Question

If a sample of 14 students were taken from a population of 168 students, could refer to the variance of how many of the students' heights?
A. Neither 14 nor 168


B. 14


C. Both 14 and 168


D. 168

Answer 1

⇒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

      $=\sum_{N=1}^{k} \frac{E(x-\mu)^2}{N}$

Size of Sample taken in terms of Percentage

                    $=\frac{14}{168} \times 100\\\\=\frac{100}{12}\\\\=8.\bar{3}$

⇒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.