To find the mode of the ages at which U.S. Presidents began their terms, follow these steps:
1. List all the ages:
57, 61, 50, 54, 54, 54, 56, 54,
61, 54, 48, 49, 42, 51, 61, 57,
68, 65, 50, 51, 60, 52, 57, 51,
52, 47, 56, 62, 69, 58, 49, 56,
55, 55, 43, 64, 57, 64, 46, 55,
51, 55, 46.
2. Count the frequency of each age:
- 42: 1
- 43: 1
- 46: 2
- 47: 1
- 48: 1
- 49: 2
- 50: 2
- 51: 4
- 52: 2
- 54: 6
- 55: 4
- 56: 3
- 57: 4
- 58: 1
- 60: 1
- 61: 3
- 62: 1
- 64: 2
- 65: 1
- 68: 1
- 69: 1
3. Identify the age with the highest frequency:
We see that the age 54 appears 6 times, which is more frequent than any other age.
4. Conclusion:
The mode for the presidents' age when they began their term is 54.
Therefore, the correct answer is b. 54.
