Assignment

Assignment

Assignment

Question No. 1

A person's socio economic status can be classified as A, B, C1, C2, D or E in decreasing order. A random sample of 60 individuals gave the following information on weekly earning (£) in relation to socio economic class:

The data set comprises of 60 individuals who have been classified according to their socio economic status and weekly earnings (£). Socio economic status are further divided into six (6) categories in decreasing order (A, B, C1, C2, D and E), weekly earnings and status of an individual are somehow inter related but for some individuals it has been observed that in spite of having high weekly earnings they belong to a low socio economic status. This could be due to several reasons as status of an individual can be affected by many means. The maximum weekly earnings of an individual was found to be 285 (£) whereas the minimum was 215 (£).

S. No.

Weekly Earning (£)

Status

1

245

B

2

232

C2

3

249

D

4

249

C2

5

224

C1

6

226

D

7

243

C1

8

217

C2

9

266

C1

10

252

C2

11

279

B

12

215

E

13

220

E

14

222

C2

15

228

C1

16

264

B

17

248

C2

18

237

C2

19

237

C2

20

217

C2

21

274

C1

22

237

C2

23

223

E

24

218

E

25

216

D

26

264

C1

27

260

C2

28

233

D

29

223

D

30

285

A

31

267

B

32

219

D

33

217

E

34

226

D

35

224

D

36

240

C2

37

261

C2

38

262

C1

39

274

B

40

229

C2

41

227

C2

42

218

C1

43

219

E

44

223

D

45

237

C2

46

242

C1

47

231

D

48

265

C1

49

218

E

50

233

D

51

250

C2

52

221

E

53

226

E

54

242

C2

55

222

D

56

250

C2

57

255

C1

58

240

C2

59

244

C1

60

217

E

Average Weekly Earning

238.36667

The average weekly earnings of an individual was found to be as 238.366 (£), while 20 of the total individuals belong to low socio economic status of C2.

Status

Frequency

A

1

B

5

C1

12

C2

20

D

12

E

10

Total

60

The above table shows the frequency distribution of socio economic status of the individuals. Only one individual belongs to the socio economic status of A, 5 and so on. Although it is a common perception that socio economic status is directly proportional to the earning of an individual, this is not the case in this data set because the factors that affect the status of an individual are not considered.

Compile a frequency distribution of earnings with intervals of a suitable width.

Data has been compiled in the below mentioned class intervals according to the weekly earnings of the individuals. Each individual has been allocated in the particular class interval to which they belong, let's discuss the first individual. The first individual has weekly earnings of 245 (£) with the socio economic status of B, he has been assigned to the 4th class of the class interval i.e. 239 - 250.

S. No.

weekly Earnings (£)

Status

Class

Class Intervals

1

245

B

4

239 - 250

2

232

C

3

228 - 238

3

249

D

4

239 - 250

4

249

C

4

239 - 250

5

224

C

2

216 - 227

6

226

D

2

216 - 227

7

243

C

4

239 - 250

8

217

C

2

216 - 227

9

266

C

6

263 - 273

10

252

C

5

251 - 262

11

279

B

7

274+

12

215

E

1

<=215

13

220

E

2

216 - 227

14

222

C

2

216 - 227

15

228

C

3

228 - 238

16

264

B

6

263 - 273

17

248

C

4

239 - 250

18

237

C

3

228 - 238

19

237

C

3

228 - 238

20

217

C

2

216 - 227

21

274

C

7

274+

22

237

C

3

228 - 238

23

223

E

2

216 - 227

24

218

E

2

216 - 227

25

216

D

2

216 - 227

26

264

C

6

263 - 273

27

260

C

5

251 - 262

28

233

D

3

228 - 238

29

223

D

2

216 - 227

30

285

A

7

274+

31

267

B

6

263 - 273

32

219

D

2

216 - 227

33

217

E

2

216 - 227

34

226

D

2

216 - 227

35

224

D

2

216 - 227

36

240

C

4

239 - 250

37

261

C

5

251 - 262

38

262

C

6

263 - 273

39

274

B

7

274+

40

229

C

3

228 - 238

41

227

C

3

228 - 238

42

218

C

2

216 - 227

43

219

E

2

216 - 227

44

223

D

2

216 - 227

45

237

C

3

228 - 238

46

242

C

4

239 - 250

47

231

D

3

228 - 238

48

265

C

6

263 - 273

49

218

E

2

216 - 227

50

233

D

3

228 - 238

51

250

C

4

239 - 250

52

221

E

2

216 - 227

53

226

E

2

216 - 227

54

242

C

4

239 - 250

55

222

D

2

216 - 227

56

250

C

4

239 - 250

57

255

C

5

251 - 262

58

240

C

4

239 - 250

59

244

C

4

239 - 250

60

217

E

2

216 - 227

By considering earnings to fall into one of three groups of less 225 (£), 225 £ - 245 £ and more than 245 £, compile a two way table showing the frequencies in each earnings group/socio economic class combination.

Group

E

D

C2

C1

B

A

Less than 225 £

9

6

3

2

0

0

225 £- 245 £

1

5

10

4

1

0

More than 245 £

0

1

7

6

4

1

Describe ...