use the magnitudes, rounded to two decimal pl...
use the magnitudes, rounded to two decimal places, of the 100 earthquakes included in the accompanying data set to construct a frequency distribution. use a class width of 0.50 and begin with a lower class limit of 0.00.\nclick the icon to view the earthquake magnitudes.\nconstruct the frequency distribution.\nmagnitude frequency\n0.00 - 0.50\n(type integers or decimals. do not round.)\nearthquake magnitudes\nmagnitudes\n0.71 0.74 0.63 0.39 0.69\n2.18 1.99 0.65 1.22 0.18\n1.63 1.32 2.96 0.89 1.76\n1.01 1.25 0.00 0.66 1.47\n1.64 1.81 0.99 1.57 0.41\n1.28 0.84 1.34 0.53 1.28\n0.92 1.01 0.79 0.79 1.45\n0.99 2.25 2.47 1.81 1.24\n1.49 0.84 1.42 0.99 1.24\n1.42 1.34 0.92 0.33 1.38\n1.29 0.82 1.34 0.55 1.25\n1.01 1.25 0.09 0.64 1.45\n1.62 1.81 0.99 1.56 0.29\n2.19 1.96 0.65 1.23 0.26\n0.71 0.74 0.63 0.39 0.69\n1.41 1.36 0.94 0.46 1.39\n1.01 2.23 2.47 1.79 1.25\n0.93 0.99 0.79 0.79 1.44\n1.48 0.85 1.42 1.01 1.26\n1.65 1.33 2.94 0.89 1.74
Answer
# Explanation:
## Step1: Define the first class
The first class is \(0.00 - 0.50\). We count the number of earthquake - magnitudes that fall within this range from the given data set.
## Step2: Define the second class
The second class is \(0.50 - 1.00\). We count the number of earthquake - magnitudes in this range.
## Step3: Define the third class
The third class is \(1.00 - 1.50\). We count the number of earthquake - magnitudes in this range.
## Step4: Define the fourth class
The fourth class is \(1.50 - 2.00\). We count the number of earthquake - magnitudes in this range.
## Step5: Define the fifth class
The fifth class is \(2.00 - 2.50\). We count the number of earthquake - magnitudes in this range.
Counting the data values:
| Magnitude | Frequency |
|---|---|
| \(0.00 - 0.50\) | 10 |
| \(0.50 - 1.00\) | 33 |
| \(1.00 - 1.50\) | 37 |
| \(1.50 - 2.00\) | 15 |
| \(2.00 - 2.50\) | 5 |
# Answer:
| Magnitude | Frequency |
|---|---|
| \(0.00 - 0.50\) | 10 |
| \(0.50 - 1.00\) | 33 |
| \(1.00 - 1.50\) | 37 |
| \(1.50 - 2.00\) | 15 |
| \(2.00 - 2.50\) | 5 |