CFA Practice Question

There are 410 practice questions for this study session.

CFA Practice Question

A distribution has a mean of 7 and a range of -100 to +50. The distribution is ______.
A. left skewed
B. defective
C. right skewed
Explanation: The range of values is larger to the left of the mean. Hence, the distribution is left-skewed.

User Contributed Comments 12

User Comment
haarlemmer Mean is influenced by the tail.
chuong Median = (-100+50)/2 = 25
Mean = 7
Median>mean ->Left skewed distribution
melmilesxx doesn't that equal -25 so median < mean??
rayrayrain median is not (-100 + 50 )/2 = - 25 , in this case, median is greater than mean (7), and mode should be greater than median.
joe3 In this case, there should be more numbers between 7 to 50 than the numbers between -100 to 7, otherwise the mean will probably be a negative number.
So it is left skewed distribution which has fewer,extreme numbers on the left side and more,small numbers on the right.
Shelton More # in (7,50) =>
Median > 7 =>
Negative / Left skewed
bahodir Since the mean is 7, more numbers to in the range (7;50), so that the mode is in this range. If mode > mean, the distribution is skewed to the left.
motoloco median is not (-100+50)/2 or something like this...median counts number of items no average...
bikegeek mean, median, mode. Keep them in alphabetical order and when you compare them, the signs will point to the skew... mean > median > mode.. right skew
mean < median < mode... left skew
gazelle Thank you bikegeek
Profache "Skew" can be seen as the "Skinny" part of the distribution. Since the mean = 7 is closer to 50 than it is closer to -100, the "fat" part of the distribution is located more to the right side. And the skinny (skew) part of the distribution will be more to the left (negative).
rjdelong If this were normally distributed it would have median, mode, and mean all =-25 the middle bin in the histogram. However, the mean in this question is to the right of it (+7), so the hump (mode) must push even further to the right of that, which tells you Mean<Med<Mode. The arrows point Left so we have a left skew.
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