Question

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O Linear Equations
Finding the value for a new score that will yield a given mean
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Simple Syllabus
A AL
Yolanda has scored 73, 66, 74, 91, and 67 on her previous five tests. What score does she need on her next test so that her average (mean) is

Answer 1

Yolanda needs to score 179 on her next test to achieve an average (mean) of 80.

Step-by-step explanation:

In order to find the score Yolanda needs on her next test to achieve a given mean, we can determine the sum of her previous scores and add it to the product of the desired mean and the number of tests plus one (to include the score of the next test). Then, we divide this sum by the number of tests plus one to find the required score.

Let's calculate:

1. Add the scores: 73 + 66 + 74 + 91 + 67 = 371.
2. Determine the desired mean: Mean = 80.
3. Number of tests: 5.
4. Required score = (Mean * (Number of tests + 1)) - Sum of previous scores = (80 * (5 + 1)) - 371 = 179.

Therefore, Yolanda needs to score 179 on her next test to achieve an average (mean) of 80.

Learn more about Finding the required score for a given mean in linear equations