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The standard deviation for a set of data is 5.5. The mean is 265. What is the margin of error?

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  1. 17 May, 18:31
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    Step-by-step explanation:

    took the test on k12
  2. 17 May, 18:54
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    The margin of error for the give set of data = 10.78

    Step-by-step explanation:

    Standard deviation = 5.5

    Mean = 265

    To calculate the margin of error for the given set of data : Simply multiply the given standard deviation with the associated z score

    Now, the confidence level is not given. So, assume the confidence level to be 95%

    Z-score for 95% confidence level = 1.96

    Therefore, Margin of error = Z-score for 95% confidence level * Standard deviation

    ⇒ Margin of error = 1.96 * 5.5

    ⇒ Margin of error = 10.78

    Hence, the margin of error for the give set of data = 10.78
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