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.

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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:

[tex]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[/tex]

The total number of students is:

[tex]n = 12[/tex]

The data that represents  [tex]2\frac{1}{2}[/tex] or more is:

[tex]Time: 2\frac{1}{2},\ 2\frac{3}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4}[/tex]

The frequency of this is 5

The frequency that represents [tex]2\frac{1}{2}[/tex] or less will be 7

This means that less than half spend [tex]2\frac{1}{2}[/tex] or more

and more than half spend [tex]2\frac{1}{2}[/tex] or more

Hence, Daniel is incorrect. Liz is correct

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