Which of the following is the measure of variation that is most affected by extreme scores group of answer choices? 1 Answer.
The Median
. An extreme score will skew the value to one side or the other.
What measures are affected by extreme scores?
So the median is a better measure of the central tendency. Extreme scores strongly affect
the mean
, but not the median.
Which of the following are most affected by extreme values?
Arithmetic mean
is most affected by extreme (minimum and maximum) items of the data.
Which measure of central tendency is affected most by a few extreme scores?
Median
is the preferred measure of central tendency when: There are a few extreme scores in the distribution of the data. (NOTE: Remember that a single outlier can have a great effect on the mean).
Why is the mean sensitive to extreme scores?
The mean is sensitive to extreme scores
when population samples are small
. … Means are better used with larger sample sizes. The median is the middle score in a list of scores; it is the point at which half the scores are above and half the scores are below.
Which one of the following is least affected by extreme values?
Which of the following is least affected by extreme values?
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.
Which measure is not affected by extreme values?
Measures that are not that affected by extreme values are called
resistant
. Measures that are affected by extreme values are called sensitive.
How is mean affected by extreme values?
Arithmetic mean refers to the average amount in a given group of data. It is defined as the summation of all the observation in the data which is divided by the number of observations in the data. Therefore, mean is affected by the extreme values because it includes all the data in a series.
Which measure of dispersion is most affected by extreme values?
- variance.
- standard-deviation.
- range.
- interquartile-range.
Which of the following is the most commonly used measure of central tendency?
The mean
is the most frequently used measure of central tendency because it uses all values in the data set to give you an average.
What is the most reliable measure of variability?
The standard deviation
is the most commonly used and the most important measure of variability. Standard deviation uses the mean of the distribution as a reference point and measures variability by considering the distance between each score and the mean.
What is the most stable and useful measure of central tendency?
As
mean
uses all the observations in a given distribution. Hence, mean is considered as the most stable central tendency.
How do you interpret a mean value?
The
median
and the mean both measure central tendency. But unusual values, called outliers, affect the median less than they affect the mean. When you have unusual values, you can compare the mean and the median to decide which is the better measure to use. If your data are symmetric, the mean and median are similar.
How does one extreme score influence the mean and standard deviation?
Describe how one extreme score influences the mean and standard deviation.
The mean increased when a smaller score was replaced by a larger score
. The standard deviation increased when a score close to the mean was replaced by a score farther away from the mean.
What is the upper quartile?
The upper quartile, or third quartile (Q3), is
the value under which 75% of data points are found when arranged in increasing order
. The median is considered the second quartile (Q2). The interquartile range is the difference between upper and lower quartiles.
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.
