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Assignment No.2 (Course STA301) Fall 2009 (Total Marks 30)

Deadline

Your Assignment must be uploaded/ submitted before or on

23:59 November 11, 2009

(STUDENTS ARE STRICLY DIRECTED TO SUBMIT THEIR ASSIGNMENT BEFORE OR BY DUE DATE. NO ASSIGNMNENT AFTER DUE DATE WILL BE ACCEPTED VIA E.MAIL).

Rules for Marking

It should be clear that your Assignment will not get any credit IF:

  • The Assignment submitted, via email, after due date.
  • The submitted Assignment is not found as MS Word document file.
  • There will be unnecessary, extra or irrelevant material.
  • The Statistical notations/symbols are not well-written i.e., without using MathType software.
  • The Assignment will be copied from handouts, internet or from any other student’s file. Copied material (from handouts, any book or by any website) will be awarded ZERO MARKS. It is PLAGIARISM and an Academic Crime.
  • The medium of the course is English. Assignment in Urdu or Roman languages will not be accepted.
  • Assignment means Comprehensive yet precise accurate details about the given topic quoting different sources (books/articles/websites etc.). Do not rely only on handouts. You can take data/information from different authentic sources (like books, magazines, website etc) BUT express/organize all the collected material in YOUR OWN WORDS. Only then you will get good marks.

Objective(s) of this Assignment:

  • The assignment is being uploaded to build up the concepts about of measure of central tendency and measure of dispersion.

  • Applying and verifying the empirical rule and Chebychev’s inequality for the given data.

  • How to give the meaning/interpretation the obtained result from calculations.

  • How to compute moments from the given data.

Assignment # 2 (Lessons 9-14)

Question 1: (Marks: 5+10=15)

a) Compute the mean deviation from the following data.

Groups

30-34

35-39

40-44

45-49

50-54

Frequency

10

15

5

11

9

b) The mean of 5 observations is 15 and variance is 9. If two more observations having values -3 and 10 are combined with these 5 observations, what will be the new mean and variance of 7 observations?

Question 2: (Marks: 5+10=15)

a) Mean and the standard deviation of a set of values is 100 and 5. Compute mean ±2S.D and mean ±3S.D. Also interpret the results in the light of (i) empirical rule (ii) Chebychev’s inequality.

b) Find the first four moments about X= 174.5 as well as about mean for the following frequency distribution.

Weights (pounds)

Frequency

110-119

1

120-129

4

130-139

17

140-149

28

150-159

25

160-169

18

170-179

13

180-189

6

190-199

5

200-209

2

210-219

1

Total

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