source : socratic.org
Which measure of central tendency is most sensitive to extreme scores?
There are three main measures of central tendency: mean, median, and mode.
The median is the value at the middle of a distribution of data when those data are organized from the lowest to the highest value.
It is the ratio of the mean to the median that is most commonly used to identify any skew in the data.
Measures of the Spread of Data | Introduction to Statistics – The most common measure of variation, or spread, is the standard deviation. The standard deviation is a number that measures how far data values are Considering data to be far from the mean if it is more than two standard deviations away is more of an approximate "rule of thumb" than a rigid rule.Any variation is very sensitive to extreme values! Importance of measures of central tendency? Measures of the general value are a common need. Average, Median, and Mode are the three commonest.Average is the arithmetic average of all the values.Median is the actual measurement……most by extreme values isa.the varianceb.the standard deviationc.the ranged.the interquartile rangeANS:CPTS:1TOP:Descriptive Statistics48.When should measures of location and dispersion be computed from grouped data rather than from individual data values?49.The descriptive measure of…
Which summary measures are influenced by extreme values? – 3.56 What are the differences among the various measures of variation, such as the range, interquartile range, variance, standard deviation, and For the following variables in the NELS data set, indicate the most appropriate set of summary statistics for summarizing the distribution: (1)…It is very sensitive to extreme values; therefore not as useful as other measures of variation. v The value of the standard deviation s can increase dramatically with the inclusion of one or more extreme values (data values far away from all others).Transcribed Image Text from this Question. Which measure of variation is very sensitive to extreme values? Click on the different category headings to find out more and change our default settings according to your preference. You cannot opt-out of our First Party Strictly Necessary Cookies as they…
The measure of dispersion that is influenced most by extreme values… – Measures of Variability. There are many ways to describe variability or spread including The IQR is not affected by extreme values. It is thus a resistant measure of variability. Above we considered three measures of variation: Range, IQR, and Variance (and its square root counterpart – Standard…Stats: Measures of Variation. Range. The range is the simplest measure of variation to find. It is simply the highest value minus the lowest value. Since the range only uses the largest and smallest values, it is greatly affected by extreme values, that is – it is not resistant to change.Problems with solutions in Elementary Statistics — Measures of Center, Measures of Variations, Measures of Relative Standing, Exploratory Data Analysis (EDA). The trimmed mean is therefore less sensitive to extreme values and therefore more resistant.