Questions: begin with a lower class limit of 1.0. Does the frequency distribution appear to be a normal distribution? Construct the frequency distribution. Magnitude (Richter) Frequency 1.0- - - - - - - - (Type integers or decimals. Do not round.) Does the frequency distribution appear to be a normal distribution? The frequency distribution a normal distribution because the frequencies

begin with a lower class limit of 1.0. Does the frequency distribution appear to be a normal distribution?

Construct the frequency distribution.
Magnitude (Richter)  Frequency 
1.0-  
-  
-  
-  
-  
-  
-  
-  
(Type integers or decimals. Do not round.)
Does the frequency distribution appear to be a normal distribution?
The frequency distribution a normal distribution because the frequencies
Transcript text: begin with a lower class limit of 1.0. Does the frequency distribution appear to be a normal distribution? Construct the frequency distribution. \begin{tabular}{c|c} \hline Magnitude (Richter) & Frequency \\ \hline $1.0-\square$ & $\square$ \\ \hline$\square-\square$ & $\square$ \\ \hline$\square-\square$ & $\square$ \\ \hline$\square-\square$ & $\square$ \\ \hline$\square-\square$ & $\square$ \\ \hline$\square-\square$ & $\square$ \\ \hline$\square-\square$ & $\square$ \\ \hline$\square-\square$ & $\square$ \\ \hline \end{tabular} (Type integers or decimals. Do not round.) Does the frequency distribution appear to be a normal distribution? The frequency distribution $\square$ a normal distribution because the frequencies $\square$
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Solution

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To determine if the frequency distribution appears to be a normal distribution, we need to construct the frequency distribution table based on the given earthquake magnitudes. However, since the actual earthquake magnitudes are not provided in the question, I will guide you on how to construct the table and assess normality.

Steps to Construct the Frequency Distribution:
  1. Determine Class Intervals:

    • Start with a lower class limit of 1.0.
    • Decide on the class width. For example, if you choose a class width of 0.5, the intervals would be 1.0-1.5, 1.5-2.0, etc.
  2. Count Frequencies:

    • Count how many earthquake magnitudes fall into each class interval.
  3. Fill in the Table:

    • Use the class intervals and their corresponding frequencies to fill in the table.
Example Frequency Distribution Table:

Assuming a class width of 0.5, the table might look like this:

\[ \begin{tabular}{c|c} \hline Magnitude (Richter) & Frequency \\ \hline 1.0-1.5 & 5 \\ \hline 1.5-2.0 & 10 \\ \hline 2.0-2.5 & 15 \\ \hline 2.5-3.0 & 20 \\ \hline 3.0-3.5 & 15 \\ \hline 3.5-4.0 & 10 \\ \hline 4.0-4.5 & 5 \\ \hline \end{tabular} \]

Assessing Normality:

To determine if the distribution is normal, consider the following:

  • Symmetry: A normal distribution is symmetric around the mean. Check if the frequencies increase to a peak and then decrease symmetrically.
  • Bell Shape: The distribution should resemble a bell curve.
  • Empirical Rule: Approximately 68% of the data should fall within one standard deviation of the mean, 95% within two, and 99.7% within three.
Conclusion:

The frequency distribution appears to be a normal distribution if the frequencies increase to a peak and then decrease symmetrically, forming a bell-shaped curve. If the distribution is skewed or has multiple peaks, it is not normal.

Without the actual data, this is a general guideline on how to construct the frequency distribution and assess its normality.

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