Practice30Create account

A study of the number of SMS messages sent per day by teenagers gave frequencies for classes 0-10, 10-20, 20-30, 30-40, 40-50 as 10, 25, 25, 8, 2.
Why might the mode formula give a misleading result here?

Class 10Mode of Grouped DataStatistics and Probability
  • AThe two adjacent classes 10-20 and 20-30 tie for highest frequency, making the modal class ambiguous
  • BThe class size is not constant
  • CThere are too few classes
  • DThe total frequency is even

Step-by-Step Solution

Both 10-20 and 20-30 have frequency 25, so there is no single clear modal class; the formula's choice of f0 and f2 becomes ambiguous, giving a misleading mode.
Answer: A) The two adjacent classes 10-20 and 20-30 tie for highest frequency, making the modal class ambiguous

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 Mode of Grouped Data practice questions

More Class 10 Mode of Grouped Data practice

Using question 39 data (continuous modal class 3.5-6.5, f1 = 20, f0 = 8, f2 = 15, h =…The histogram shows the number of hours per week 60 students in Lucknow spend on online…A poultry farm in Haryana grouped the weights (in kg) of 50 chickens. The modal class is…For a grouped distribution the mode is 28, the modal class is 25-30 (h = 5, l = 25), f0…The lifetimes (in hours) of 200 LED bulbs made in a Coimbatore factory are grouped in…