when we want to report the summary of a data set, which measure(mode, mean,median, iqr, percentile) will give the most appropriate answer? can anyone clarify this
The answer is: it depends.
If the standard deviation is high, mean is not the best parameter to report.
You also need to consider the possibility of outliers in such cases.
If the mean, median and mode are very close to each other then you can report either of the three as most likely the distribution is normal. If this is not the case, then you need to analyse the distribution a little closely so as to figure out the best parameter to report.
I know that this is not the answer you were looking for but with practice you’ll learn which is the best approach for different scenarios.
Hope this helps.