The following data in Table Q6(b) are the numbers of cycles to failure of (b) aluminum test coupons subjected to repeated alternating stress at 10,000 psi, 10 cycles per second. Table Q6(b): Number of cycles to failure of aluminum test 254 | 237 | 243 114 224 | 373 308 | 210 266 | 253 | 201 286 329 | 236 | 284 | 247| 273 373 266 239 160 | 360 361 416| 207 189 344 268 300 207 | 314 198 243 326 251 311 215 363 21 270 | 165 | 240 48 150 197 | 209 | 210 | 260 | 327 406 (i) Find the value of mean, standard deviation and variance. (ii) Based on the data in Table Q6(b), construct a histogram using 12 classes. (iii) Decsribe the shape of the histogram.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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(b)
The following data in Table Q6(b) are the numbers of cycles to failure of
aluminum test coupons subjected to repeated alternating stress at 10,000
psi, 10 cycles per second.
Table Q6(b): Number of cycles to failure of aluminum test
373 254 237 243 | 308 | 210
239 114 224 373 286
198 361 416 207
189 344 268
150 | 300 207 314 197
253 201 266
284 247 273
160 | 360 | 311
165 | 240
260 327 406
266
329
236
243
326
251
215
363
21
270
48
209
210
(i)
Find the value of mean, standard deviation and variance.
(ii) Based on the data in Table Q6(b), construct a histogram using 12
classes.
(iii) Decsribe the shape of the histogram.
Transcribed Image Text:(b) The following data in Table Q6(b) are the numbers of cycles to failure of aluminum test coupons subjected to repeated alternating stress at 10,000 psi, 10 cycles per second. Table Q6(b): Number of cycles to failure of aluminum test 373 254 237 243 | 308 | 210 239 114 224 373 286 198 361 416 207 189 344 268 150 | 300 207 314 197 253 201 266 284 247 273 160 | 360 | 311 165 | 240 260 327 406 266 329 236 243 326 251 215 363 21 270 48 209 210 (i) Find the value of mean, standard deviation and variance. (ii) Based on the data in Table Q6(b), construct a histogram using 12 classes. (iii) Decsribe the shape of the histogram.
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