Calculate Margin of Error for a confidence interval of (1,9)

Posted by Valentine Belue on Thursday, May 23, 2024
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Calculate the margin of error and sample mean for

a confidence interval of (1,9)

Calculate interval size:

Interval Size = 9 - 1

Interval Size = 8

Calculate the margin of error:
Margin of Error  =  ±Interval Size
  2

Margin of Error  =  ±8
  2

Margin of Error = ±4

Calculate sample mean:

The sample mean is just the midpoint of the confidence interval

Sample Mean x  =  Interval Size
  2

Sample Mean x  =  9 + 1
  2

Sample Mean x  =  10
  2

Final Answers

Margin of Error = ±4

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What is the Answer?

Margin of Error = ±4

How does the Margin of Error from Confidence Interval Calculator work?

Free Margin of Error from Confidence Interval Calculator - Given a confidence interval, this determines the margin of error and sample mean.
This calculator has 1 input.

What 2 formulas are used for the Margin of Error from Confidence Interval Calculator?

Interval Size = x2 - x1
Margin of Error = ±Interval Size/2

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Margin of Error from Confidence Interval Calculator?

confidence intervala range of values so defined that there is a specified probability that the value of a parameter lies within it.margin of errora statistic expressing the amount of random sampling error in the results of a survey.
σp + z-score meanA statistical measurement also known as the average

Example calculations for the Margin of Error from Confidence Interval Calculator

Margin of Error from Confidence Interval Calculator Video


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