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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 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.
Can the distribution of the mean median and mode be equal if the are positively skewed or negatively skewed or symmetric?
Not necessarily.
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 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)
When the mean and median do not coincide?
When the mean and median do not coincide, it typically indicates that the data distribution is skewed. In a positively skewed distribution, the mean is greater than the median, while in a negatively skewed distribution, the mean is less than the median. This discrepancy arises because the mean is sensitive to extreme values, whereas the median is resistant to outliers, making it a better measure of central tendency in skewed distributions. Understanding this difference helps in accurately interpreting the data's characteristics.
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.
What is unimodal skewed?
Unimodal skewed refers to a distribution that has one prominent peak (or mode) and is asymmetrical, meaning it is not evenly balanced around the peak. In a right (or positively) skewed distribution, the tail on the right side is longer or fatter, indicating that most data points are concentrated on the left. Conversely, in a left (or negatively) skewed distribution, the tail on the left side is longer, with most data points clustered on the right. This skewness affects the mean, median, and mode of the data, typically pulling the mean in the direction of the tail.
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.
