- variance.
- standard-deviation.
- range.
- interquartile-range.
Which of the following measures of dispersion are least affected by extreme scores or outliers?
For skewed distributions or data sets with outliers, the interquartile range is the best measure. It's least affected by extreme values because it focuses on the spread in the middle of the data set.
Which measure of dispersion is least affected by extreme values?
Quartile deviation divides the series into four equal parts and measures the distance average between the third and the first quartile. The first quartile is denoted as Q1 and the third quartile is denoted as Q3 . Therefore, quartile deviation is not affected by the extreme values of the series.
What measures most affected by extreme values?
Arithmetic mean is most affected by extreme (minimum and maximum) items of the data.
Why is standard deviation affected by extreme values?
However, standard deviation is affected by extreme values. ... A single very extreme value can increase the standard deviation and misrepresent the dispersion . For two data sets with the same mean, the one with the larger standard deviation is the one in which the data is more spread out from the center.
Is Mean Deviation affected by extreme values?
It is not much affected by extreme values . For calculating mean deviation, deviations can be taken from any average.
Which measure of central tendency is not affected by extreme scores?
Median . The median is the middle value in a distribution. It is the point at which half of the scores are above, and half of the scores are below. It is not affected by outliers, so the median is preferred as a measure of central tendency when a distribution has extreme scores.
Which mean is least affected by extreme values?
Property of Median :
Median is the value that divides the data set in exactly two parts. One of the advantages of median is that it is not effected by the outliers. It is a position based statistic.
Can there be 2 modes?
A set of numbers with two modes is bimodal , a set of numbers with three modes is trimodal, and any set of numbers with more than one mode is multimodal.
Why is the mean affected by extreme values?
The mean is the most common measure of center. It is what most people think of when they hear the word “average”. However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution . The median is the value in the center of the data.
Which measure of central tendency is most affected by extreme very high or very low scores?
The Median . An extreme score will skew the value to one side or the other.
What is the most stable and reliable measure of central tendency?
As mean uses all the observations in a given distribution. Hence, mean is considered as the most stable central tendency. ... The mean (often called the average) is most likely the measure of central tendency that you are most familiar with, but there are others, such as the median and the mode.
Why is the median not affected by extreme values?
The median is not influenced by extreme values. The median is sensitive only to the value of the middle point or points ; it is not sensitive to the values of all other points. The mean requires interval or ratio data. The mean is the preferred measure for interval or ratio data.
Is unduly affected by extreme values?
(v) Median is unduly affected by extreme observations. This mathematical property applies to the arithmetic mean and not to median. Average is not enough to compare the series as it does not explain the extent of deviation of different items from the central tendency and the difference in the frequency of values.
What happens when you have 2 modes?
If there are two numbers that appear most often (and the same number of times) then the data has two modes. ... If there are more than 2 then the data would be called multimodal. If all the numbers appear the same number of times, then the data set has no modes.
What is the mode if there are no repeating numbers?
The “mode” is the value that occurs most often. If no number in the list is repeated, then there is no mode for the list.
