Math Problem Statement

Take the square root of your previous answer.  This is the Standard Deviation of this data set.  Round to the nearest hundredth.

Solution

To determine the standard deviation, let's proceed step by step:

  1. Recall the formula for standard deviation: σ=(xiμ)2n\sigma = \sqrt{\frac{\sum (x_i - \mu)^2}{n}} Here, σ\sigma is the standard deviation, xix_i represents each data point, μ\mu is the mean, and nn is the number of data points.

  2. Confirm the context:

    • If the previous answer referenced a value like the sum of squared deviations (e.g., (xiμ)2\sum (x_i - \mu)^2), that value should now be divided by nn or (n1)(n-1) (depending on whether the data set is for a population or sample) and then square-rooted.
    • If the previous answer itself was the variance, simply take its square root.
  3. Rounding: After computing the square root, round the result to the nearest hundredth.

Please provide the exact value or dataset referenced in the previous step so I can accurately compute the standard deviation.

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Math Problem Analysis

Mathematical Concepts

Statistics
Standard Deviation
Square Roots
Rounding

Formulas

Standard deviation formula: σ = √(Σ(xᵢ - μ)² / n)

Theorems

Square root property

Suitable Grade Level

Grades 9-12