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

Answer:

Liz is correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Who is correct? Daniel or Liz

From the attached data, we have:

$Time: 1\frac{3}{4},\ 2\frac{1}{2},\ 2,\ 2\frac{3}{4},\ 1,\ 1\frac{3}{4},\ 1\frac{1}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4},\ 2,\ 2$

The total number of students is:

$n = 12$

The data that represents  $2\frac{1}{2}$ or more is:

$Time: 2\frac{1}{2},\ 2\frac{3}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4}$

The frequency of this is 5

The frequency that represents $2\frac{1}{2}$ or less will be 7

This means that less than half spend $2\frac{1}{2}$ or more

and more than half spend $2\frac{1}{2}$ or more

Hence, Daniel is incorrect. Liz is correct