The playing times of 20 songs on a top-hits radio station arerecorded in the cha

Question

The playing times of 20 songs on a top-hits radio station arerecorded in the chart below.
Playing Time (minutes:seconds)
3:32 3:24 2:54 3:07 4:52 3:45 2:39 3:09 3:34 3:26 3:35 4:17 4:03 3:52 5:10 4:59 3:07 4:00 3:07 2:56
What is the mean, median, and mode for this data? mean median mode a. 3:29 a. 3:55 a.3:07 b. 3:48    b. 3:33 b. 3:33 c. 3:67    c. 3:20 c. 3:40 d. 3:40    d. 3:07 d. None of theabove
Playing Time (minutes:seconds)
3:32 3:24 2:54 3:07 4:52 3:45 2:39 3:09 3:34 3:26 3:35 4:17 4:03 3:52 5:10 4:59 3:07 4:00 3:07 2:56
What is the mean, median, and mode for this data? mean median mode a. 3:29 a. 3:55 a.3:07 b. 3:48    b. 3:33 b. 3:33 c. 3:67    c. 3:20 c. 3:40 d. 3:40    d. 3:07 d. None of theabove Playing Time (minutes:seconds)
3:32 3:24 2:54 3:07 4:52 3:45 2:39 3:09 3:34 3:26 3:35 4:17 4:03 3:52 5:10 4:59 3:07 4:00 3:07 2:56
What is the mean, median, and mode for this data? mean median mode a. 3:29 a. 3:55 a.3:07 b. 3:48    b. 3:33 b. 3:33 c. 3:67    c. 3:20 c. 3:40 d. 3:40    d. 3:07 d. None of theabove

Explanation / Answer

To find the mean, add up all the times and divide by thenumber of values. It may be easier to convert to seconds,then convert back. (212+204+174+187+292+225+159+189+214+206+215+257+243+232+310+299+187+240+187+176)/20=220.4seconds, which is around 3:40. The median can be found by sorting them, then finding themiddle. 2:39, 2:54, 2:56, 3:07, 3:07, 3:07, 3:09, 3:24 3:26, 3:32,3:34, 3:35, 3:45, 3:52, 4:00, 4:03, 4:17, 4:52, 4:59, 5:10 In this case, there is an even number of values, so averagethe 2 in the middle: 3:32 and 3:34 the answer would be 3:33 The mode is the most common - 3:07

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