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Latisha’s friend Brandee forgot to make up a test and had these scores: 80%, 92%, 91%, ,75% ,89% ,84% ,0% and . 85% Homework Help ✎

Calculate Brandee’s mean. (Refer to the glossary in the eBook if you do not remember how to do this.) Does this average score really represent her abilities? Why or why not?

Brandee persuaded her teacher, Ms. Juarez, to allow her to make up the missed test. Brandee received a . Calculate her new mean.

What difference did the score make? Does this new mean represent Brandee’s ability more accurately?

Sagot :

Using mean and outlier concepts, it is found that:

  • Brandee's mean was of 74.5, which doesn't really represent her abilities, as in 7 of the 8 tests she got higher grades than this, but her mean is really affected by the outlier grade of 0%, for the test she missed.
  • Brandee's new mean will be of 85.75, which increases her final grade by 11.25 points, and is a more accurate representation of her abilities, as there is not an outlier grade.

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  • The mean of a data-set is the sum of all it's values divided by the number of values.
  • In this question, the data-set is Brandee's grades, that is: 80%, 92%, 91%, ,75% ,89% ,84% ,0% and 85%.

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  • There are 8 grades.

Thus, the mean is:

[tex]M = \frac{80 + 92 + 91 + 75 + 89 + 84 + 0 + 85}{8} = 74.5[/tex]

Brandee's mean was of 74.5, which doesn't really represent her abilities, as in 7 of the 8 tests she got higher grades than this, but her mean is really affected by the outlier grade of 0%, for the test she missed.

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  • Supposing her grade on the make up test was of 90%, the new mean will be of:

[tex]M = \frac{80 + 92 + 91 + 75 + 89 + 84 + 90 + 85}{8} = 85.75[/tex]

Brandee's new mean will be of 85.75, which increases her final grade by 11.25 points, and is a more accurate representation of her abilities, as there is not an outlier grade.

A similar problem is given at https://brainly.com/question/24097242

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