Exam (elaborations)
STA1610 EXAM PACK 2025 {DETAILED QUESTIONS AND ANSWERS }
- Course
- Introduction to Statistics
- Institution
- University Of South Africa
STA1610 EXAM PACK 2025 {DETAILED QUESTIONS AND ANSWERS }
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STA1610/201/1/2018,Question 1
The data that is grouped by specific categories are qualitative – ordinal variable.
Option (4)
Question 2
Whether you own or lease a luxury vehicle is nominal variable.
Option (3)
Question 3
Option (3)
Question 4
Option (2)
Question 5
Option (5)
Question 6
The volume of fuel is a continuous variable.
Option (2)
Question 7
1. Incorrect: To display the relationship between two numeric variables, we use scatter plot.
2. Incorrect: Outliers represent extreme data values.
3. Correct.
4. Incorrect: The horizontal axis is the independent variable.
5. Incorrect: The vertical axis is the dependent variable.
Option (3)
Question 8
2
, STA1610/201/1/2018
Option (4)
Question 9
Data arranged 12 23 24 27 34 38 40 40 42
Location 1 2 2:5 3 4 5 6 7 7:5 8 9
attributed
Quartile Q1 Q2 Q3
ND9
N 1 9
The position of Q1 D 4C D C4 1 D 104 D 2:5
23 C 24 D 23:5
The corresponding value of Q1 D 2
NC1 D 2.2:5/ D 5
The position of Q2 D 2 4
The corresponding value of Q2 D 34
NC1 D 3.2:5/ D 7:5
The position of Q3 D 3 4
40
The corresponding value of Q3 D 40 C2 D D 40
) The interquartile range: Q3 Q1 D 40 23:5 D 16:5
Option (2)
Question 10
Option (1)
Question 11
1. Incorrect
High concentration implies greater reliability
2. Incorrect
3
, A low concentration implies low reliability
3. Correct.
4. Incorrect
Range D The highest The lowest data values
5. Incorrect
: represent the population standard deviation
Option (3)
Question 12
2 1P 2 1 "P 2 Px 2#
The variance s D n 1 .xi Nx/ or n 1 X n
No Xi Xi XN .Xi 46:1/2
1 51 51 46:1 D 4:9 24:01
2 47 47 46:1 D 0:9 0:81
3 40 40 46:1 D 6:1 37:21
4 37 37 46:1 D 9:1 82:81
5 43 43 46:1 D 3:1 9:61
6 48 48 46:1 D 1:9 3:61
7 61 61 46:1 D 14:9 222:01
8 55 55 46:1 D 8:9 79:21
9 44 44 46:1 D 2:1 4:41
10 35 35 46:1 D 11:1 123:21
TOTAL 461 0:22 586:9
x 461
The mean XN D Pn i D 10 D 46:1
1 2
The variance s2 D n 1 P xi XN
D 586:9
4
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