Question
Below you are given the graphs of two normal density curves. Use these density curves to answer the following questions: (a) Which curve has the larger standard deviation? ____________ (b) Which curve has the smaller mean? ___________ (c) Which distribution has a larger percent of its data between 30 and 40 units? __________ (d) Give a rough estimate of the standard deviation of the density curve in Graph B: ________ Use the following information for questions 4 and 5. The heights of adult men in a certain town have been found to follow a normal distribution with a mean of 69.1 inches and a standard deviation of 3.5 inches.
Explanation / Answer
a) B) , the graph is more spreaded
b) A) has lower mean
as A has mean = 30
B has mean = 40
c)
for A - 30 -40 , it is around 50 %
for B , it is around 34 %
hence A
d)
for B)
sd = 10