To calculate the probability of each number chosen, we can use the formula for probability:
\[ P(\text{number}) = \frac{\text{Number Who Chose That Number}}{\text{Total Number of People Surveyed}} \]
In this case, the total number of people surveyed is 100.
Part 1: Probability Calculations
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Probability that the number chosen is 1: \[ P(1) = \frac{15}{100} = 0.15 \]
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Probability that the number chosen is 2: \[ P(2) = \frac{26}{100} = 0.26 \]
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Probability that the number chosen is 3: \[ P(3) = \frac{21}{100} = 0.21 \]
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Probability that the number chosen is 4: \[ P(4) = \frac{22}{100} = 0.22 \]
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Probability that the number chosen is 5: \[ P(5) = \frac{16}{100} = 0.16 \]
Summary of Probabilities:
- \( P(1) = 0.15 \)
- \( P(2) = 0.26 \)
- \( P(3) = 0.21 \)
- \( P(4) = 0.22 \)
- \( P(5) = 0.16 \)
Part 2: General Conclusion
To draw a conclusion from the probabilities, we compare the likelihood of choosing different numbers.
The results indicate:
- The number 2 was chosen the most frequently (26 choices), indicating a preference towards the lower middle numbers.
- The numbers 1 and 5 were chosen the least frequently, suggesting that extremes (the lowest and highest numbers) were not favored.
Conclusion Options Evaluation
- A. People tend to pick the greatest number. (Incorrect — number 5 had the least frequency.)
- B. People tend not to pick the least or greatest numbers. (Seems accurate since numbers 1 and 5 have the lowest frequencies.)
- C. People tend to pick the least number. (Incorrect — number 1 had a low frequency.)
- D. People tend not to pick the middle numbers. (Incorrect — middle numbers, particularly, 2, 3, and 4, had higher frequencies.)
Given the observations, the correct answer is B. People tend not to pick the least or greatest numbers.