Assignment No.1 (Course STA301)

Fall 2012 (Total Marks 15)

Deadline

Your Assignment must be uploaded/ submitted before or on

23:59 7thNovember, 2012

STUDENTS ARE STRICTLY 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 students concepts regarding measurement scale and manipulation of data.
  • This assignment will strengthen the basic idea about the concept of measure of central tendency.

Assignment No: 1 (Lessons 1-9)

Question 1: Marks: 5+2=7

a) Following are the heights (in centimeters) of 45 female high school students. Prepare a frequency distribution of the data where the class width is 5, the number of classes is 6 and the smallest observation is 148. Also obtain the relative frequency and relative cumulative frequency.

170, 151, 154, 160, 158, 154, 171, 156, 160, 157, 160, 157, 148, 165, 158, 159, 155, 151, 152, 161, 156, 164, 156, 163, 174, 153, 170, 149, 166, 154, 166, 160, 160, 161, 154, 163, 164, 160, 148, 162, 167, 165, 158, 158, 176.

b)Which level of measurement (scale of measurement) is suitable for the following data in each example?

i) The lake Saif-ul-Muluk is 10,578 feet above from the sea level.

ii)If customers go to the shop for buying shoes and try different size of shoes. The sizes of shoes are 7B, 10D and 12E.

iii) The numbering on T-shirts of players in the cricket team.

iv)The weight of the person is 68 kg.

Question 2: Marks:5+3=8

a)Find the median, harmonic mean and 23rd percentile for the following frequency distribution.

Class Boundaries / Frequency
145 – 150 / 4
150 – 155 / 6
155 – 160 / 28
160 – 165 / 58
165 – 170 / 64
170 – 175 / 30

b)Explain the concept of Geometric mean? Also find the geometric mean for the following data.

18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21,22, 23, 24, 27, 30, 36

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