Frequency f Compare the mean of the raw data with the mean f

Frequency, f

Compare the mean of the raw data with the mean from the grouped frequency distribution. Are they different? Why might they be different?

261	275	236	244	278	296	284	298	289	289	250	256
338	360	341	333	261	268	287	296	313	311	309	309
299	303	277	283	304	305	286	290	286	287	297	299
332	330	309	326	309	326	285	291	295	298	306	315
310	318	318	320	333	321	323	324	327	302	319

Class

Frequency, f

Class Boundaries

Class Midpoint, X

236-260

235.5-260.5

248

992

261-285

260.5-285.5

273

2457

286-310

285.5-310.5

298

7748

311-335

310.5-335.5

323

5491

336-360

335.5-360.5

348

1044

mean= (992+2457+7748+5491+1044)/(4+9+26+17+3) = 300.5424

Yes, they are different.

They might be different because the mean of the raw data is calculated directly from raw data, but the mean from the grouped frequency distribution is calculated by the grouped data.

Frequency, f Compare the mean of the raw data with the mean from the grouped frequency distribution. Are they different? Why might they be different? 261 275 23

Frequency f Compare the mean of the raw data with the mean f

Solution

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