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Questions and Answers

- 1.
### I have collected data relating to :

- the height of a tree

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

C. Continuous numerical variableExplanation

The given variable, "the height of a tree," is a continuous numerical variable because it represents a measurement that can take on any value within a certain range. The height of a tree can be measured in inches, centimeters, or any other unit of length, and there is no limit to the possible values it can take.Rate this question:

- 2.
### I have collected data relating to :

- the population of a city over 40 years

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

B. Discrete numerical variableExplanation

The given data, which relates to the population of a city over 40 years, is a discrete numerical variable. This is because the population values are likely to be whole numbers, representing a count or a specific quantity, rather than a continuous range of values.Rate this question:

- 3.
### I have collected data relating to :

- skill level of a footballer (high, medium, low)

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

The skill level of a footballer is a categorical variable because it represents different categories or levels (high, medium, low) rather than a numerical value. Categorical variables are used to classify data into distinct groups or categories.Rate this question:

- 4.
### I have collected data relating to :

- skill level of a basketballer - by counting how many free three pointers they score out of 10

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

B. Discrete numerical variableExplanation

The skill level of a basketballer, measured by counting how many free three pointers they score out of 10, is a discrete numerical variable. This is because the variable takes on a countable number of distinct values, ranging from 0 to 10. It is numerical because the values represent a quantity or measurement, and it is discrete because it cannot take on any value between the whole numbers.Rate this question:

- 5.
### I have collected data relating to :

- whether a person drinks or not (1. Never, 2. Rarely, 3. Sometimes or 4. Often)

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

The given variable, "whether a person drinks or not," is a categorical variable because it represents different categories or groups (never, rarely, sometimes, often) rather than numerical values. Categorical variables are used to classify data into groups or categories based on qualitative characteristics.Rate this question:

- 6.
### I have collected data relating to :

- number of meals that include red meat

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

B. Discrete numerical variableExplanation

The variable "number of meals that include red meat" is a discrete numerical variable because it represents a count or a whole number value. It cannot take on fractional or continuous values.Rate this question:

- 7.
### I have collected data relating to :

- the baking temperature for cakes on a stove (High, Medium, Low)

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

The given variable, baking temperature for cakes on a stove, is a categorical variable because it consists of distinct categories or levels (High, Medium, Low) rather than numerical values. Categorical variables represent qualitative characteristics or attributes that cannot be measured on a numerical scale.Rate this question:

- 8.
### I have collected data relating to :

- the baking temperature for cakes on a stove in degrees Celcius

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

C. Continuous numerical variableExplanation

The given variable, baking temperature for cakes on a stove in degrees Celsius, is a continuous numerical variable. This is because temperature can take on any value within a range and can be measured with decimal points. It is not limited to specific categories or whole numbers, making it a continuous variable.Rate this question:

- 9.
### I have collected data relating to :

- number of DVD players in the house

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

B. Discrete numerical variableExplanation

The variable "number of DVD players in the house" is a discrete numerical variable because it represents a count or a finite number of possible values. It is not continuous because it cannot take on any value within a range, but rather only specific whole numbers.Rate this question:

- 10.
### I have collected data relating to :

- number of cars owned by a small businesses

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

B. Discrete numerical variableExplanation

The given variable, "number of cars owned by a small business," is a discrete numerical variable. This is because it represents a count or a whole number value that cannot be divided or measured in fractions or decimals. It is not a categorical variable because it does not represent different categories or groups. Additionally, it is not a continuous numerical variable because it does not represent a range or interval of values.Rate this question:

- 11.
### I have collected data relating to :

- speed of a car through a speed trap (under speed limit or over the speed limit)

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

The given data relates to the speed of a car through a speed trap, specifically whether the car is under the speed limit or over the speed limit. This variable is a categorical variable because it represents different categories or groups (under speed limit and over speed limit) rather than numerical values.Rate this question:

- 12.
### I have collected data relating to :

- speed of a car through a speed trap in kilometres per hour

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

C. Continuous numerical variableExplanation

The given variable, speed of a car through a speed trap in kilometres per hour, is a continuous numerical variable because it represents a quantitative measurement that can take on any value within a specific range. In this case, the speed can be any real number between 0 and infinity, allowing for an infinite number of possible values.Rate this question:

