SOLUTION: One normal curve has a mean of 20 and a standard deviation of 5. A second normal curve has a mean of 5 and a standard deviation of 20. The curve that is more dispersed, or spread o

Algebra ->  Probability-and-statistics -> SOLUTION: One normal curve has a mean of 20 and a standard deviation of 5. A second normal curve has a mean of 5 and a standard deviation of 20. The curve that is more dispersed, or spread o      Log On


   



Question 1085502: One normal curve has a mean of 20 and a standard deviation of 5. A second normal curve has a mean of 5 and a standard deviation of 20. The curve that is more dispersed, or spread out, is

the first normal curve.

the second normal curve.

both; they are equally spread out.

neither; by definition, a normal curve shows no spread.

Found 2 solutions by Fombitz, Theo:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The large the standard deviation, the wider the spread of the data.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the one with the greater standard deviation is wider, or more dispersed.

they're both normal distributions, which means that the mean and the mode and the median are the same point in the distribution curve.

if you're looking for a point that is three standard deviations above or below the mean, then the curve with the mean of 20 and a standard deviation of 5 will go from 5 to 35, while the curve with the mean of 5 and the standard deviation of 20 will go from -55 to 65, a much wider spread.