Question

In a recent survey, 445 out of 500 people chose

Taylor Swift as their favourite singer. If a similar survey was conducted out of 2,000 people, how many people would choose Miss Swift as their favorite Singer? ​

Answer 1

1780 would choose Miss Swift

Answer 2

1,780 people

Explanation:

Given:

445 out of 500 people chose Taylor Swift as their favourite singer.

To find:

No. of people that Miss Swift choose as a favourite Singer.

Solution:

We can use the following steps to calculate the number of people who would choose Taylor Swift as their favorite singer in a survey of 2,000 people:

Firstly calculate the percentage of people who chose Taylor Swift as their favorite singer in the original survey:

`\begin{aligned}\textsf{Percentage of people who chose Taylor Swift } & = (445 )/( 500)* 100 \% \\\\ &=0.89 * 100\% \\\\ & = 89 \% \end{aligned}`

And

Multiply the percentage by the total number of people in the second survey to get the estimated number of people who would choose Taylor Swift in that survey:

`\begin{aligned}\textsf{No. of people who would choose Taylor Swift } &= 89 \% * 2000 \\\\ &= 0.89 * 2000 \\\\ & = 1780 \end{aligned}`

Therefore, we can estimate that 1,780 people would choose Taylor Swift as their favorite singer in a survey of 2,000 people.