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In a frequency table the values 12, 14, 16 and 18 have frequencies 6, 11, 11 and 4. What is the mode?

Class 9StatisticsStatistics and Probability
  • A11
  • B14 and 16
  • C16
  • D14

Step-by-Step Solution

The highest frequency is 11 and it occurs for two values, so the data is bimodal with modes 14 and 16. The mode is the value with the highest frequency, not the frequency 11 itself.
Answer: B) 14 and 16

Key idea: Mode — the most frequent value

**Mode** = the observation that occurs the most times.

- **Unimodal**: 2, 3, 4, 4, 5, 6 → mode = 4.
- **Bimodal**: 1, 2, 2, 3, 3, 4 → modes 2 and 3.
- **No mode**: 1, 2, 3, 4 (each appears once — sometimes considered 'no mode').

For a frequency table, the mode is the value with the HIGHEST frequency.

Mode is useful for categorical data (most popular colour, most common shoe size). Mean and median don't apply there.

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