Range and IQR Practice
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Range and IQR Practice
📊 Part 1: Calculating Range and IQR
a) Range = Highest value - Lowest value = _______ - _______ = _______
b) Find the quartiles:
Q1 (first quartile) = _______
Q2 (median) = _______
Q3 (third quartile) = _______
c) IQR = Q3 - Q1 = _______ - _______ = _______
Range = _______ marks
IQR = _______ marks
📈 Part 2: Interpreting Box Plots
Minimum: 8°C, Q1: 12°C, Median: 16°C, Q3: 22°C, Maximum: 28°C
a) Range = _______°C
b) IQR = _______°C
c) What percentage of days had temperatures between Q1 and Q3? _______
Class A: Range = 40 marks, IQR = 15 marks
Class B: Range = 25 marks, IQR = 20 marks
🤔 Part 3: Analysis and Reasoning
a) Calculate the range: _______
b) Calculate the IQR: _______
c) Which score appears to be an outlier? _______
d) Explain why IQR gives a better picture of the team's typical performance:
Group 1: Range = $15, IQR = $8
Group 2: Range = $12, IQR = $10
Which group has more variability in their pocket money? Justify your answer using both measures of spread:
0, 2, 3, 5, 8, 12, 15, 18, 22, 25, 85
Explain why a meteorologist might prefer to use IQR rather than range when describing typical rainfall variation:
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