Compute the mode for the following frequency distribution:

| Size of items (in cm) | 0-4 | 4-8 | 8-12 | 12-16 | 16-20 | 20-24 | 24-28 |
|---|---|---|---|---|---|---|---|
| Frequency | 5 | 7 | 9 | 17

Question

Compute the mode for the following frequency distribution:

| Size of items (in cm) | 0-4 | 4-8 | 8-12 | 12-16 | 16-20 | 20-24 | 24-28 |
|---|---|---|---|---|---|---|---|
| Frequency | 5 | 7 | 9 | 17 | 12 | 10 | 6 |

Accepted Answer

Step 1: Modal class is $12$-$16$ (highest frequency $= 17$). $l = 12$, $f_0 = 9$, $f_1 = 17$, $f_2 = 12$, $h = 4$
Step 2: Mode $= l + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} 	imes h = 12 + \frac{17 - 9}{34 - 9 - 12} 	imes 4 = 14.46$ cm (Approx)

Question

Solution