Which of the following is always true? Choose the correct answer below.

A. Data skewed to the right have a longer left tail than right tail.
B. In a symmetric and bell-shaped distribution, the mean, median, and mode are the same.
C. For skewed data, the mode is farther out in the longer tail than the median.
D. The mean and median should be used to identify the shape of the distribution.

Symmetric distribution is a circumstance in which the mean, median, and mode are located at the exactly same point and the values of the variables are at regular frequencies.

The symmetric distribution is usually shaped like a bell curve when depicted on a graph.

If a line is drawn down the middle of the graph, the two sides will mirror each other.

The bell curve indicates that the data are symmetric.

Thus we can conclude according to the probability that the result will be located to the left or right of the center within a range, once we have the deviation inherent in it.

A bell curve graph always depends on two factors:

Mean: It says about the position of the center always.

Standard deviation: It gives the value of the width and height of the bell.

Therefore, we can conclude that only option (A) is correct.

Learn more about symmetric distribution;

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