percent of students within one standard deviation of the mean for any normal distribution
is always the same, 68.23%.– Incorrect
Option E:
We can see that there in an overlap between the curves for the 7th and the 10th standards.
Thus, some students of the 7th grade may be taller than some students of the 10th grade.
Incorrect.
The correct answers are options A and C.