To answer your questions step by step, let's use the provided data regarding ages at which people moved to the US. If you've uploaded the data, I will extract the values and proceed. Otherwise, please provide the dataset or describe it numerically.

Steps to Complete the Tasks:

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(a) Calculate the mean and standard deviation

Mean ($\mu$) is the average of the dataset: $\mu = \frac{\sum x_i}{n}$

Standard Deviation ($\sigma$) measures the spread of the data: $\sigma = \sqrt{\frac{\sum (x_i - \mu)^2}{n-1}}$

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(b) Draw a Histogram

The histogram will visually display the frequency distribution of ages in specific intervals (bins).

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(c) Use the Empirical Rule or Chebyshev’s Theorem

1. Empirical Rule (only applies for normal distributions):

   • 68% of data lies within 1 standard deviation ($\mu \pm \sigma$).
   • 95% of data lies within 2 standard deviations ($\mu \pm 2\sigma$).
   • 99.7% of data lies within 3 standard deviations ($\mu \pm 3\sigma$).

2. Chebyshev’s Theorem (applies to any distribution):

   • At least $1 - \frac{1}{k^2}$ of the data lies within $k$ standard deviations from the mean.

If you can share the dataset, I will calculate the mean, standard deviation, create a histogram, and apply the appropriate theorem to interpret the results.

Would you like to upload the data or share the numerical values?