Find the mean of the following frequency distribution:

| Class | $1$-$5$ | $5$-$9$ | $9$-$13$ | $13$-$17$ |
|-------|---------|---------|----------|-----------|
| Frequency | $4$ | $8$ | $7$ | $6$ |

Question

Find the mean of the following frequency distribution:

| Class | $1$-$5$ | $5$-$9$ | $9$-$13$ | $13$-$17$ |
|-------|---------|---------|----------|-----------|
| Frequency | $4$ | $8$ | $7$ | $6$ |

Accepted Answer

Step 1: | Class | $x_i$ | Frequency $f_i$ | $x_i f_i$ |
|-------|-------|-----------------|----------|
| $1$-$5$ | $3$ | $4$ | $12$ |
| $5$-$9$ | $7$ | $8$ | $56$ |
| $9$-$13$ | $11$ | $7$ | $77$ |
| $13$-$17$ | $15$ | $6$ | $90$ |
| | | $\Sigma f_i = 25$ | $\Sigma x_i f_i = 235$ |
Step 2: $	herefore$ Mean $\bar{x} = \frac{\Sigma x_i f_i}{\Sigma f_i} = \frac{235}{25} = 9.4$

Question

Solution