⇒The Variance tells us spread between each variate in data set from mean.
Now, Coming to the Question
⇒Sample of 14 students were taken from a population of 168 students.
Variance =Expected value of square of each variate taken from mean, which can be represented as
![=\sum_{N=1}^{k} \frac{E(x-\mu)^2}{N}](https://tex.z-dn.net/?f=%3D%5Csum_%7BN%3D1%7D%5E%7Bk%7D%20%5Cfrac%7BE%28x-%5Cmu%29%5E2%7D%7BN%7D)
Size of Sample taken in terms of Percentage
![=\frac{14}{168} \times 100\\\\=\frac{100}{12}\\\\=8.\bar{3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B14%7D%7B168%7D%20%5Ctimes%20100%5C%5C%5C%5C%3D%5Cfrac%7B100%7D%7B12%7D%5C%5C%5C%5C%3D8.%5Cbar%7B3%7D)
⇒Sample Size is Approximately only 8.4% of total Population,which is very small, that can't represent the whole Population Variance.
Option B:→ 14 , is most appropriate, which Represents the Variance of 14 student height.