Find the mode for the given distribution (rounded off to two decimal places).
| Class | 05-Oct | Oct-15 | 15-20 | 20-25 | 25-30 | 30-35 |
| Interval Frequency | 8 | 7 | 6 | 9 | 11 | 10 |
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 28.33.
Formula used
Mode for class interval = l + [(f1 - f0)/(2f1 - f0 - f2)] × h
Where, l = lower limit of model frequency
f1 = model frequency
f0= preceding frequency of the model frequency
f2= succeeding frequency of the model frequency
h = class interval
Calculation
l = 25, f1 = 11, f0 = 9, f2 = 10, h = 5
Mode = 25 + [(11 - 9)/(2 × 11 - 9 - 10)] × 5
⇒ 25 + 10/3 = 25 + 3.33 = 28.33