Elementary Statistics

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QUANTITATIVE METHODS - STATISTICS

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(SUBJECT CODE: STA1114)
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Instructions to Students:

1. Assignment questions consist of:
* Question One - 25%
* Question Two - 25%

2. Assignment question must be combined into ONE (1) booklet, attached with “Assignment Submission Form” as the front cover, enclosed with the “Marking Criteria.” typed with double spacing using Times New Roman font type (Size 12). Submitted booklet must be stapled.

3. Students are to submit their assignment booklet ON or BEFORE 8.00pm, 9th NOVEMBER (WEDNESDAY).

All assignments are to be submitted to CCE (Centre for Continuing Education). NO EXTENSION WILL BE GRANTED. Any assignments submitted after the dateline will be penalized 5 marks per day.

4. Group discussions are encouraged but answers must not give the Examiners reasons to believe that copying of each other’s works has occurred. Copying is a serious offence and could result in a FAIL grade. Originality will be one of the key factors in the awarding of points and grades. -------------------------------------------------

Question One [25 Marks]
Answer the questions based on the data below.

PRODUCTIVITY BONUS PAYMENT
The production of each manufacturing department of your company is monitored weekly to establish productivity bonuses paid to the members of that department. At least 380 items have to be produced each week before a bonus will be paid. The production in one department over a forty week period is shown below:-

382| 364| 454| 398| 355|
354| 359| 371| 457| 371|
361| 382| 357| 372| 437|
469| 459| 396| 364| 445|
367| 365| 460| 365| 347|
359| 360| 370| 406| 364|
380| 394| 362| 451| 446|

1. Data Presentation
a. Use Microsoft Excel to complete the table below:
Production| Midpoint| Frequency| CumulativeFrequency|
347-357| | | |
358-368| | | |
369-389| | | |
390-401| | | |
402-412| | | |
413-423| | | |
424-434| | | |
435-445| | | |
446-456| | | |
457-467| | | |
468-478| | | |
479-489| | | |

b. Use the table above to form a histogram, frequency polygon, and cumulative frequency polygon. (Marks will be awarded based on excel spreadsheet codes)

c. What information can be gathered more easily by looking at the following graphs (rather than the listing of home prices)? i. Histogram
ii. Frequency Polygon
iii. Ogive

d. In your opinion, which graph best displays the data above? Why?

e. Is the distribution skewed? If it is, describe its shape.

Question Two [25 Marks]
Answer the questions based on the frequency table and charts.

2. Data Description
a. Say you are deciding on awarding bonuses. Compute mean, median and mode, and decide which one would best support your decision to: i. Award the bonus.
ii. To not award the bonus.
Justify the decisions above.

b. Are there any extremely large or extremely small data values (outliers) compared to the other data values?

c. Are the measures mentioned in 2(a) parameters or statistics?

d. Which measure of central tendency can be misleading when a data set contains outliers?

1. Data Presentation| marks|
Production| Midpoint| Frequency| CumulativeFrequency|
347-357| 352| 4| 4|
358-368| 363| 11| 15|
369-389| 374| 4| 19|
390-401| 385| 3| 22|
402-412| 396| 3| 25|
413-423| 407| 1| 26|
424-434| 418| 0| 26|
435-445| 429| 0| 26|
446-456| 440| 2| 28|
457-467| 451| 3| 31|
468-478| 462| 3| 34|
478-488| 473| 1| 35|
| (4M)(2M)|
| (3M)|
| (3M)|
| (3M)|
a. Histogram|
A histogram of the data gives price ranges and...
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