mention two merits of median as a measure of Central tendency
Answers
Answer:
In a distribution with an odd number of observations, the median value is the middle value. Advantage of the median: The median is less affected by outliers and skewed data than the mean, and is usually the preferred measure of central tendency when the distribution is not symmetrical.
Answer: In a distribution with an odd number of observations, the median value is the middle value. Advantage of the median: The median is less affected by outliers and skewed data than the mean, and is usually the preferred measure of central tendency when the distribution is not symmetrical.
Explanation:
Mean = Sum of all values / number of values.
Mean is typically the best measure of central tendency because it takes all values into account. But it is easily affected by any extreme value/outlier. Note that Mean can only be defined on interval and ratio level of measurement
Median is the mid point of data when it is arranged in order. It is typically when the data set has extreme values or is skewed in some direction. Note that median is defined on ordinal, interval and ratio level of measurement
Mode is the most frequently occurring point in data. It is best for nominal data set in which both median and mode are undefined. Note that mode is defined on nominal, ordinal, interval and ratio level of measurement