In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
bowling score = 206
games = 24
Step 01:
mean:
original bowling score:
[tex]mean\text{ = }\frac{sum\text{ }of\text{ }all\text{ }games}{#games}[/tex][tex]206=\frac{sum\text{ }of\text{ }all\text{ }games}{24}[/tex]sum of all games = 206 * 24 = 4944
new bowling score:
games = 25
final score = 257
[tex]mean\text{ =}\frac{4944+257}{25}=208.04[/tex]The answer is:
208.0