- 13.
### I have collected data relating to :

- number of blue cars that cross through an intersection

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

B. Discrete numerical variableExplanation

The given variable, "number of blue cars that cross through an intersection," is a discrete numerical variable. This is because it represents a count or a whole number value that can only take on specific and distinct values. It cannot have fractions or decimals, and it is not a categorical variable that represents different categories or groups.Rate this question:

- 14.
### I have collected data relating to :

- make of a car that crosses through an intersection

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

The given variable, "make of a car that crosses through an intersection," represents different categories or groups of car makes. It does not have numerical values or a specific order, making it a categorical variable.Rate this question:

- 15.
### I have collected data relating to :

- the colour of cars that pass through school crossing

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

The given data relates to the color of cars that pass through a school crossing. The color of a car is a categorical variable as it represents different categories or groups (e.g., red, blue, green). It does not have numerical values or a specific order associated with it, making it a categorical variable.Rate this question:

- 16.
### I have collected data relating to :

- horse racing where I note down the number of the winning horse

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

The variable of noting down the number of the winning horse in horse racing is a categorical variable because it represents different categories or groups (the numbers of the winning horses) rather than numerical values that can be measured or compared.Rate this question:

- 17.
### I have collected data relating to :

- horse racing where I note down the colour of the winning horse

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

The given data, which includes noting down the color of the winning horse in horse racing, represents a categorical variable. Categorical variables are qualitative variables that represent characteristics or attributes of a population, in this case, the color of the winning horse. This data cannot be measured or ordered numerically, but rather it represents different categories or groups. Therefore, the correct answer is a categorical variable.Rate this question:

- 18.
### I have collected data relating to :

- the length of a foot in centimetres

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

C. Continuous numerical variableExplanation

The given variable, "the length of a foot in centimeters," is a continuous numerical variable because it represents a measurement that can take on any value within a specific range (i.e., the length of a foot can be any decimal or fraction of a centimeter). It is not a categorical variable because it does not represent different categories or groups, and it is not a discrete numerical variable because it is not limited to specific whole numbers or intervals.Rate this question:

- 19.
### I have collected data relating to :

- shoe sizes (7, 7.5, 8, 8.5, 9, 9.5 etc)

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

This appears to be numerical BUT - it isn't counted, and we don't measure. In fact, this is categorical, because a size 8 can mean a different thing in different countries, and even within different brands. This type of variable is unlikely to appear on any exam BECAUSE it is debatable. But if you got it right - well done.Rate this question:

- 20.
### I have collected data relating to :

- size of your shirt (S, M, L, XL, 2XL, 3XL etc)

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

The variable "size of your shirt" is a categorical variable because it represents different categories or labels (S, M, L, XL, 2XL, 3XL, etc.) rather than numerical values. Categorical variables are used to classify data into distinct groups or categories. In this case, the sizes of the shirts are not numerical values but rather labels that represent different sizes.Rate this question:

- 21.
### I have collected data relating to :

- time taken to run a marathon (in minutes and seconds)

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

C. Continuous numerical variableExplanation

The given variable, time taken to run a marathon, is a continuous numerical variable. This is because it represents a quantitative measurement that can take on any value within a specific range. In this case, the time taken to run a marathon can vary continuously, from the shortest possible time to complete a marathon to the longest possible time. It is not limited to specific categories or discrete values.Rate this question:

- 22.
### I have collected data relating to :

- your opinion on government policy

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

The variable "your opinion on government policy" is a categorical variable because it represents different categories or groups. In this case, the categories could be different opinions such as "agree," "disagree," or "neutral." Categorical variables do not have a numerical value and instead represent qualitative characteristics or attributes.Rate this question:

- 23.
### I have collected data relating to :

- the weight of fish caught in a lake (Oversize or Undersize)

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

The weight of fish caught in a lake is a categorical variable because it represents different categories or groups (oversize or undersize) rather than numerical values. Categorical variables are used to classify data into distinct groups or categories based on qualitative characteristics. In this case, the weight of the fish is being categorized as either oversize or undersize, making it a categorical variable.Rate this question:

