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