⇒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
[tex]=\sum_{N=1}^{k} \frac{E(x-\mu)^2}{N}[/tex]
Size of Sample taken in terms of Percentage
[tex]=\frac{14}{168} \times 100\\\\=\frac{100}{12}\\\\=8.\bar{3}[/tex]
⇒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.