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x axis: age of retirement

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By Mr. Hsia @MDHS

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When is data negatively or positively skewed?

i) Since Mean<Median the distribution is negatively skewed ii) Since Mean>Median the distribution is positively skewed iii) Median>Mode the distribution is positively skewed iv) Median<Mode the distribution is negatively skewed


Is the f distribution negatively skewed?

In general the distribution of F-ratio means what


Can the distribution of the mean median and mode be equal if the are positively skewed or negatively skewed or symmetric?

Not necessarily.


What is the shape of a frequency distribution with an arithmetic mean of 800 pounds median of 758 pounds and a mode of 750 pounds?

As the mean is greater than the median it will be positively skewed (skewed to the right), and if the median is larger than the mean it will be negatively skewed (skewed to the left)


Is considerably skewed distribution the same as bimodal distribution?

No. A distribution may be non-skewed and bimodal or skewed and bimodal. Bimodal means that the distribution has two modes, or two local maxima on the curve. Visually, one can see two peaks on the distribution curve. Mixture problems (combination of two random variables with different modes) can produce bimodal curves. See: http://en.wikipedia.org/wiki/Bimodal_distribution A distribution is skewed when the mean and median are different values. A distribution is negatively skewed when the mean is less than the median and positively skewed if the mean is greater than the median. See: http://en.wikipedia.org/wiki/Skewness

Related Questions

When is data negatively or positively skewed?

i) Since Mean<Median the distribution is negatively skewed ii) Since Mean>Median the distribution is positively skewed iii) Median>Mode the distribution is positively skewed iv) Median<Mode the distribution is negatively skewed


Is the f distribution negatively skewed?

In general the distribution of F-ratio means what


Can the distribution of the mean median and mode be equal if the are positively skewed or negatively skewed or symmetric?

Not necessarily.


When is the mean less than the median?

When the data distribution is negatively 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 skewed left?

A distribution or set of observations is said to be skewed left or negatively skewed if it has a longer "tail" of numbers on the left. The mass of the distribution is more towards the right of the figure rather than the middle.


When a distribution is negatively skewed the mode will be?

In a negatively skewed distribution, the tail extends to the left, indicating that there are a few lower values. As a result, the mode, which is the most frequently occurring value, is typically located to the right of the mean and median. This means that in negatively skewed distributions, the mode is usually higher than both the median and the mean.


Is it true if a distribution is negatively skewed if the right tail is longer than the left?

No, a distribution is considered negatively skewed if the left tail is longer or fatter than the right tail. In this case, the bulk of the data is concentrated on the right side, with a longer tail extending to the left. A positively skewed distribution, on the other hand, has a longer right tail.


When a large number of samples are drawn from a negatively skewed population the distribution of the sample means?

.45


Is a bell shaped curve an example of a skewed distribution?

No.


What term is used to describe the shape of a distribution in which the scores pile up on the left-hand side of the graph and taper of to the right?

The term used to describe this shape of a distribution is "negatively skewed" or "left-skewed." In a negatively skewed distribution, most of the data points are concentrated on the higher end, with a tail extending towards the lower end. This results in a longer left tail and a peak that is shifted to the right.


What is the shape of a frequency distribution with an arithmetic mean of 800 pounds median of 758 pounds and a mode of 750 pounds?

As the mean is greater than the median it will be positively skewed (skewed to the right), and if the median is larger than the mean it will be negatively skewed (skewed to the left)

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