Question

Marlene has the following scores on her vocabulary tests.

89, 85, 73, 88, 95

If Marlene gets a score of 86 on her next test, what will happen to the MEAN of her scores?

It will decrease.


It will stay the same.


It will increase.


It will be the same as the median test score.

Notes

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Answers

GPT-4o mini
To determine how Marlene's mean score will change after she gets a score of 86 on her next test, we can first calculate her current mean score.

1. **Finding the current mean:**
- Current scores: 89, 85, 73, 88, 95
- Sum of the current scores: \( 89 + 85 + 73 + 88 + 95 = 430 \)
- Number of tests: 5
- Current mean: \( \frac{430}{5} = 86 \)

2. **Finding the new mean after the next score of 86:**
- New sum: \( 430 + 86 = 516 \)
- New number of tests: \( 5 + 1 = 6 \)
- New mean: \( \frac{516}{6} = 86 \)

Since the new mean after adding the score of 86 is still 86 (the same as the current mean), we can conclude that:

**Answer: It will stay the same.**

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