Question

Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per day (rounded to the nearest hour):
Number of hours in school per day 4 5 6 7 8 Sample A: Number of students 70 100 125 135 70 Sample B: Number of students 80 90 120 125 85 Meg concludes that students spend a mean of 7 hours in school each day. Tara thinks the mean is 6 hours. Who is correct—Meg or Tara? Explain your answer in two or three sentences. Make sure to use facts to support your answer.

Answer 1

Answer:

The mean would be 6, meaning Tara is correct.

Step-by-step explanation:

The reason to why this is the answer is that I had to add all the “number of hours in a school per day” to get 30. Then, you would have to divide 30 by 5 (because you have five different hours for a school day) to get 6. Your mean would be 6 because mean is adding up the amount of something, then dividing it of how many numbers you added.

Answer 2

Tara think correct mean i.e., 6 . The student spends a mean of 6 hours in school each day.

Tara is correct.

What is mean of the data?

Arithmetic mean or mean or average is the number that is obtained by adding the values of all the items of a series and dividing it by the number of observations.

As per given that :

Time slots (in hours): 4, 5, 6, 7, 8

Sample A: 70 100 125 135 70

Sample B: 80 90 120 125 85

For Sample A, the mean will be

$\frac{\sum fx}{\sum f}$= $\frac{3035}{500}$

      =6.07

For Sample B, the mean will be

$\frac{\sum fx}{\sum f}$= $\frac{3045}{500}$

      =6.09

The average mean will be = $\frac{6.07+6.09}{2}$

                                            =6.08

Tara assumed the correct mean.

Learn more about mean here:

https://brainly.com/question/16415816

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