21. In the following groups of data, tell whether the mean or the median best describes the data:

(i) 6, 4, 2, 12, 2 (ii) 31, 28, 24, 9, 23 (iii) 45, 51, 47, 65, 36 (iv) 10, 20, 30, 100, 9

Dear student
$$\begin{gathered} 1) \mathrm{we} \mathrm{have}, \\ 6,4,2,12,2 \\ \mathrm{Mean}=\frac{6+4+2+12+2}{5}=\frac{26}{5}=5.2 \\ \mathrm{Median}: \mathrm{Arrange} \mathrm{in} \mathrm{increasing} \mathrm{order} \\ 2,2,4,6,12 \\ \mathrm{So}, \mathrm{median} \mathrm{in} 4. \end{gathered}$$
we find that the mean is being dragged in the direct of the skew. In these situations, the median is generally considered to be the best representative of the central location of the data. The more skewed the distribution, the greater the difference between the median and mean, and the greater emphasis should be placed on using the median as opposed to the mean.
Similarly, try other parts.
Regards