Question

Question is shown below.

Answer 1

D. 4 minutes 40 seconds

Step-by-step 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.

`(283 + 204 + 198 + 229 + 173 + 230 + 168 + 236 + 215 + 204 + x)/(11) = 220`

`(2140 + x)/(11) = 220`

`2140 + x = 2420`

`x = 2420 - 2140`

`x = 280`

We convert 280 seconds to minutes.

`(280)/(60) = 4 (2)/(3) = 4mins : 40 sec`

The correct choice is D