Practice30Create account

Find the mode of the daily pocket money (₹) of 64 children. Class 11–13: 7, 13–15: 6, 15–17: 9, 17–19: 13, 19–21: 20, 21–23: 5, 23–25: 4.

Class 10StatisticsStatistics and Probability
  • A19.32
  • B19.70
  • C20.00
  • D19.64

Step-by-Step Solution

The highest frequency is 20, so the modal class is 19–21 with ₁ = 20, ₀ = 13, ₂ = 5. Mode = = ₹19.64. (19.32 drops the factor ; 19.70 uses ₁ = 20 in the denominator instead of ₁ − ₀ − ₂ = 22.)
Answer: D) 19.64

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 inclusive table reads 1–5: 3, 6–10: 9, 11–15: 15, 16–20: 12, 21–25: 6. Written in…Continuing with that data (modal class 10.5–15.5, f₁ = 15, f₀ = 9, f₂ = 12), the mode is…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,…