0
When an observation in a data is abnormally more than and less than the remaining observations in the data does it affect Mean Median Mode?
Yes, an observation that is abnormally larger or smaller than the rest of the data can significantly affect the mean, as it will pull the average towards that extreme value. However, the median and mode are less influenced by outliers, as they are not as sensitive to extreme values. The median is the middle value when the data is arranged in order, so outliers have less impact on its value. The mode is the most frequently occurring value, so unless the outlier is the most common value, it will not affect the mode.
Still curious? Ask our experts.
Chat with our AI personalities
Jordan
Rafa
BeauAdd your answer:
Earn +20 pts
How do you find the median of a qualitative ordinal survey?
Order the observations according their ordinal value. If you have an odd number, k, of observations, then the observation is position (k+1)/2 is the median. are lucky, the median is the middle-ranking observation.If you have an even number of observations then the median is the average of the observations ranked k/2 and k/2+1. If you are lucky, both will be the same and so will be the median. Otherwise there may be no reliable measure of the median.
Is the mean influenced more than the median by a few extreme scores at one end of the distribution?
Yes. The mean uses the actual value of each observation. The value(s) of only the middle observation (or pair of middle observations) is required for the median. For all other observations, the median is concerned only with whether it is larger or smaller than it is.
What does outliers mean in math?
An observation that is exceptionally small or exceptionally large in relation to other observations. The term exceptionally may be defined in terms of the median and range of the observations.
What is the medien in a math problem?
There is no such thing as a medien. A median of a set of numbers is the middle value when the numbers are placed in ascending (or descending) order. If there are an odd number [2n - 1 where n is an integer >0], of observations that are ordered, then the median is the nth observation. If there are an even number [2n where n is an integer >0], of observations, then the median is the arithmetic mean (average) of the nth and (n+1)th observations.
What is quartiles in math?
The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.
