Question:
GDP data for some countries across 3 consecutive years are recorded in the following table:
Country
|
GDP (Sb)
|
2014
|
2015
|
2016
|
China
|
834
|
935
|
1035
|
U.S.
|
582
|
732
|
895
|
Russia
|
495
|
631
|
788
|
Japan
|
486
|
621
|
799
|
Germany
|
339
|
456
|
552
|
Canada
|
201
|
335
|
453
|
Australia
|
304
|
444
|
565
|
Turkey
|
703
|
819
|
919
|
- Conduct appropriate calculations to show in a tabular format:
- Proportion of change from 2014 to 2015 and 2015 to 2016
- Share of GDP for the countries across three years
(ii) Use appropriate graphs to depict:
- Volume of GDP for the countries across three years;
- Share of GDP for the countries across three years;
- c) Proportion of change (from 2014 to 2015) and comment on this.
In a computer assembly line, workers take different time to assemble the parts. The amount of time needed (in seconds) for the assembly was recorded for 100 workers.
360
|
378
|
78
|
104
|
125
|
216
|
299
|
119
|
154
|
174
|
317
|
244
|
313
|
452
|
210
|
196
|
210
|
388
|
225
|
422
|
468
|
456
|
160
|
171
|
175
|
320
|
235
|
310
|
106
|
222
|
200
|
109
|
281
|
195
|
160
|
213
|
260
|
280
|
242
|
222
|
140
|
101
|
272
|
121
|
223
|
290
|
246
|
213
|
236
|
234
|
195
|
262
|
110
|
211
|
255
|
220
|
310
|
119
|
155
|
95
|
255
|
360
|
222
|
435
|
145
|
289
|
194
|
110
|
124
|
433
|
194
|
237
|
210
|
123
|
210
|
374
|
203
|
380
|
123
|
349
|
382
|
240
|
105
|
135
|
220
|
185
|
275
|
103
|
315
|
111
|
219
|
455
|
280
|
167
|
455
|
215
|
291
|
188
|
223
|
224
|
- Determine the approximate number of classes and the class width (round-up the width if necessary) you would use to represent the above data Explain your reasons.
- Create a frequency distribution of time for 100 workers
- Draw a frequency histogram
- Calculate the relative frequency and draw relevant histogram
- Draw an Ogive
- Find the proportion of time taken for assembly between 100-150 seconds; 200-250 seconds. Explain your answer fully.
Answer:
Time (in seconds) |
Time (in seconds) |
Time (in seconds) |
317 |
101 |
Standard Error |
196 |
103 |
Median |
468 |
104 |
Mode |
320 |
105 |
Standard Deviation |
200 |
106 |
Sample Variance |
213 |
109 |
Kurtosis |
140 |
110 |
Skewness |
290 |
110 |
Range |
195 |
111 |
Minimum |
220 |
119 |
Maximum |
255 |
119 |
Sum |
289 |
121 |
Count |
374 |
123 |
Number of bins |
382 |
124 |
Class interval width |
Tme in seconds |
Frequency |
Cumulative % |
75-<125 |
17 |
17.00% |
125-<175 |
11 |
28.00% |
175-<225 |
28 |
56.00% |
225-<275 |
14 |
70.00% |
275-<325 |
14 |
84.00% |
325-<375 |
4 |
88.00% |
375-<425 |
5 |
93.00% |
425-<475 |
7 |
100.00% |