Listed below are the playing times in seconds of songs that

Listed below are the playing times (in seconds) of songs that were popular at the time of this writing. Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. Is there one time that is very different from the others? The mean is seconds. The median is seconds Select the correct choice below and fill in any answer boxes in your choice. The mode is seconds. There is no mode. The midrange is seconds.

Solution

A)

Getting the mean, X,          
          
X = Sum(x) / n          
Summing the items, Sum(x) =    4156      
As n =    16      
Thus,          
X =    259.75       [ANSWER]

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b)

Ordering the data,

213
213
227
230
239
242
243
243
246
252
257
258
262
280
298
453

Thus, the median is the mean of the 8th and 9th entries,

median = (243 + 246)/2 = 244.5 [ANSWER]

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c)

The modes are 213 and 243. [ANSWER]

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d)

Midrange = (Max + Min)/2 = (213 + 453)/2 = 333 [ANSWER]

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e)

OPTION A: Yes, 453 is very different. [ANSWER]