EVERYDAY SCIENCE

Detailed explanation-1: -In a positively skewed distribution, most of the observations lie in the right-hand side of the distribution. Thus, the mean is the greatest measure of central tendency followed by median and then mode.

Detailed explanation-2: -What Does High Skewness Mean? High skewness means a distribution curve has a shorter tail on one end a distribution curve and a long tail on the other. The data set follows a normal distribution curve; however, higher skewed data means the data is not evenly distributed.

Detailed explanation-3: -The median is the most informative measure of central tendency for skewed distributions or distributions with outliers.

Detailed explanation-4: -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. In these cases, the mean is often the preferred measure of central tendency.

Detailed explanation-5: -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.