Question

1. the list shows the ages of first-year teachers in one school system. what is the mode of the ages? 23, 42, 21, 25, 23, 24, 23, 24, 37, 23, 39, 51, 63, 24, 55

○ 51
○ 23
○ 37
○ 24

Explanation:

Step1: Define Mode

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

Step2: Count Frequencies

• Count of 23: Let's list the data: 23, 42, 21, 25, 23, 24, 23, 24, 37, 23, 39, 51, 62, 24.
• 23 appears at positions 1, 5, 7, 10 → 4 times.
• Count of 24: Appears at positions 6, 8, 14 → 3 times.
• Other values (42,21,25,37,39,51,62) appear once.

Step3: Identify Mode

Since 23 appears most frequently (4 times), it is the mode.

Answer:

23 (the option with "23")