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Julie says the most amount of time spent homework is 1 1/2 times the least amount of time spent on homework. Is she correct? Explain.
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 2 1/2 hours on homework. Who is correct? Explain.

Answer :

From the values in the statistical data we have;

  • The most amount of time spent is [tex]3\frac{3}{4}[/tex] the least amount of time, Julie is incorrect
  • Liz is correct because 7 out of 12 students spend less than [tex]2\frac{1}{2}[/tex] on homework

How can the given statements be evaluated?

The possible given data in question, are as follows;

[tex]\begin{array}{cccc}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\end{array}\right][/tex]

From the data, we have;

The most amount of time spent = [tex]3\frac{3}{4}[/tex]

The least amount of time spent = 1

Therefore;

The most amount of time is [tex]3\frac{3}{4} \times 1[/tex] = [tex]3\frac{3}{4}[/tex] times the least amount of time

  • Julie is incorrect

Second part;

The number of students that spent less than [tex]2\frac{1}{2}[/tex] = 7

The number of students that spent [tex]2\frac{1}{2}[/tex] or more = 5

The number of students in the survey = 12

Therefore, more than half the students spent less than [tex]\mathbf{2\frac{1}{2}}[/tex] hours on homework

  • Liz is correct

Learn more about analysis of statistical data here:

https://brainly.com/question/12150562

https://brainly.com/question/5777247

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