- A53
- B129
- C43
- D38
Step-by-Step Solution
Range = largest − smallest, so smallest = 91 − 38 = 53. Adding instead of subtracting gives 129, which is larger than the biggest value and therefore impossible.
Answer: A) 53
The range of a data set is 38 and its largest observation is 91. Find the smallest observation.
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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