Question: Which Is The Best Measure Of Central Tendency And Why?

How do you explain central tendency?

Central tendency is a descriptive summary of a dataset through a single value that reflects the center of the data distribution.

Along with the variability (dispersion) of a dataset, central tendency is a branch of descriptive statistics.

The central tendency is one of the most quintessential concepts in statistics..

Which is better mean and median?

Unlike the mean, the median value doesn’t depend on all the values in the dataset. Consequently, when some of the values are more extreme, the effect on the median is smaller. … When you have a skewed distribution, the median is a better measure of central tendency than the mean.

Where can we use central tendency in our daily affairs?

Measure of Central TendencyMeasures of Central Tendency in the Real World.Measures of central tendency (mean, median, and mode) are used everyday. … The mean, or the average, is an important statistic used in sports. … The screenshot was taken directly from ESPN (http://espn.go.com/nba/statistics). … The median is used in economics.More items…•

Which relations among three measures of central tendency mean median and mode is correct?

Thus, the empirical relationship between the three measures of central tendency is 2 Mean = 3 Median – Mode. Hence, option (a) is the correct answer.

Which measure of central tendency is most influenced by outliers quizlet?

Which of the measures of central tendency is most influenced by outliers in your data? The mean is strongly influenced by outliers because it is the average of the scores and it is not resistant. The median is resistant.

Which measure of central tendency is affected by shape?

meanThe 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.

Which is the best measure of central tendency mean median or mode and why?

For normally distributed data, all three measures of central tendency will give you the same answer so they can all be used. In skewed distributions, the median is the best measure because it is unaffected by extreme outliers or non-symmetric distributions of scores. The mean and mode can vary in skewed distributions.

Which is a better measure of central tendency?

Mean is the most frequently used measure of central tendency and generally considered the best measure of it. However, there are some situations where either median or mode are preferred. Median is the preferred measure of central tendency when: There are a few extreme scores in the distribution of the data.

Which measure of central tendency is most affected by outliers?

Mean is the only measure of central tendency that is always affected by an outlier. Mean, the average, is the most popular measure of central tendency.

What is central tendency in math?

A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. … 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.

Which measure of central tendency is not affected by extreme values?

When there are extreme numbers in the data set (very low or very high numbers), the median is a good choice for a measure of central tendency. The extreme numbers have less effect (or no effect at all) on the median.