Question

Define mode as a measure of central tendency. State its two merits and two demerits.

Answer 1

Mode:-

The mode is the statistical term that refers to most frequently occurring number found in a data.

Merits:-

◆ mode can be found graphically

◆It is the simplest way as we can find it with a single glance.

Demerits:-

●Mode can't be determined if the series is bimodal or multimodal.

● It is impossible to find the combined mode of some series as in case of mean.

Answer 2

Mode is a measure of central tendency that refers to the value that occurs most frequently in a dataset.

It is the value that has the highest frequency or occurs most frequently in the dataset.

Two merits of using mode as a measure of central tendency are:

1. It is useful for describing nominal or categorical data where values are not numerical. Mode can be used to determine the most common category or item in a set of data.
2. Mode is relatively easy to calculate and understand, making it a useful tool for quickly summarizing large amounts of data.

Two demerits of using mode as a measure of central tendency are:

1. It may not be representative of the entire dataset. The mode only takes into account the most frequent value and does not consider the spread of data around that value.
2. The mode may not exist or may be ambiguous in some datasets. For example, if there are two or more values that occur with the same highest frequency, it may be difficult to determine the mode, or there may not be a unique mode.

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