Quantitative data

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Quantitative data

Name:
Date:
Class:

Quick Questions

Shade in the A or B circle for each question.

1. Which is an example of quantitative data?
A The number of students in a class: 28
B A student's favourite subject: Maths
2. Quantitative data is best described as...
A Numerical data that can be counted or measured
B Descriptive data about opinions and feelings
3. The number of goals scored in a footy match is which type of quantitative data?
A Continuous (measured)
B Discrete (counted)
4. A sensor records the temperature of a room as 22.6 degrees. What type of quantitative data is this?
A Discrete (counted)
B Continuous (measured)
5. Which data can be used in calculations such as finding an average?
A Test scores: 72, 85, 91
B Interview comments: 'It was fine'

Match the Pairs

Draw a line connecting each item on the left to its match on the right.

Left columnRight column
1students = 28 A=AVERAGE(B2:B30)
2temperature = 23.7 B=COUNTIF(B2:B30,">50")
3Quantitative data can be used in calculations, such as finding an average score CHeight is measured and can have decimals, so it is continuous data, not discrete data
4Quantitative data can be counted, such as how many students scored over 50 DContinuous quantitative data: a measurement that can take any value on a scale, including decimals
5Quantitative data: eye colour = blue EDiscrete quantitative data: a count of whole items that cannot be split into fractions
6Discrete data: height = 172.5 cm FEye colour is a description (qualitative data), not a number that is counted or measured, so it is not quantitative

Definitions

Quantitative data

Fill in the Blanks

Complete each line of code by filling in the missing parts.

1.
=_______(B2:B30)
2.
=_____(A2:A30)
3.
=___(C2:C20)
4.
=MAX(C2:C20)_MIN(C2:C20)
5.
=___(B2:B30)/COUNT(B2:B30)

Spot the Error

Shade in the letter of the line that contains an error.

Question 1
A ages = [15, 16, 16, 17]
B total = sum(ages)
C count = len(ages)
D average = total * count
Question 2
A students = 28
B absent = 3
C present = students + absent
Question 3
A temps = [18.5, 21.0, 19.5]
B highest = max(temps)
C lowest = max(temps)
Question 4
A score = "87"
B bonus = 5
C total = score + bonus
D print(total)
Question 5
A measure = "temperature"
B counted = False
C kind = "discrete"
D print(kind)

Answer Key

Quantitative data
Section A: Quick Questions
Q1
A — The number of students in a class: 28
Q2
A — Numerical data that can be counted or measured
Q3
B — Discrete (counted)
Q4
B — Continuous (measured)
Q5
A — Test scores: 72, 85, 91
Section B: Match the Pairs
Q1
students = 28 → Discrete quantitative data: a count of whole items that cannot be split into fractions
Q2
temperature = 23.7 → Continuous quantitative data: a measurement that can take any value on a scale, including decimals
Q3
Quantitative data can be used in calculations, such as finding an average score → =AVERAGE(B2:B30)
Q4
Quantitative data can be counted, such as how many students scored over 50 → =COUNTIF(B2:B30,">50")
Q5
Quantitative data: eye colour = blue → Eye colour is a description (qualitative data), not a number that is counted or measured, so it is not quantitative
Q6
Discrete data: height = 172.5 cm → Height is measured and can have decimals, so it is continuous data, not discrete data
Section C: Definitions
Q1
Quantitative data — Numerical data that can be counted (discrete, like number of students) or measured (continuous, like temperature) and used in calculations, such as ages, scores and temperatures.
Section D: Fill in the Blanks
Q1
=AVERAGE(B2:B30)
Q2
=COUNT(A2:A30)
Q3
=MAX(C2:C20)
Q4
=MAX(C2:C20)-MIN(C2:C20)
Q5
=SUM(B2:B30)/COUNT(B2:B30)
Section E: Spot the Error
Q1
D — The average (mean) of quantitative data is the total divided by the count, so it should be total / count.
Q2
C — Students who are present are found by subtracting the absent count from the total, so it should be students - absent. Counts are quantitative data and can be used in calculations.
Q3
C — The lowest temperature needs min(temps). max() finds the highest value.
Q4
A — Quotes make 87 a string (text), not a number, so it can't be used in calculations. Quantitative data should be stored as a number: score = 87.
Q5
C — Temperature is measured, not counted, so it is continuous quantitative data. Discrete data is counted, like the number of students.