These are multiple choice, please answer all three since no work shown is needed
ID: 3126153 • Letter: T
Question
These are multiple choice, please answer all three since no work shown is needed. Thanks
1. For a set of numbers, if the mean is equal to the median, its distribution might be:
a. Right-skewed
b. Left-skewed
c. Normally distributed
d. Positively-skewed
2. In the graph, there are two distrubitions and we can tell (check all that apply):
a. The mean of distribution A> the mean of distribution B
b. The mean of distribution A < the mean of distribution B
c. The standard deviation of distribution A> the std deviation of distribution B
d. The standard deviation of distribution A= the st deviation of distribution B
3. Consider a normal distribution with a mean of 20 and standard deviation of the mean of 6. 68% of its area is within:
a. One standard deviation of the mean
b. Two standard deviations of the mean
c. Three standard deviations of the mean
d. It depends on the value of the mode
A, 0 10 20 30 40 50 60 70 80 90 100Explanation / Answer
(1) Ingeneral, for normall distributed variables have mean is equal to median. In this case, for set of numbers the distribution might be normally distributed. Hence, the correct answer is c.
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(2) From the graph, we observe that, the mean of A > the mean of B and standard deivation of A = standard deviation of the B. Hence the a and d can be checked.
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(3) 68% of the are should be with in one standard deviation according to 68-95-99.7 rule for normal distribution with mean 20 and standard deviation 6. Hence the correct answer is a.
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