When you have a symmetrical distribution for continuous data, the mean, median, and mode are equal. In this case, analysts tend to use the mean because it includes all of the data in the calculations. However, if you have a skewed distribution, the median is often the best measure of central tendency.When you have ordinal data, the median or mode is usually the best choice. For categorical data, you have to use the mode.
note that these situations arise in higher studies wherein large data is beng studied and analysed. in lower classes you dont need to bother about when to use what. simply find what the ques demands, as these statistical methods mostly come into play in the above mentioned situations, most of which u dont understand right now in lower classes like ordinal data, categorical data etc
						

							
The following data represent the height in centimetre of the members of a family
155.9, 163. 8, 170. 6, 159. 8, 162. 3, 166. 8, 160. 2
 
It can be observed that the observations in the given data are close to each other.
Therefore the mean will be an appropriate measure of Central tendency.
 
ii)
The following data represents the marks obtained by 13 students in a test
48, 59, 46, 52, 54, 46, 97, 42, 49, 58, 60, 99, 96
 
It can be observed that there are some observations which are very far from other observations.
 
Therefore the median will be an appropriate measure of Central tendency.
 
 
						

							

i)
The following data represent the height in centimetre of the members of a family
155.9, 163. 8, 170. 6, 159. 8, 162. 3, 166. 8, 160. 2
It can be observed that the observations in the given data are close to each other.
Therefore the mean will be an appropriate measure of Central tendency.
ii)
The following data represents the marks obtained by 13 students in a test
48, 59, 46, 52, 54, 46, 97, 42, 49, 58, 60, 99, 96
It can be observed