AnswersHigh School Math 2 AStandard Deviation

Standard Deviation Answers

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1
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Which statement is most likely to be true?

A
The scores from Mrs. Jones’s class are the closest to the class mean.
B
The scores from Mrs. Rijo’s class are the closest to the class mean.
C
The scores from Mr. Phan’s class are the closest to the class mean.
D
The scores from Mrs. Scott’s class are the closest to the class mean.
2
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Sample Response: By analyzing the curve, you can tell that the average, or mean, grade is 70. This is also the median of the grades, so we know that one half of the scores are less than or equal to 70, and the other half of the scores are greater than or equal to 70. The bulk of the scores are between 55 and 85. What did you include in your response? Check all that apply.The mean and median of the scores is 70. Most of the scores are between 55 and 85.Half of the scores are less than or equal to

A
The mean and median of the scores is 70.
B
Most of the scores are between 55 and 85.
C
Half of the scores are less than or equal to 70, while the other half are greater than or equal to 70.
3

A normal distribution curve, where x = 70 and σ = 15, was created by a teacher using her students’ grades. What information about their performances can be obtained by analyzing the curve?

Answer:

By analyzing the curve, you can determine that the mean and median score is 70. This means that half of the students scored 70 or above and half scored 70 or below. Since the standard deviation is 15, most students (approximately 68%) scored within one standard deviation of the mean, which is between 55 and 85.

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