CvLTAELG1AAv7GMjp8RSaPGsvS8 STA301 Assignment no 01 Spring 2013 idea Solution required |
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# Spring 2013 (Total Marks 15)

23:59 May 2nd , 2013

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:

1. 1.   Measurement scale
2. 2.   Stem and leaf
3. 3.   Manipulation of data
4. 4.   Measures of Central tendency

Assignment No: 1 (Lessons 1-9)

Question 1:                                                                                                              Marks: 4+3=7

1. Given the following frequency distribution:
 Class Limits Frequency 118 – 126 3 127 – 135 5 136 – 144 9 145 – 153 12 154 – 162 5

Construct the columns of Class Boundaries, Relative Frequency, Mid points and

Cumulative frequency.

1. The ages of 22 patients admitted to a certain hospital during a particular week were as

follows:

66, 73, 68, 54, 25, 38, 67, 69, 74, 53, 52, 72, 55, 75, 37, 24, 13, 12, 11, 26, 39, 23

Construct a Stem and Leaf display for the above data.

Question 2:                                                                                                              Marks: 6+2=8

1. Ten students (graduates and undergraduates) are enrolled in the course on statistics. Their weights are given below:

52, 63, 73, 58, 88, 72, 60, 76, 69, 74

Calculate Arithmetic mean, Geometric mean and Harmonic mean for the above data.

b.    Which scale of measurement is more suitable in the following examples?

• Religion can be categorized as Jewish, Muslim, Christian, Buddhist and “Other”.
• A teacher ranks the students according to their oral language skills.
• The number of minutes of overtime work that employees perform.
• The number of questions asked by a customer during a simulated encounter with a salesperson.

# Idea Solution

1. Given the following frequency distribution:
 Class Limits Frequency Class Boundaries Relative Frequency Mid-Point 118 – 126 3 117.5 – 126.5 0.088 122 127 – 135 5 126.5 – 135.5 0.147 131 136 – 144 9 135.5 – 144.5 0.264 140 145 – 153 12 144.5 – 153.5 0.353 149 154 – 162 5 153.5 – 162.5 0.147 158 Total = 34

Comulative Frequency is:-

3, 8, 17, 29 and 34 respectively………

1. The ages of 22 patients admitted to a certain hospital during a particular week were as

follows:

66, 73, 68, 54, 25, 38, 67, 69, 74, 53, 52, 72, 55, 75, 37, 24, 13, 12, 11, 26, 39, 23

Construct a Stem and Leaf display for the above data.

 Stem Leaf 1 1, 2, 3 2 3, 4, 5, 6 3 7, 8, 9 5 2, 3, 4, 5 6 6, 7, 8, 9 7 2, 3, 4, 5

Question 2:                                                                                                              Marks: 6+2=8

1. Ten students (graduates and undergraduates) are enrolled in the course on statistics. Their weights are given below:

52, 63, 73, 58, 88, 72, 60, 76, 69, 74

Calculate Arithmetic mean, Geometric mean and Harmonic mean for the above data.

Arithmetic mean

Geometric mean

Harmonic mean

b.    Which scale of measurement is more suitable in the following examples?

• Religion can be categorized as Jewish, Muslim, Christian, Buddhist and “Other”.