Algebra II : Probability

Study concepts, example questions & explanations for Algebra II

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Example Questions

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Example Question #6 : Mean, Standard Deviation, And Normal Distribution

In a normal distribution, what percentage is covered within one standard deviation?

Possible Answers:

50%

68%

95%

34%

99.7%

Correct answer:

68%

Explanation:

By drawing a bell curve, the middle line is 50%. One standard deviation left and right of the middle line is 34% each. That means one standard deviation within is 68%

Example Question #7 : Mean, Standard Deviation, And Normal Distribution

If the mean is  and the standard deviation is , which of the following is NOT within two standard deviations?

Possible Answers:

Correct answer:

Explanation:

Two standard deviations means to double the standard deviation value.

This means the range is  to 

Only  is not in the range. 

Example Question #8 : Mean, Standard Deviation, And Normal Distribution

Ibram was paid $5000 for editing a 2200-page encyclopedia. What was his rate earned per page?

Possible Answers:

$0.44

$1.27

$2.27

$0.56

Correct answer:

$2.27

Explanation:

This question is really just asking for the average dollar per page. This could be easily calculated:

However, you might also think of this as a rate problem:

D=RT

Using the information from the question, we can see that D=5000 and T=2200.

This comes out to what we solved above:

Example Question #2 : Mean, Standard Deviation, And Normal Distribution

Standard Deviation can be calculated from what statistical term?

Possible Answers:

Range

Median

Quartile

Variance

Mode

Correct answer:

Variance

Explanation:

Another way to calculate standard deviation is the square root of variance.

Variance is,

 .  

Taking the square root of this is how standard deviation can be calculated. 

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