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The data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. What is the standard deviation of this data?

The data represented by the graph is normally distributed and adheres to the 68 95 99 7 rule What is the standard deviation of this

Answer :

Final answer:

The standard deviation of the data is 6.6.

Explanation:

Finding the Standard Deviation

Given the mean (μ) is 4.8. The graph shows two key points: -1.8 and 11.4. These are symmetric around the mean and likely represent one standard deviation below and above the mean, respectively, since the 68-95-99.7 rule is mentioned.

  1. Calculate the distance from the mean to either boundary:
    • 4.8 - (-1.8) = 6.6
    • 11.4 - 4.8 = 6.6
  2. Since both distances are equal, this value is the standard deviation (σ).

Therefore, the standard deviation of the data is 6.6.

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