Median
is the preferred measure of central tendency when: There are a few extreme scores in the distribution of the data.
What is most affected by extreme scores?
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 central tendency is affected by every score in the distribution?
However, in this situation,
the mean
is widely preferred as the best measure of central tendency because it is the measure that includes all the values in the data set for its calculation, and any change in any of the scores will affect the value of the mean.
Which measure of central tendency is most sensitive to outliers?
The mean
is more sensitive to the existence of outliers than the median or mode.
Which measure of central tendency is most influenced by extreme scores or skewed distributions?
The preferred measure of central tendency often depends on the shape of the distribution. Of the three measures of tendency,
the mean
is most heavily influenced by any outliers or skewness. In a symmetrical distribution, the mean, median, and mode are all equal.
Which measure of central tendency is not affected by extreme scores?
When one has very skewed data, it is better to use
the median
as measure of central tendency since the median is not much affected by extreme values.
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 of the following is a measure of central tendency group of answer choices?
Measure of Central Tendency:
The
mean, median, and mode
are the measure of central tendency.
Which measure of central tendency is mostly affected by extreme observation?
Median
is affected by extreme observations.
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.
Which measure of central tendency is most reliable when scores are extremely high and low?
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.
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.
What is the best measure of central tendency for a negatively skewed distribution?
For negatively skewed distributions, the mean will always be the lowest estimate of central tendency and
the mode
will be the highest estimate of central tendency. In any skewed distribution (i.e., positive or negative) the median will always fall in-between the mean and the mode.
What is the best measure of central tendency for a skewed right histogram?
The median
is usually preferred to other measures of central tendency when your data set is skewed (i.e., forms a skewed distribution) or you are dealing with ordinal data.
Which measure of central tendency is most affected by extreme scores quizlet?
The mean
is more affected by extreme scores than the median.
When should I use the median over the mean quizlet?
The median is used instead of the mean when there is a skewed distribution (a few extreme scores),
an open-ended distribution or undetermined scores
. … With a skewed distribution, the extreme scores in the tail can influence the mean in the direction of the skew.
