Assignment No.1 (Course STA301) Spring 2013 (Total Marks 15)

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Deadline

Your Assignment must be uploaded/ submitted before or on

23:59 May 2^nd , 2013

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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.

2. 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.

  

[+M.Tariq Malik]

samra tariq thanks for sharing ur idea 

[+M.Tariq Malik]

STA301 Assignment 1 Solution - Spring 2013

See the attached file please

[Muhammad Usman]

i could not understand the relative frequency and stem and leaf and the 2nd questions b part can you please explain??

[+M.Tariq Malik]

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[+M.Tariq Malik]

Please Discuss here about this assignment.Thanks

Our main purpose here discussion not just Solution

We are here with you hands in hands to facilitate your learning and do not appreciate the idea of copying or replicating solutions.

[+M.Tariq Malik]

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

[samra tariq]

Q1:(a)

CLASS BOUNDARIES:

• 117.5-126.5
• 126.5-135.5
• 135.5-144.5
• 144.5-153.5
• 153.5-162.5

MID-POINTS: (calculated by averaging the class limits)

• 122
• 131
• 140
• 149
• 158

RELATIVE FREQUENCY:

• 0.088
• 0.147
• 0.264
• 0.353
• 0.147

CUMULATIVE FREQUENCY:

• 3
• 8
• 17
• 29
• 34

(b):

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

Q2:(a)

arithmetic mean: 68.5

geometric mean: 67.7

harmonic mean: 67.7

(b):

1. nominal
2. ordinal or ranking
3. interval
4. interval (please discuss this)

Are these the correct answers...? please correct me, if i'm wrong...

Thanks...

Q1:(a)

CLASS BOUNDARIES:

• 117.5-126.5
• 126.5-135.5
• 135.5-144.5
• 144.5-153.5
• 153.5-162.5

MID-POINTS: (calculated by averaging the class limits)

• 122
• 131
• 140
• 149
• 158

RELATIVE FREQUENCY:

• 0.088
• 0.147
• 0.264
• 0.353
• 0.147

CUMULATIVE FREQUENCY:

• 3
• 8
• 17
• 29
• 34

(b):

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

Q2:(a)

arithmetic mean: 68.5

geometric mean: 67.7

harmonic mean: 67.7

(b):

1. nominal
2. ordinal or ranking
3. interval
4. interval (please discuss this)

Are these the correct answers...? please correct me, if i'm wrong...

Thanks...

[+ CJ]

Yes all the answers are same as mine its correct

[mano(mcs)]

samra tariq my Harmonic mean =67.0691

[samra tariq]

Relative frequency can be calculated by dividing frequency of each class by the total frequency...

In this question:

3/34= 0.088

5/34= 0.147

9/34= 0.264

12/34= 0.353

5/34= 0.147

• stem and leaf display: lecture 6 pg no. 42...
• q2(part b): for its idea please refer to lec. 1 pg 4

Thanks...

[Muhammad Usman]

thanks samra tariq for your guide and help

[mobeen hasan]

thanks