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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.

  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.

  

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Replies to This Discussion

mobeen hasan Welcome 

How to Calculate the Arithmetic Mean


A mathematical concept that usually is taught in elementary school, the arithmetic mean gives an average measurement for a given set of numbers. Being able to find a mean is very useful in everyday activities, such as figuring grades, setting a budget, calculating a business' financial output or determining an athlete's performance statistics.


Instructions
1
Write down the numbers for which you want to determine a mean. For instance, you might make a list of your electric bills for the past six months.

2
Add the numbers in the set that you wrote down in step one. For instance, you might add the following monetary values representing your electric bills:

120 + 150 + 135 + 100 + 90 + 125 = 720

3
Divide your answer from step two by the number of values in your set. Since you had six values in this set, you would perform the following equation to find the mean:

720 / 6 = 120.

Therefore, your average monthly electric bill would be 120 dollars.

See this example to find geometric mean

Harmonic Mean

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

Total Numbers: 22

Harmonic Mean: 32.24555

Q2

ANS:(b)

Nominal

Ordinal

Ratio

Ratio

may b wrong....

everyone, i m writting my answers here plz evaluate and discuss thx

Class boundries


117.5 - 126.5

----------

----------

153.5 - 162.5

Relative Frequency


0.088

----

---

0.147

Mid Pts

122

---

---

158

Q.2

Arithmetic Mean = 68.5

Geometric Mean = 67.78 and 

Harmonic Mean = 67.02

Waiting for your reply please.

Geometric Mean :
Geometric Mean = ((X1)(X2)(X3)........(XN))1/N
where
              X = Individual score
              N = Sample size (Number of scores)



Geometric Mean Example: To find the Geometric Mean of 1,2,3,4,5.

  Step 1: N = 5, the total number of values. Find 1/N.
            1/N = 0.2

  Step 2:Now find Geometric Mean using the formula.
            ((1)(2)(3)(4)(5))0.2 = (120)0.2
            So, Geometric Mean = 2.60517

This example will guide you to calculate the geometric mean manually.

Harmonic Mean Formula :
Harmonic Mean = N/(1/a1+1/a2+1/a3+1/a4+.......+1/aN)
where
              X = Individual score
              N = Sample size (Number of scores)



Harmonic Mean Example: To find the Harmonic Mean of 1,2,3,4,5.

  Step 1: Calculate the total number of values.
            N = 5

  Step 2: Now find Harmonic Mean using the above formula.
            N/(1/a1+1/a2+1/a3+1/a4+.......+1/aN)
            = 5/(1/1+1/2+1/3+1/4+1/5)
            = 5/(1+0.5+0.33+0.25+0.2)
            = 5/2.28
            So, Harmonic Mean = 2.19

This example will guide you to calculate the harmonic mean manually.

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

CLASS BOUNDARIES:

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

RELATIVE FREQUENCY:

    0.088
    0.147
    0.264
    0.353
    0.147

MID-POINTS: 

    122
    131
    140
    149
    158

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