Question

Daniel says that more than half the students spent 2 1 2 hours or more on homework. Liz says more than half the students spent less than 2 1 2 hours on homework. Who is correct? Explain.

Answer 1

Liz is correct

Explanation:

Given

See attachment for complete question

Required

Who is correct? Daniel or Liz

From the attached data, we have:

`Time: 1(3)/(4),\ 2(1)/(2),\ 2,\ 2(3)/(4),\ 1,\ 1(3)/(4),\ 1(1)/(4),\ 3,3(1)/(4),\ 3(3)/(4),\ 2,\ 2`

The total number of students is:

`n = 12`

The data that represents
`2(1)/(2)` or more is:

`Time: 2(1)/(2),\ 2(3)/(4),\ 3,3(1)/(4),\ 3(3)/(4)`

The frequency of this is 5

The frequency that represents
`2(1)/(2)` or less will be 7

This means that less than half spend
`2(1)/(2)` or more

and more than half spend
`2(1)/(2)` or more

Hence, Daniel is incorrect. Liz is correct