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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

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13y ago

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Related Questions

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 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.


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


When is the mean less than the median?

When the data distribution is negatively skewed.


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)


Would you consider two data sets similar or different if they have the same mean median and range but one is positively skewed and other negatively skewed?

If the skewness is different, then the data sets are different.Incidentally, there is one [largely obsolete] definition of skewness which is in terms of the mean and median. Under that definition, it would be impossible for two data sets to have equal means and equal medians but opposite skewness.


Is binomial probability distribution always negatively skewed?

No. It depends on the probability of success, p. If p < 0.5 the distribution is positively skewed.No. It depends on the probability of success, p. If p < 0.5 the distribution is positively skewed.No. It depends on the probability of success, p. If p < 0.5 the distribution is positively skewed.No. It depends on the probability of success, p. If p < 0.5 the distribution is positively skewed.


What type of distribution pattern that occurs when the majority of the data values fall to the left of the mean?

positively skewed


If a great many data values cluster to the left of a data distribution which then tails off to the right the distribution is referred to as?

It is a positively skewed distribution.


What distinguishes a normal curve from a skewed curve?

A normal curve, also known as a bell curve, is symmetric around its mean, indicating that data points are evenly distributed on either side, with most values clustering around the center. In contrast, a skewed curve is asymmetrical, meaning that it has a tail extending more to one side than the other; in a positively skewed curve, the tail is on the right, while in a negatively skewed curve, it is on the left. This skewness affects the mean, median, and mode of the data distribution, leading to different interpretations of the data's central tendency.


What are the characteristics of mean as a measure of central tendency?

One of the characteristics of mean when measuring central tendency is that when there are positively skewed distributions, the mean is always greater than the median. Another characteristic is that when there are negatively skewed distributions, the mean is always less than the median.


When the data are skewed to the right the measure of Skewness will be?

When the data are skewed to the right the measure of skewness will be positive.