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What else can I help you with?
When comparing data between two different groupswhat do you do?
You make comparisons between their mean or median, their spread - as measured bu the inter-quartile range or standard deviation, their skewness, the underlying distributions.
How do you work out the range of values a box will extend in a boxplot using the mean score 100 and standard deviation 20?
It is not possible to determine the range since there is always the possibility that there are outliers. Also, there is no information about the skewness of the data. If the distribution is symmetric, there is a high probability (99.75%) that the values will lie within 3 standard deviations of the mean - that is between 40 and 160.
What is Characteristic of a type 3 PDF?
A type 3 probability density function (PDF) is characterized by its ability to represent non-standard distributions, often involving mixtures of different distributions or multimodal shapes. It typically has a flexible form that allows for varying skewness and kurtosis, accommodating a wide range of data patterns. Type 3 PDFs can model complex phenomena where data does not fit standard distributions like normal or uniform. This flexibility makes them useful in fields such as finance, environmental science, and engineering.
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 kinds of distributions are there?
There are several types of distributions in statistics, including normal, binomial, Poisson, uniform, and exponential distributions. The normal distribution is bell-shaped and commonly used due to the Central Limit Theorem. Binomial distributions deal with binary outcomes, while Poisson distributions model the number of events in a fixed interval. Uniform distributions have constant probability across a range, and exponential distributions often describe time until an event occurs.
What determines numerical measures of center and spread are appropriate for describing a given distribution of quantitative variable?
The choice of numerical measures of center (mean, median) and spread (range, variance, standard deviation, interquartile range) depends on the distribution's shape and characteristics. For symmetric distributions without outliers, the mean and standard deviation are appropriate, while for skewed distributions or those with outliers, the median and interquartile range are more robust choices. Additionally, the presence of outliers can significantly affect the mean and standard deviation, making alternative measures more reliable. Understanding the data's distribution helps ensure that the selected measures accurately represent its central tendency and variability.
What 6 numbers have a mean of 4 and a range of 2?
{3,4,4,4,4,5} or {3,3,3,5,5,5} or {3,3.1,3.2,4.8,4.9,5}. These are some examples of symmetric sets.
What is geographic Distributions?
Geographic distributions refer to the patterns of where a species is found in a geographical area. It provides insight into the range, abundance, and habitat preferences of a species. Geographic distributions can be influenced by factors such as climate, habitat availability, and interactions with other species.
What does a box and whisker plot show us about the data?
A box and whisker plot, or box plot, visually summarizes the distribution of a dataset by displaying its median, quartiles, and potential outliers. The box represents the interquartile range (IQR), which contains the middle 50% of the data, while the "whiskers" extend to the smallest and largest values within a specified range. This plot allows for easy comparison of data distributions between different groups and highlights the spread and skewness of the data. Overall, it provides a clear overview of the central tendency and variability within the dataset.
Which value is NOT always a number in the data set it represents?
The range, median, mean, variance, standard deviation, absolute deviation, skewness, kurtosis, percentiles, quartiles, inter-quartile range - take your pick. It would have been simpler to ask which value IS in the data set!
How do you solve ungrouped data?
You cannot "solve" ungrouped data since ungrouped data is not a question. You can calculate the mean or the variance, standard deviation or skewness, or a whole range of other measures for ungrouped data. But you have not specified what.
Is median used for when there is a wide range of numbers?
If the wide range is evenly spread between the very small and the very large (the distribution is symmetric) then there is not much to choose between the median and the mean. If not, the median will have some advantages as a measure of central tendency.
