**Give one example of a situation in which:**

**(i) the mean is an appropriate measure of central tendency.****(ii) the mean is not an appropriate measure of central tendency but the median is an****appropriate measure of central tendency.**

**Answer (i) **

Mean is an appropriate measure of central tendency when all the terms of the data are fairly close to each other.

Let's take an example, we have data of the form:

50, 51, 55, 57, 52.

Mean of this data is equal to 53 and it is fairly close to all the terms of the data.

**Answer (ii)**

Mean is not an appropriate measure of central tendency when all the terms of the data are not fairly close to each other.

Let's take an example, we have data of the form:

50, 51, 55, 54, 200.

Mean of this data is equal to 82 which is not close to any of the terms present in the data.

In such a case, median is a better method. Arranging data in the ascending order we get,

50, 51, 54, 55, 200

Clearly, median of this data is equal to 54 which is close to most of the terms present in the data.