Which of the following is true?a. The Z score for the median of a left skewed distribution is negative.b. Z scores are defined for observations from distributions of any shape and skew.c. The Z score for the median of a symmetric distribution is approximately 0.d. Calculating percentiles based on the Z table is only appropriate for observations that come from a nearly normal distribution.

Respuesta :

Answer: b,c and d.

Step-by-step explanation:

The options that are true are:

b. Z scores are defined for observations from distributions of any shape and skew.

c. The Z score for the median of a symmetric distribution is approximately 0.

d. Calculating percentiles based on the Z table is only appropriate for observations that come from a nearly normal distribution.

It should be noted that option A"The Z score for the median of a left skewed distribution is negative" is false.

For a left skewed distribution, it should be noted that the mean is less than the median which in turn is less than the mode and this will bring about a positive outcome, therefore the corresponding z-score for the median will also be positive and bit negative.

Therefore, b, c and d are true.

If the z-score for the median of the left-skewed distribution is negative then A is false. Then the correct option is B, C, and D.

What is a z-score?

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

It should be noted that in option A, the z-score for the median of the left-skewed distribution is negative.

A. The Z-score for the median of a left-skewed distribution is negative. This is false.

B. Z-scores are defined for observations from distributions of any shape and skew. This is true.

C. The Z-score for the median of a symmetric distribution is approximately 0. This is true.

D. Calculating percentiles based on the Z-table is only appropriate for observations that come from a nearly normal distribution. This is true.

More about the z-score link is given below.

https://brainly.com/question/13299273