Question

Central tendency and its advantages and disadvantages

Answer 1

Answer:

Step-by-step explanation:

Central tendency is defined as “the statistical measure that identifies a single value as representative of an entire distribution.”[2] It aims to provide an accurate description of the entire data. It is the single value that is most typical/representative of the collected data. The term “number crunching” is used to illustrate this aspect of data description. The mean, median and mode are the three commonly used measures of central tendency.

EAN

ADVANTAGES

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.

DISADVANTAGES

Sometimes the end figure is a decimal figure, which makes the data less meaningful. If there are extreme values (e.g. if a sequence was something like 3 6 4 3 40 3 then 40 is seen as extreme) it can also generate an unrepresentative figure.

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.

DISADVANTAGES

There may be more than one modal value (known as bimodal) which makes the data less reliable.

MEDIAN

ADVANTAGES

Good to use with ordinal data.

It is generally unaffected by anomalies and so safer to use with extreme values.

DISADVANTAGES

Does not work well with small sets of data.

Answer 2

Explanation:

Measures of central tendency are numbers that tend to cluster around the “middle” of a set of values

Mode :

Advantage : It is easy to obtain

The mode is the only taht can be used for data taht have the character of a nominal scale

disadvantages :

not very stable

There may be more than one mode for a particular score

Median :

Advantage :

Median is concerned with central point

Disadvantages :

It respond to how many score lie above or below but it not far away the score may be

Mean :

Advantage : It is most resistant  to chance sampling variation

stable from sample to sample

disadvantage :

increasing and decreasing the value of any score will change the mean

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