U2 is an Irish band that has been popular for over three decades. The lengths of 80 of their songs were selected at random and are listed in the table below. Lengths of Randomly Selected U2 Songs. ?

Question

(seconds) 382 222 214 338 310 559 334 225 177 189 278 300 295 254 331 194 225 294 245 292 262 219 384 336 312 281 308 285 227 258 331 418 195 338 255 225 43 331 179 230 215 252 272 228 281 274 229 178 173 319 267 280 66 186 341 204 253 317 303 337 308 240 252 349 347 94 144 187 272 208 279 276 264 270 286 205 350 444 294 260

a. Use 50-second intervals to make a frequency distribution table for the data.

c. Determine the mean, median, mode, range, and standard deviation for the song lengths. mean (s) median (s) mode (s) range (s) standard deviation (s)

d. Describe whether the data appears to be relatively normally distributed.

e. Assume the data is normally distributed and that the band’s entire collection of songs has a mean and standard deviation equal to those calculated above. What percentage of U2 songs are expected to be

i. over 180 seconds

ii. between 210 seconds and 300 seconds

f. Under what length of time are 90% of all U2 songs expected to be?

Answer 1

We do not do your homework for you. Although it might take more effort to do the work on your own, you will profit more from your effort. We will be happy to evaluate your work though.

However, I will start you out.

Find the mean first = sum of scores/number of scores

Subtract each of the scores from the mean and square each difference. Find the sum of these squares. Divide that by the number of scores to get variance.

Standard deviation = square root of variance

I'll let you do the calculations.

Answer 2

frequency distribution table foe the above date is as fellow
Song length
frequency
0 - 50
50- 100
100- 150
150- 200
200 - 250
250 - 300
300 - 350
350 - 400
400- 450
450 - 500
500- 550
550 - 600...