Mean of the Data
To find the mean, we sum all the ages and divide by the number of people.
- Sum of ages: 20 + 25 + 30 + 25 + 20 + 35 + 40 + 25 + 30 + 20 + 45 + 50 + 55 + 60 + 25 = 555
- Number of people: 15
Mean = Total Sum / Number of People = 555 / 15 = 37 years (Incorrect calculation in earlier explanation)
Mode of the Data
The mode is the value that appears most frequently in the data set.
- Ages: 20, 25, 30, 25, 20, 35, 40, 25, 30, 20, 45, 50, 55, 60, 25
- Frequencies:
- 20 appears 3 times
- 25 appears 5 times
- 30 appears 2 times
- 35, 40, 45, 50, 55, 60 appear once
The mode is 25 since it appears 5 times.
Range of the Data
The range is calculated by subtracting the smallest value from the largest value.
- Smallest age: 20
- Largest age: 60
Range = Largest Value - Smallest Value = 60 - 20 = 40 years
Summary of Results
- Mean: 37 years (correctly calculated)
- Mode: 25 years
- Range: 40 years
Therefore, the correct answer is option C (with the correction for the mean).