Listed below are the playing times (in seconds) of songs that were popular at th
ID: 3130188 • Letter: L
Question
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?
446
238
235
241
241
297
282
232
240
210
259
237
210
260
254
257
a. The mean is_____seconds.
(Round to one decimal place as needed.)
b. The median is _____seconds.
(Round to one decimal place as needed.)
c. Select the correct choice below and fill in any answer boxes in your choice.
A. The mode is_____seconds. (Use a comma to separate answers as needed. Round to one decimal place as needed.)
B. There is no mode.
d. The midrange is_____seconds.
(Round to one decimal place as needed.)
Is there one time that is very different from the others?
A. Yes; the time of 446 seconds is very different from the others.
B.Yes; the time of 297 seconds is very different from the others.
C.No; all the times are not very different from each other.
D.Yes; the time of 210 seconds is very different from the others.
Explanation / Answer
Ordering the data,
210
210
232
235
237
238
240
241
241
254
257
259
260
282
297
446
a)
Mean = Sum(x)/n = 4139/16 = 258.6875 [ANSWER]
*****************
b)
The median is the average of the two middle terms, the 8th and 9th,
Median = (241+241)/2 = 241 [ANSWER]
********************
c)
The mode is the most frequent observation, which occurred twice here,
mode = 241 [ANSWER]
********************
d)
Midrange = (max+min)/2 = (210+446)/2 = 328 [ANSWER]
**********************
E)
As we can see, 446 is very different from the others, so
A. Yes; the time of 446 seconds is very different from the others. [ANSWER]
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