The problem provides a table showing the number of tractors owned by several farmers. The goal is to calculate the mean (average) number of tractors owned by these farmers.

Probability and StatisticsMeanAverageData AnalysisStatistics
2025/5/18

1. Problem Description

The problem provides a table showing the number of tractors owned by several farmers. The goal is to calculate the mean (average) number of tractors owned by these farmers.

2. Solution Steps

First, determine the number of tractors for each farmer by counting the tally marks.
- Farmer Andy: 5+5=105 + 5 = 10
- Farmer Rick: 5+5+5+4=195 + 5 + 5 + 4 = 19
- Farmer Walt: 5+2=75 + 2 = 7
- Farmer Allison: 5+5+3=135 + 5 + 3 = 13
- Farmer Judy: 44
- Farmer Rob: 22
- Farmer Megan: 5+1=65 + 1 = 6
Next, calculate the sum of the tractors:
Sum=10+19+7+13+4+2+6=61Sum = 10 + 19 + 7 + 13 + 4 + 2 + 6 = 61
Then, count the number of farmers, which is 77.
Finally, divide the sum of the tractors by the number of farmers to find the mean.
Mean=SumNumber of farmersMean = \frac{Sum}{Number\ of\ farmers}
Mean=6178.714Mean = \frac{61}{7} \approx 8.714
Round to the nearest whole number: 9

3. Final Answer

9

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