- A1
- B0
- C2
- D3
Step-by-Step Solution
Both 3 and 5 occur twice, which is the highest frequency; 7, 9 and 11 occur once each. Two values tie for the top frequency, so the data is bimodal — it has 2 modes.
Answer: C) 2
How many modes does the data 3, 5, 3, 7, 5, 9, 11 have?
Class 9StatisticsStatistics and Probability
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.
- **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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