Practice30Create account

Continuing with that data (modal class 10.5–15.5, f₁ = 15, f₀ = 9, f₂ = 12), the mode is ____.

Class 10StatisticsStatistics and Probability
  • A14.33
  • B13.83
  • C11.17
  • D15.50

Step-by-Step Solution

Here l = 10.5 and h = 15.5 − 10.5 = 5. Mode = 10.5 + 5(15 − 9)/(30 − 9 − 12) = 10.5 + 30/9 = 10.5 + 3.33 = 13.83. (14.33 comes from using l = 11, the inclusive lower limit; 11.17 leaves out h.)
Answer: B) 13.83

Key idea: Mode for grouped data

**Modal class**: class with HIGHEST frequency.

**Mode formula**:
**Mode = ₁ − ₀) / ₁ − ₀ − ₂)**

Where:
- = lower limit of modal class
- = class width
- ₁ = frequency of modal class
- ₀ = frequency of class BEFORE modal class
- ₂ = frequency of class AFTER modal class

**Example**: Modal class 30–40 with ₁ = 12, ₀ = 5, ₂ = 8. .
Mode = ≈ 36.36.

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 10 Statistics practice

The modal class of a distribution turns out to be the very first class of the table. In…The number of cars passing a crossing was recorded in 100 half-hour intervals. Class…The runs scored by a batter in 40 innings are grouped as 0–20: 6, 20–40: 11, 40–60: 9,…A "less than" table reads: less than 10: 5, less than 20: 14, less than 30: 30, less…For that same "less than" table (less than 10: 5, less than 20: 14, less than 30: 30,…