IQR = Q3 - Q1: Real-world Applications in Medicine & Health

Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet exploring the calculation and application of the Interquartile Range (IQR) in real-world medicine and health contexts.

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IQR = Q3 - Q1: Real-world Applications in Medicine & Health

Subject: MathematicsGrade: Year 9
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Untitled Worksheet

Grade Year 9
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Given the following data on patients' blood pressure readings (in mm Hg): 120, 125, 130, 135, 140, 145, 150. Find Q1, Q3, and calculate the IQR.
[3 marks]
2.
A study measures the cholesterol levels of 12 patients: 180, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240. Calculate the IQR for this data set.
[3 marks]
3.
Plot the graph of y=0.5x + 10 for x values from 0 to 10.
[2 marks]
4.
Construct a box plot on the grid for the cholesterol data: 180, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240.
[2 marks]
5.
In a clinical trial, the ages of patients are: 29, 31, 33, 35, 37, 39, 41, 43, 45, 47. Find the IQR and interpret what it tells us about the age distribution.
[3 marks]
6.
A dataset of blood sugar levels (mg/dL): 90, 92, 95, 100, 102, 105, 110, 115, 120. Calculate the IQR.
[3 marks]
7.
A researcher compares the recovery times (days) of patients: 5, 6, 7, 7, 8, 9, 10, 12, 14. Find the IQR and discuss the spread of recovery times.
[3 marks]
8.
A study records the number of daily steps taken by patients: 3000, 4000, 5000, 6000, 7000, 8000, 9000, 10000. Calculate the IQR and interpret the variation.
[3 marks]
9.
A dataset of patient heart rates (bpm): 60, 62, 65, 70, 75, 80, 85. Find the IQR and explain what it signifies about heart rate variability.
[3 marks]
10.
A dataset of vaccine doses administered daily: 50, 55, 60, 65, 70, 75, 80, 85. Calculate the IQR and discuss the consistency of vaccination rates.
[3 marks]
11.
A health report shows the number of daily hospital admissions: 20, 25, 30, 35, 40, 45, 50. Find the IQR and identify the middle 50% range of admissions.
[3 marks]
12.
Identify and correct the mistake: A student calculates IQR as Q3 - Q2. Explain why this is incorrect and provide the correct formula.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet