Listed below are the playing times (in seconds) of songs that were popular at th

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? 447 242 227 245 245 288 283 228 241 208 262 237 208 256 260 257 a. The mean isseconds 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. O A. The mode is seconds. (Use a comma to separate answers as needed. Round to one decimal place as needed.) O 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? O A. O B. ° C. O D. Yes; the time of 447 seconds is very different from the others. Yes, the time of 288 seconds is very different from the others. No: all the times are not very different from each other Yes, the time of 208 seconds is very different from the others.

Explanation / Answer

The given values are:

447 242 227 245 245 288 283 228 241 208 262 237 208 256 260 257

Sorting the values we have

208 208 227 228 237 241 242 245 245 256 257 260 262 283 288 447

There are 16 values in all.

a. The mean is (208 + 208 + 227 + 228 + 237 + 241 + 242 + 245 + 245 + 256 + 257 + 260 + 262 + 283 + 288 + 447) / 16 = 258.375.

b. The median is the mean of the 8th and 9th data

= (245 + 245) / 2

= 245.

c. Mode is (are) the most repeating value(s) i.e 208, 245.

d. Lowest value = 208

Highest value = 447

The midrange is (208 + 447) / 2

= 327.5.

Yes, the time of 447 seconds is very different from others.

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