All of the following would be evidence that you do not have a normal distribution except:

A. the fact that 75% of the observations have a value below the mean
B. a normal quantile plot suggests an obviously curved line.
C. The presence of multiple modes
D. The likelihood for all values of x is the same
E. None of the above

Question

All of the following would be evidence that you do not have a normal distribution except:

A. the fact that 75% of the observations have a value below the mean
B. a normal quantile plot suggests an obviously curved line. 
C. The presence of multiple modes
D. The likelihood for all values of x is the same
E. None of the above

hockeychick23 · Answer

@perl

hockeychick23 · Answer

I think its C I just wasn't positive

perl · Answer

in a normal distribution, 50% of the values are below the mean (not 75%)

perl · Answer

remember in a normal distribution, the mean  median and mode coincide

hockeychick23 · Answer

oh ok, so wouldn't that be evidence that you don't have a normal distribution?

perl · Answer

right

perl · Answer

this one is a little tricky

perl · Answer

A,B,C are evidence that it is not a normal distribution

hockeychick23 · Answer

ok so D. would be the correct answer then

hockeychick23 · Answer

i didn't think all x values could be the same

perl · Answer

thats tricky, because technically 
P( X =k) = 0 , for any k

perl · Answer

remember in a normal distribution you find probability over an interval, or the area over an interval under the curve. at a specific value of x, the probability is always zero since the area is zero (just a line)

hockeychick23 · Answer

Oh ok, so should it still be D then?

perl · Answer

unless they mean , the probability is the same because it is a uniform distribution. 
so the question is a bit ambiguous

hockeychick23 · Answer

ok thanks!

perl · Answer

was d correct

hockeychick23 · Answer

nope

anonymous · Answer

None of the above. ~~~ EDDIE DARK CONFIRMED YO! ;)