Question

A scientist is studying tulips and daffodils. The scientist estimates that there are 150 tulips in the population of 600 tulips and daffodils. He chooses flowers from random parts of the garden to study. Which best explains how he can choose a random sample of flowers to represent the population? He can choose 50 flowers. He can choose 25 tulips and 25 daffodils. He can choose 15 tulips and 60 daffodils. He can choose 10 tulips and 30 daffodils.

Answer 1

Answer: D. He can choose 10 tulips and 30 daffodils.

Answer 2

Answer: Last Option is correct.

Explanation:

Since we have given that

Total number of tulips and daffodils = 600

Number of tulips = 150

Number of daffodils is given by

`600-150\\\\=450`

So, We can get the ratio of tulips to daffodils which is given by

`Tulips:Daffodils\\\\150:450\\\\1:3`

So, we need to choose a random sample of flowers to represent the population.

1) He can choose 50 flowers.

As there are 1:3 of tulip and daffodils flowers but if we divide 50 by 4 it will give a decimal number, so it can't represent the required thing.

2) He can choose 25 tulips and 25 daffodils

As they are divided into 1:1 so, it can't represent the 1:3 tulip to daffodils population.

3) He can choose 15 tulips and 60 daffodils

As it is divided into 1:4 inspite of 1:3.So it can't represent the required population.

4) He can choose 10 tulips and 30 daffodils.

So, Last option which states that he can choose 10 tulips and 30 daffodils as in this case the ratio of tulips to daffodils is 1:3.

Hence, Last Option is correct.