Advantage and disadvantage of median and mode?

Answer 1

Advantages of Mode: The mode is the most frequent value, or number. It is simplest to find. It is often helpful to know the most common value.

Disadvantages of Mode: We can have no mode sometimes. However, there frequently are ties, or almost ties, for the mode. With small data sets, the mode does not mean much. Mode doesn't give information about outliers. It is the crudes because it is limited, rest of the scores are not taken into account. Sometimes smallest numbers are the mode when there is big numbers, outliers.

Mean is dividing sum of scores by number of total scores. It is most sensitive. It takes all information into account.

Advantages of Mean: The mean, or average, is the measure of center most commonly used. People are comfortable with it and it is easy to compute. It is the balance point of the histogram.

Disadvantagesof mean: The mean is not resistant to outliers. It is greatly influenced by the very high and very low ratings that may be much higher or lower than the values over all.

•Median is the midpoint of data, or scores. t takes more information into account . It does not account for magnitude of scores. For example it doesn't give you info about an outlier. Therefore median is little crude too.

Advantages of Median: The median is easy to understand. It also tells you something very specific about the values. Half of the values are about the median and half are below. Nothing so simple can be said about the mean. The median is resistant to outliers.

Disadvantages of Median:The median can, however, change dramatically if the center of the data fall in two far-apart clusters and then one or two values are changed. To find the median without a calculator, the data must be ordered, which can be time-consuming. The median is not always a number in your data set.