Why are measures of central tendency not enough to describe a data set?

Disadvantages to the mean as a measure of central tendency are that it is highly susceptible to outliers (observations which are markedly distant from the bulk of observations in a data set), and that it is not appropriate to use when the data is skewed, rather than being of a normal distribution.

Which measure of central tendency is not representative of the data?

It is the most repeated number in the data set. Analyzing the data set and the measures of central tendency, the least representative is the mean.

What measure of central tendency is not appropriate?

Given the way the data is distributed in this example (with one persons yearly wage being so large), the median is probably the best measure of central tendency. NOTE: Nine people are below the mean and one person is above the mean, so the mean is probably not the most appropriate measure of central tendency.

Which measure of central tendency best describes the data?

The mean
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. For data from skewed distributions, the median is better than the mean because it isn’t influenced by extremely large values.

Why is the measure of central tendency important?

Why Is Central Tendency Important? Central tendency is very useful in psychology. It lets us know what is normal or ‘average’ for a set of data. It also condenses the data set down to one representative value, which is useful when you are working with large amounts of data.

How do you describe central tendency?

What are measures of central tendency? Measures of central tendency help you find the middle, or the average, of a data set. The 3 most common measures of central tendency are the mean, median and mode. The mode is the most frequent value. The median is the middle number in an ordered data set.

Which measures of central tendency are not affected by extremely low or extremely high values?

The mode and median are not affected by extremely small or large values as mode is the most frequent value in the distribution and the extreme…

When measurement data are not normally distributed Which of the following measures of central tendency and variability are recommended?

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. However, the mode can also be appropriate in these situations, but is not as commonly used as the median.

Why mean is the best 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. For data from skewed distributions, the median is better than the mean because it isn’t influenced by extremely large values.