lOMoAR cPSD| 51600623
1 STA1610/1
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, lOMoAR cPSD| 51600623
Question 1
The variable “customer satisfaction” using the following four–point scale:
1 ‘not satisfied’, 2 ‘slightly satisfied’, 3 ‘satisfied’ and 4 ‘very satisfied’ represents
1. discrete variable
2. nominal variable
3. ordinal variable
4. continuous variable
5. discrete and ordinal variable
Solution
Variable "customer satisfaction" (1 ’not satisfied’, 2 ’slightly satisfied’, 3 ’satisfied’ and 4 ’very
satisfied’). This statement represents a qualitative - ordinal variable as the values 1, 2, 3 and 4 are used to
show the order but cannot be interpreted. We can even remove them to see the data values in the form of
ordered list. Option (3)
Question 2
A survey of readers asked respondents to complete the following:
A. Gender
B. Marital status
C. Number of magazine subscriptions
D. Annual income
E. Rate the lecturer (very effective, effective, not too effective, not at all effective).
Determine the type of variable from each items given above, which one represents the discrete variable?
1. C and D
2
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, lOMoAR cPSD| 51600623
2. A, B and E
3. C and E
4. Only D
5. Only C
Solution
A. Gender (male and female): represents a qualitative - nominal variable.
B. Marital status (single, married, divorced, widow): represents a qualitative - nominal variable.
C. Number of magazine subscriptions (can be 1, or 2, or 4 and so on): represents a quantitative - discrete
variable.
D. Annual income (can be R200 000 00 or R600 000 00, and so on ): represents a quantitative -
continuous variable.
E. Rate the lecturer (very effective, effective, not too effective, not at all effective): represents a
qualitative - ordinal variable.
Option (5)
Question 3
The variable “country” with possible values encoded as
1 ‘South Africa’, 2 ‘USA’, 3 ‘UK’ and 4 ‘Zimbabwe’ represents
1. nominal variable
2. ordinal variable
3. discrete variable
4. continuous variable
5. both ordinal and discrete variable
3 STA1610/1
Downloaded by Vincent kyalo
()
, lOMoAR cPSD| 51600623
Solution
The variable country (1 ’South Africa’, 2 ’USA’, 3 ’UK’, 4 ’Zimbabwe’) represents a qualitative
nominal variable.
Option (1)
Question 4
Which one of the following statements is incorrect?
1. The average marks for STA1610, the values could be 75%, 74 8% and 74 89% is a continuous
variable.
2. The number of children in a family is a discrete variable.
3. The median is sensitive to outlier.
4. The mean makes use of all observations.
5. In a data set we can have more than one mode.
Solution
1. Correct
The average marks for STA1610 are 0 75; 0 748; and 0 7489
2. Correct
The number of children in the family can be for example 1, 10 or 15 or 25 and so on: Integers numbers.
3. Incorrect
The median is the middle value while the outlier is an extreme value from the dataset.
4. Correct
The mean is the sum of values in the dataset divide by the total number.
4
Downloaded by Vincent kyalo ()
1 STA1610/1
Downloaded by Vincent kyalo
()
, lOMoAR cPSD| 51600623
Question 1
The variable “customer satisfaction” using the following four–point scale:
1 ‘not satisfied’, 2 ‘slightly satisfied’, 3 ‘satisfied’ and 4 ‘very satisfied’ represents
1. discrete variable
2. nominal variable
3. ordinal variable
4. continuous variable
5. discrete and ordinal variable
Solution
Variable "customer satisfaction" (1 ’not satisfied’, 2 ’slightly satisfied’, 3 ’satisfied’ and 4 ’very
satisfied’). This statement represents a qualitative - ordinal variable as the values 1, 2, 3 and 4 are used to
show the order but cannot be interpreted. We can even remove them to see the data values in the form of
ordered list. Option (3)
Question 2
A survey of readers asked respondents to complete the following:
A. Gender
B. Marital status
C. Number of magazine subscriptions
D. Annual income
E. Rate the lecturer (very effective, effective, not too effective, not at all effective).
Determine the type of variable from each items given above, which one represents the discrete variable?
1. C and D
2
Downloaded by Vincent kyalo ()
, lOMoAR cPSD| 51600623
2. A, B and E
3. C and E
4. Only D
5. Only C
Solution
A. Gender (male and female): represents a qualitative - nominal variable.
B. Marital status (single, married, divorced, widow): represents a qualitative - nominal variable.
C. Number of magazine subscriptions (can be 1, or 2, or 4 and so on): represents a quantitative - discrete
variable.
D. Annual income (can be R200 000 00 or R600 000 00, and so on ): represents a quantitative -
continuous variable.
E. Rate the lecturer (very effective, effective, not too effective, not at all effective): represents a
qualitative - ordinal variable.
Option (5)
Question 3
The variable “country” with possible values encoded as
1 ‘South Africa’, 2 ‘USA’, 3 ‘UK’ and 4 ‘Zimbabwe’ represents
1. nominal variable
2. ordinal variable
3. discrete variable
4. continuous variable
5. both ordinal and discrete variable
3 STA1610/1
Downloaded by Vincent kyalo
()
, lOMoAR cPSD| 51600623
Solution
The variable country (1 ’South Africa’, 2 ’USA’, 3 ’UK’, 4 ’Zimbabwe’) represents a qualitative
nominal variable.
Option (1)
Question 4
Which one of the following statements is incorrect?
1. The average marks for STA1610, the values could be 75%, 74 8% and 74 89% is a continuous
variable.
2. The number of children in a family is a discrete variable.
3. The median is sensitive to outlier.
4. The mean makes use of all observations.
5. In a data set we can have more than one mode.
Solution
1. Correct
The average marks for STA1610 are 0 75; 0 748; and 0 7489
2. Correct
The number of children in the family can be for example 1, 10 or 15 or 25 and so on: Integers numbers.
3. Incorrect
The median is the middle value while the outlier is an extreme value from the dataset.
4. Correct
The mean is the sum of values in the dataset divide by the total number.
4
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