Question
In usual notations find combined standard deviation from the following informations:
$n_{1}=10, \bar{x}_{1}=16, S_{1}=2 ; n_{2}=60, \bar{x}_{2}=$
$22, s_{2}=2.5$
$n_{1}=10, \bar{x}_{1}=16, S_{1}=2 ; n_{2}=60, \bar{x}_{2}=$
$22, s_{2}=2.5$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

| Particulars | Mobile $A$ | Mobile $B$ |
| Raw material | $5000$ | $6000$ |
| Assembly expense | $3000$ | $3000$ |
| Other expense | $4000$ | $4500$ |
| Total expense | $12000$ | $13500$ |
| Selling price | $13000$ | $15000$ |
| No. of typing errors | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ |
| No. of pages | $10$ | $15$ | $23$ | $9$ | $23$ | $12$ | $8$ |
| Marks | $10$ | $20$ | $30$ | $40$ | $20$ | $60$ |
| No. of students | $4$ | $7$ | $15$ | $8$ | $7$ | $2$ |