- A6
- B8
- C7
- D9
Step-by-Step Solution
Size 7 was sold 4 times, more often than any other size, so the mode is 7. For a stocking decision the mode is the useful summary, not the mean or median.
Answer: C) 7
A shop sold shoes in these sizes during one day: 6, 7, 8, 7, 9, 7, 8, 6, 7. Which size should the shopkeeper stock the most of?
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.
Master this chapter in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Statistics practice questions
More Class 9 Statistics practice
Arrange 17, 4, 23, 8, 15, 42, 16 in ascending order. By how much does the range exceed…Assertion (A): The class mark of the interval 20–30 is 20. Reason (R): The class mark is…The runs scored by 10 players were 3, 12, 25, 7, 18, 22, 9, 15, 28 and 11. The data is…The observations 6, 8, x, 15, 18 are written in ascending order and their median is 11.…Which statement about a frequency polygon is TRUE?