Question

for distribution a, the mean is 40, the s.d. was 8.
for distribution b the mean was 80, and the s.d. was 10. how do the graphs of each distribution differ from each other?

select one:
a. the graph for distribution a is wider than b.
b. the graph for distribution b is wider than a.
c. the graph for distribution b is a flatter curve than a.
d. a & c
e. b & c

Explanation:

Step1: Analyze standard deviation width

Standard deviation (S.D.) measures spread: larger S.D. = wider graph.
Distribution A S.D. = 8, Distribution B S.D. = 10. Since $10>8$, B's graph is wider than A.

Step2: Relate S.D. to curve flatness

A wider spread (higher S.D.) means the curve is flatter (data is more dispersed). So B's curve is flatter than A.

Step3: Match to options

Points 1 and 2 correspond to options b and c.

Answer:

e. b & c