- 24.
### I have collected data relating to :

- the size of a motorcycle helmet (S, M, L, XL, 2XL)

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

The size of a motorcycle helmet (S, M, L, XL, 2XL) is a categorical variable because it represents different categories or groups rather than numerical values. Each size option represents a distinct category or group of helmet sizes, and there is no inherent numerical relationship or order between them.Rate this question:

- 25.
### I have collected data relating to :

- the size of a womans dress (6, 8, 10, 12, 14, 16, 18, 20 etc)

- A.
Categorical variable

- B.
Discrete numerical variable

- C.
Continuous numerical variable

- D.
I don't know

Correct Answer

A. Categorical variableExplanation

This is CATEGORICAL even though they are numbers because - we don't count them, and they are not standard measurements across the world.Rate this question:

- 26.
### A survey was done in the street to find out what menu items are the focus for a local restaurant. The following tally was the result at the end of Saturday evening trading. How many meals were ordered?

Correct Answer

70Explanation

The tally at the end of Saturday evening trading shows that 70 meals were ordered.Rate this question:

- 27.
### A survey was done in the street to find out what menu items are the focus for a local restaurant. The following tally was the result at the end of Saturday evening trading. How many people ordered Fish & Chips

Correct Answer

7Explanation

The tally shows that 7 people ordered Fish & Chips at the local restaurant.Rate this question:

- 28.
### A survey was done in the street to find out what menu items are the focus for a local restaurant. The following tally was the result at the end of Saturday evening trading. How many people ordered Pasta

Correct Answer

15Explanation

The tally indicates that 15 people ordered Pasta at the local restaurant.Rate this question:

- 29.
### A survey was done in the street to find out what menu items are the focus for a local restaurant. The following tally was the result at the end of Saturday evening trading. Correct to one decimal place, what percentage of people ordered Pizza?

Correct Answer

14.3

14.3%Explanation

The correct answer is 14.3,14.3%. This means that 14.3% of the people surveyed ordered pizza. The tally from the survey showed that out of all the menu items, pizza was chosen by 14.3% of the participants.Rate this question:

- 30.
### A survey was done in the street to find out what menu items are the focus for a local restaurant. The following tally was the result at the end of Saturday evening trading. Correct to one decimal place, what percentage of people ordered Meat & Veg?

Correct Answer

28.6

28.6%Explanation

The percentage of people who ordered Meat & Veg is 28.6%. This means that out of all the people surveyed, 28.6% of them chose Meat & Veg as their menu item.Rate this question:

- 31.
### The frequency table below shows the tally for a summer camp for Australian children in the Blue Mountains in New South Wales. Each participant was asked which state they were born in. How many participants were born in 'Other' States?

Correct Answer

23Explanation

The frequency table shows the tally for participants born in different states. The category 'Other' represents participants who were born in states other than the ones specifically listed in the table. The tally for 'Other' states is given as 23, indicating that 23 participants were born in states not mentioned in the table.Rate this question:

- 32.
### The frequency table below shows the tally for a summer camp for Australian children in the Blue Mountains in New South Wales. Each participant was asked which state they were born in. What percentage of participants were born in Victoria? (to the nearest whole number)

Correct Answer

23

23%Explanation

The frequency table shows the tally for a summer camp in the Blue Mountains in New South Wales. The question asks for the percentage of participants born in Victoria. According to the table, the tally for Victoria is 23. To find the percentage, divide the tally for Victoria (23) by the total number of participants and multiply by 100. The total number of participants is not given in the question, so it is not possible to calculate the percentage.Rate this question:

- 33.
### The frequency table below shows the tally for a summer camp for Australian children in the Blue Mountains in New South Wales. Each participant was asked which state they were born in. What percentage of participants were born in Western Australia? (correct to nearest whole number)

Correct Answer

9%

9Explanation

The frequency table shows the tally for participants born in different states. To find the percentage of participants born in Western Australia, we need to divide the tally for Western Australia by the total number of participants and then multiply by 100. Since the answer is given as 9%, it means that 9% of the participants were born in Western Australia. The number 9 is also provided as an alternative representation of the percentage.Rate this question:

- 34.