Mean

Statistics

1. ARITHMETIC MEAN MERITS Simple to understand. Easy to calculate. Based on all observation. Capable for algebraic treatment. It is more stable. It can be determined in most of the cases. .

2. Demerits It is effected by extrme values. Not suitable for ratios and percentages. It cannot be calculated for qualitative data. Misleading and absurd result in some cases. It does not coincide with any observed values

3. Compare Mean, Median and Mode Mean is a mathematical average but Median and mode are positional averages. Mean is based on all observation while median is the middle item and mode is commonly found item. Median and mode are values found in the series but not mean.

4. Median and mode can be graphically located but not mean. Mean is affected by extreme item but not median and mode. Mean is capable of further mathematical treatment but not median and mode

5. MEDIAN MERITS It is very simple measure. Not affected extreme items. It can locate by a mere glance. It can be determined by graphically.

6. Demerits Not based on all observation. Not capable of algebraic treatments. It requires arraying also. In the case of continuous series interpolation formula is used.

7. MODE MERITS Can be located graphically. It is simple measure of central tendency. Less affected by extreme items It coincide with one of the values of the series.

8. Demerits Not base on all observations. Not capable of further algebraic treatment. It is ill-defined in some cases. Sometimes grouping to identify the Modal values.

9. BEST AVERAGE : MEAN Easily calculated. Simple to under stand. Capable for algebraic treatment.

10. Based on all observation. It can located without arranging the data. It is stable fro sample to sample when sample selected is sufficiently large.