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In a negatively skewed distribution, the mean is typically less than the median, and the median is less than the mode. This results in a tail that extends longer to the left. Therefore, any statement claiming that the mean is greater than the median or that the mode is less than the median would be false. Thus, one must be careful to identify which statements accurately reflect the characteristics of negatively skewed distributions.

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2mo ago

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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


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.


Is the f distribution negatively skewed?

In general the distribution of F-ratio means what


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)


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

.45


What direction does the tail face in a positively skewed and what direction in a negatively skewed set of data?

In a positively skewed distribution, the tail faces to the right, indicating that there are a few exceptionally high values pulling the mean upwards. Conversely, in a negatively skewed distribution, the tail faces to the left, reflecting the presence of a few exceptionally low values that pull the mean downwards. This skewness affects the relationship between the mean, median, and mode in each case.


What does skewed in math?

In mathematics, "skewed" refers to the asymmetry in the distribution of data. A skewed distribution can be either positively skewed, where the tail on the right side is longer or fatter, or negatively skewed, where the tail on the left side is longer or fatter. This indicates that the mean and median of the data may not align, often with the mean being pulled in the direction of the skew. Understanding skewness helps in analyzing the characteristics of the data and choosing appropriate statistical methods.


How do you transform a negatively-skewed variable?

Add 1 to the largest value and then add that number to all results to obtain the new distribution


What is an example of negatively skewed distribution?

x axis: age of retirement y axis: number of people By Mr. Hsia @MDHS