Find the mode of the following data:

| Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 | 120-140 |
|---|---|---|---|---|---|---|---|
| Frequency | 6 | 8 | 10 | 12 | 6 | 5 | 3 |

Question

Find the mode of the following data:

| Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 | 120-140 |
|---|---|---|---|---|---|---|---|
| Frequency | 6 | 8 | 10 | 12 | 6 | 5 | 3 |

Accepted Answer

Step 1: Modal class: $60 - 80$
Mode $= l + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} 	imes h = 60 + \frac{12 - 10}{24 - 10 - 6} 	imes 20$
Step 2: $= 60 + 5 = 65$

Question

Solution