If a distribution is skewed to the left, which of the following is true of the data set? Select two answers.

A. The mean and the median are equal.

B. The median is the best measure of the center.

C. The IQR is the best measure of variation.
D. The mean is the best measure of the center.

E. The mean absolute deviation is the best measure of variation.

Respuesta :

Answer:

I know (B) is correct, the median is the best measure of center if t distribution is Skewed Left

Step-by-step explanation:

The correct answer is B.

For a distribution that is skewed to the left, the median is the best measure of the center.

The basic properties of mean for a skewed data distribution:

  • The mean of a skewed distribution always follow the tail of the distribution.
  • If the data set is skewed to the right, the mean is found towards the right of the distribution and it is greater than the median.
  • also if the data set is skewed to the left, the mean is found towards the left of the distribution and it is less than the median.

Hence, mean cannot be used to determine the center of a skewed data set.

For the median, it always maintain a close proximity towards center of a skewed data set. Hence the median is the best measure of the center.

In addition, for a normal distribution, the mean is equal to the median and both are used to determine the center of the data set.

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