Question

A jar contains 1,000 marbles. Omar is entering a contest to guess the number of any one color of marbles in the jar. He is allowed to take four random samples of 200 marbles. The results of his samples are shown in the table.

Omar uses the information in the table and the following steps to estimate the number of blue marbles in the jar.

He considers the smallest ratio of blue marbles: 58/200
He considers the largest ratio of blue marbles: 82/200
He estimates that there are most likely between 580 and 820 blue marbles in the jar.

Is Omar's estimate reasonable? Why or why not?

Answer 1

It is not because only doing the first one you need to scale it to 1000 so you would need to multiply 58 by 5 and that only gets you to 290 so automatically the estimate can not be reasonable.