Comment on the applicability of mean, median and mode.
Mean:
1. Simplicity : This is most simple of all the measures of central tendency.
2. Representative Value : This is based on the items in a series and is, therefore, a representative value of different items.
3. Certainty : Arithmetic mean is a value. It has no scope for estimated values.
4. Stability : Arithmetic mean is a stable measure of central tendency.
5. Basis of comparison : It can be easily used for comparison because it is stable and certain.
Median :
1. Median is difinite.
2. It is easy to calculate and understand median.
3. It can also be determined graphically.
4. It is not affected by extreme values.
5. It can be calculated in the absence of anyone of the item.
6. It is helpful in qualitative facts such as ability, stability etc.
7. It is useful in measuring dispersion.
Mode :
1. It is simple precise and easy to understand.
2. It is not affected by extreme items because it is not based on every item of the series.
3. It cannot be given further mathematical treatment.
4. It can be located on graph.