Find the mean of the data summarized in the given frequency distribution. 4) The highway speeds of 100 cars are summarized in the frequency distribution below. Find the mean speed. Speed (mph) # of Cars (f) Midpoint (x) (f*x) 30-39 4 40-49 19 50-59 50 60-69 15 70-79 12

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Find the mean of the data summarized in the given frequency distribution.

4) The highway speeds of 100 cars are summarized in the frequency distribution below. Find the mean speed.

| Speed (mph) | # of Cars (f) | Midpoint (x) | (f*x) |
|-------------|---------------|--------------|-------|
| 30-39       | 4             |              |       |
| 40-49       | 19            |              |       |
| 50-59       | 50            |              |       |
| 60-69       | 15            |              |       |
| 70-79       | 12            |              |       |

**Instructions for Calculating the Mean:**
1. Determine the midpoint for each speed range.
2. Multiply each midpoint by the frequency of cars for that range to find (f*x).
3. Sum up all the (f*x) values.
4. Divide the total by the sum of the frequencies (100) to get the mean speed.

**Explanation of the Table:**
- The first column lists the speed ranges in miles per hour (mph).
- The second column shows the number of cars (frequency) that fall within each speed range.
- The third column is for calculating the midpoint of each speed range.
- The fourth column is for calculating the product of the frequency and the midpoint (f*x).
Transcribed Image Text:Find the mean of the data summarized in the given frequency distribution. 4) The highway speeds of 100 cars are summarized in the frequency distribution below. Find the mean speed. | Speed (mph) | # of Cars (f) | Midpoint (x) | (f*x) | |-------------|---------------|--------------|-------| | 30-39 | 4 | | | | 40-49 | 19 | | | | 50-59 | 50 | | | | 60-69 | 15 | | | | 70-79 | 12 | | | **Instructions for Calculating the Mean:** 1. Determine the midpoint for each speed range. 2. Multiply each midpoint by the frequency of cars for that range to find (f*x). 3. Sum up all the (f*x) values. 4. Divide the total by the sum of the frequencies (100) to get the mean speed. **Explanation of the Table:** - The first column lists the speed ranges in miles per hour (mph). - The second column shows the number of cars (frequency) that fall within each speed range. - The third column is for calculating the midpoint of each speed range. - The fourth column is for calculating the product of the frequency and the midpoint (f*x).
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