Find the mode of the following distribution:

| Classes | 10-20 | 20-40 | 40-60 | 60-80 | 80-100 |
|---|---|---|---|---|---|
| Frequency | 10 | 8 | 12 | 16 | 4 |

Question

Find the mode of the following distribution:

| Classes | 10-20 | 20-40 | 40-60 | 60-80 | 80-100 |
|---|---|---|---|---|---|
| Frequency | 10 | 8 | 12 | 16 | 4 |

Accepted Answer

Step 1: Modal class $= 60$-$80$ (highest frequency $= 16$). $l = 60$, $f_1 = 16$, $f_0 = 12$, $f_2 = 4$, $h = 20$
Step 2: Mode $= l + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} 	imes h = 60 + \frac{16 - 12}{32 - 12 - 4} 	imes 20 = 65$

Question

Solution