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What is a positively skewed distribution?
A positively skewed or right skewed distribution means that the mean of the data falls to the right of the median. Picturewise, most of the frequency would occur to the left of the graph.
When a population distribution is right skewed is the sampling distribution normal?
No, as you said it is right skewed.
What is a negative frequency distribution?
If most the population has many high scores, the distribution is negatively skewed. If most have many low scores, it is positively skewed
What is the smallest measure of central tendency in a positively skewed distribution?
If the distribution is positively skewed distribution, the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency. This is true if we assume the distribution has a single mode.
How is the choice made between mean and median to describe the typical value related to the shape of the data distribution?
Either can be used for symmetrical distributions. For skewed data, the median may be more a appropriate measure of the central tendency - the "average".
