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Estimate the standard deviation in an ADHD childs score, using at least two decimals.

Question

Estimate the standard deviation in an ADHD child's score, using at least two decimals.

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Solution

To estimate the standard deviation of an ADHD child's score, we would need a set of score data to work with. Here’s how you can do it:

Break Down the Problem

  1. Gather the data set of scores from ADHD children.
  2. Calculate the mean (average) of the scores.
  3. Compute the squared differences from the mean.
  4. Find the variance by averaging the squared differences.
  5. Calculate the standard deviation by taking the square root of the variance.

Relevant Concepts

  • Mean: μ=xin \mu = \frac{\sum x_i}{n}
  • Variance: σ2=(xiμ)2n \sigma^2 = \frac{\sum (x_i - \mu)^2}{n}
  • Standard Deviation: σ=σ2 \sigma = \sqrt{\sigma^2}

Analysis and Detail

  1. Calculate the Mean:

    • Suppose the scores are x1,x2,,xn x_1, x_2, \ldots, x_n .
    • Calculate the mean μ \mu .
  2. Calculate the Squared Differences:

    • For each score xi x_i , compute (xiμ)2 (x_i - \mu)^2 .
  3. Compute the Variance:

    • Average the squared differences.
  4. Calculate the Standard Deviation:

    • Take the square root of the variance.

Verify and Summarize

  • Ensure accuracy in calculations at each step.
  • Summarize findings clearly.

Final Answer

  • Without specific data, I can't provide an exact numeric answer, but you can follow the above steps with your data set to calculate the standard deviation.

This problem has been solved

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