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question the ages at inauguration of 16 u.s. presidents are below. what…

Question

question
the ages at inauguration of 16 u.s. presidents are below. what is the mode?
42, 60, 61, 51, 55, 62, 43, 54, 52, 51, 64, 69, 46, 56, 56, 51
select the correct answer below:
○ 51
○ 55
○ 56
○ 52

Explanation:

Step1: Define Mode

The mode is the value that appears most frequently in a data set.

Step2: Count Frequencies

  • Count occurrences of each age:
  • 42: 1
  • 43: 1
  • 46: 1
  • 51: Let's count. The data points with 51 are at positions (4th, 10th, 16th). So 3 times.
  • 52: 1
  • 54: 1
  • 55: 1
  • 56: 2 (positions 14th, 15th)
  • 60: 1
  • 61: 1
  • 62: 1
  • 64: 1
  • 69: 1

Step3: Identify Highest Frequency

Among all the counts, 51 has the highest frequency (3 times), which is more than the frequency of other values (e.g., 56 has 2, others have 1).

Answer:

A. 51