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Sqqs1013 Elementary Statistics SECOND SEMESTER SESSION 2014/2015 (A142) Group Assignment 1

The document is a group assignment for an elementary statistics course. It contains instructions for students to plan a descriptive statistical study by choosing a subject of interest and identifying at least four variables to analyze. The group chose to study the relationship between breakfast consumption and student mark scales in Nationhood Studies. They collected data on 30 student mark scales, which were symmetrically distributed with most values between 60-69 and no outliers. Calculations of mean, median and mode were around 69, indicating average student marks.

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Ameer Al-asyraf Muhamad
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641 views7 pages

Sqqs1013 Elementary Statistics SECOND SEMESTER SESSION 2014/2015 (A142) Group Assignment 1

The document is a group assignment for an elementary statistics course. It contains instructions for students to plan a descriptive statistical study by choosing a subject of interest and identifying at least four variables to analyze. The group chose to study the relationship between breakfast consumption and student mark scales in Nationhood Studies. They collected data on 30 student mark scales, which were symmetrically distributed with most values between 60-69 and no outliers. Calculations of mean, median and mode were around 69, indicating average student marks.

Uploaded by

Ameer Al-asyraf Muhamad
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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SQQS1013 ELEMENTARY STATISTICS

SECOND SEMESTER SESSION 2014/2015 (A142)

GROUP ASSIGNMENT 1

Submitted to:

YOUR LECTURERS NAME

Prepared by:

YOUR TEAM NO.


MATRIC. NO. NAME
1 231037 NORAININ SOFEA BINTI FAZIL
2 231016 NURUL AIN BINTI ARWIZAR
3 231541 MUHAMMAD NADIY BIN MAT NOH
4

Submitted date
5th APRIL 2015

SCHOOL OF QUANTITATIVE SCIENCES

UUM COLLEGE OF ARTS AND SCIENCES

UNIVERSITI UTARA MALAYSIA


Question 2.
a. In your team, plan a descriptive statistical study and choose the subject of interest. The
chosen subject and variables must not be similar to other teams.
Example
Subject: A sachet of 3 in 1 coffee
Variables: Weight (gram); Total fat (Kcal/100gm); Sugar (%); Brand (X)

(i) State the purpose and the subject of your study.


To study the relationship between breakfasts consumption with students mark scale of
Nationhood Studies.

(ii) Identify at least FOUR (4) variables of interest about the subject. For each variable, identify
the type and its level of measurement. The chosen variables shall include all FOUR (4) levels of
measurement (N, O, I, R).

Level of Data Variable Example


measurement

Nominal Qualitative Type of breakfast Apple

Muffin

Ordinal Qualitative Grade classification First class

Second class

Infernal Quantitative Temperature of Celsius


breakfast

Ratio Quantitative Mark scale 90 100


b. From part (a), choose a quantitative variable, and find at least 30 observations (regardless the
sampling method). Collect and record the data. The chosen variable must not be similar to other
teams.

(i) State your chosen variable and explain how you collected the data

Ratio: Mark scale of Nationhood Studies.


We collect the data by face to face.

(ii) Provide a complete listing of the collected data.

56 69 66 58 67

61 78 47 79 66

65 70 52 79 68

65 76 61 67 76

86 67 75 69 77

94 87 78 78 88
(iii) Draw a stem-and-leaf diagram or histogram or box-plot to present your data.

Student's Mark Scale


14

12

10

Student's Mark Scale


6

0
40 - 49 50 - 59 60 - 69 70 - 79 80 - 80 90 - 99

(iv) Refer to your answer in part (iii) and comment on the shape of the distribution. Is there any
extreme value (outlier) in your data?

Student's Mark Scale


14

12

10

Student's Mark Scale


6

0
40 - 49 50 - 59 60 - 69 70 - 79 80 - 80 90 - 99
It is show that shape of the distribution is symmetric this is because its right half is a mirror image
of its left half. Yes, the extreme value is 60 69.

(v)Calculate a suitable central tendency measure, justify why it is suitable and interpret the value.

No of classes (c) = 1 + 3.3 log 30

= 1 + 3.3 (1.4771)

= 1 + 4.8744

= 5.8744

=6

Class width (i) I > largest value smallest value

I > 99 40

I > 9.83

I = 10

Mean

= 2075

30

= 69.1667
Median :

= 59.5 + (15-4) 10
12
= 59.5 + 9.1667
= 68.667

Mode :

( 9 ) 10
= 59.5 + 9+2

= 59.5 + (3) 10

= 59.5 +30

= 89.5

(vi) Compute a measure of dispersion and interpret its value

Measure of dispersion

Range = upper limit of the last class - lower limit of the first class

99.5 39.5

= 60

(7.5 4) 10
Interquartile: Q1 = 59.5 + 12

= 62.417
( 22.5 16 ) 10
Q3 = 69.5 + 10

= 76

IQR = Q3 Q1

= 76 62.417

= 13.583

Variance:

= 1256006 - (2075/30)2

30 1

= 1256006 143520.833

29

= 38361.557

= 38361.557

S = 195.861

(vii) Write at least TWO (2) sentences to summarize the findings from your study.

It shows that whether students have taking the breakfast or not the result of the Nationhood Studies
by students are average. It means that breakfast has no effect on the mark scale.

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