Question

Age	Male	Female	Total
$0-18$ year old	$56$	$50$	$106$
$19-40$ years old	$108$	$90$	$198$
$41-65$ years old	$126$	$135$	$261$
$66+$ years old	$90$	$96$	$185$
Total	$380$	$370$	$750$

The age of a random sample of people from a population is summarized in the table above. The whole population consists of $31,000$ people. Mark the correct statement.

• A. We expect that there are $15,200$ females in the population
• B. We expect there to be $5580$ females $65$ years old and younger in the population
• C. We expect there to be $9300$ females between $19$ and $65$ years old in the population
• D. We cannot determine the number of females in the population with the information given

Answer 1

Answer: (C)

We expect there to be $9300$ females between $19$ and $65$ years old in the population

No of female$=\frac{370}{750}\times 31000=15293.33$

Option $A$ not possible.

No of females $65$ yrs old and younger$=\frac{50+90+135}{750}\times 31000$

$=\frac{275}{750}\times 31000=11366.67$

No of female between $19$ to $65$ yr old$=\frac{90+135}{750}\times 31000$

$=\frac{225}{750}\times 31000=9300$