In a unimodal, symmetrical distribution as shown in the figure below.
A)The mean is the same as the median, but the mode can be different.
B)The mean, the median, and the mode are the same.
C)The median and the mode are the same, but the mean can be different.
D)The mean, the median, and the mode are different.

Question

In a unimodal, symmetrical distribution as shown in the figure below.
A)The mean is the same as the median, but the mode can be different. 
B)The mean, the median, and the mode are the same. 
C)The median and the mode are the same, but the mean can be different. 
D)The mean, the median, and the mode are different.

Quizplus · Accepted Answer

In a unimodal, symmetrical distribution, the mean, the median and the mode are all located at the center of the distribution and are the same. Therefore, the correct choice is B where all three measures of central tendency are identical. In a unimodal, symmetrical distribution, the mean, median, and mode are all located at the center of the distribution, and are all the same value.

In a Unimodal, Symmetrical Distribution as Shown in the Figure