Question

WILL FAN AND MEDAL The table below shows the size of nine families selected at random from two neighborhoods in a large city: Family Size (in number of people) Neighborhood Q 2 5 4 3 2 5 3 6 5 Neighborhood S 2 3 2 3 7 2 3 3 2 Which neighborhood appears to have a bigger family size? Explain your answer using two or three sentences. Make sure to use facts to support your answer.

Answer 1

We can compare the two data by their mean

Neighbourhood Q = $\frac{2+5+4+3+2+5+3+6+5}{9}= \frac{35}{9}=3.9$
Neighbourhood S = $\frac{2+3+2+3+7+2+3+3+2}{9}= \frac{27}{9}=3$

Neighbourhood Q has larger mean than Neighbourhood S so it appears Neighbourhood Q has larger family size.