Find the mode of the following frequency distribution:

| Class | $10$-$20$ | $20$-$30$ | $30$-$40$ | $40$-$50$ | $50$-$60$ |
|-------|-----------|-----------|-----------|-----------|----------|
| Fre

Question

Find the mode of the following frequency distribution:

| Class | $10$-$20$ | $20$-$30$ | $30$-$40$ | $40$-$50$ | $50$-$60$ |
|-------|-----------|-----------|-----------|-----------|----------|
| Frequency | $15$ | $10$ | $12$ | $17$ | $4$ |

Accepted Answer

Step 1: Modal class is $40$-$50$ (highest frequency $= 17$). $l = 40$, $f_1 = 17$, $f_0 = 12$, $f_2 = 4$, $h = 10$.
Step 2: Mode $= l + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} 	imes h = 40 + \frac{17 - 12}{34 - 12 - 4} 	imes 10 = 40 + \frac{50}{18}$
Step 3: $= 40 + 2.7 = 42.7$

Question

Solution