State 5 merits of an ideal measure of central tendency
Answers
Answer:
ADVANTAGES
MEAN
One makes use of all the available data so it is the most powerful measure to use.
It is good for ordinal or interval sets of data.
MODE
ADVANTAGES
The figure produced will be one that is actually in the set of numbers which is not always true for other measures of central tendency e.g. in a sequence of 3 6 3 11 4 3, the mode = 3. This number we can see is present in the sequence. However, other measures such as the mean would give us a figure of 5 (total of all number which is 30 divided by how many numbers there are which is 6) which is not part of the sequence.
It is the only measure of central tendency which is useful for nominal data.
MEDIAN
ADVANTAGES
Good to use with ordinal data.
It is generally unaffected by anomalies and so safer to use with extreme values.