ANSWER
D. 4 minutes 40 seconds
EXPLANATION
The given data set showing the number of seconds of each song the playlist is:
283,204,198,229,173,230,168,236,215,204
Let the length of the 11th song be x.
Because he wants the mean to be 3 minutes 40 seconds, which is equal to 220 seconds, we write and solve the following equation for x.
[tex] \frac{283 + 204 + 198 + 229 + 173 + 230 + 168 + 236 + 215 + 204 + x}{11} = 220[/tex]
[tex] \frac{2140 + x}{11} = 220[/tex]
[tex]2140 + x = 2420[/tex]
[tex]x = 2420 - 2140[/tex]
[tex]x = 280[/tex]
We convert 280 seconds to minutes.
[tex] \frac{280}{60} = 4 \frac{2}{3} = 4mins : 40 sec[/tex]
The correct choice is D
