Box Plots and Interquartile Range
You're viewing free preview questions — 4 questions previewing here — subscribe to unlock 64 more, plus the Full Question Bank, Mock Papers & Worksheets.Upgrade

Box Plots and Interquartile Range — Free MYP2 Mathematics Practice Questions

1QuestionComparing Data Sets Using Box PlotsConcept Practice
2 marks~3 minCriterion B
Three box plots show test scores for Class A, Class B, and Class C. All three classes have a median of 7575.

Class A: IQR=10\text{IQR} = 10 — Class B: IQR=20\text{IQR} = 20 — Class C: IQR=30\text{IQR} = 30
a
Identify which class has the most spread in the middle 50% of scores. [1]
b
Describe the relationship between the IQR and how clustered the middle 50% of scores are, using all three classes as evidence. [1]
Question diagram

Solutions

2QuestionFinding the Five-Number SummaryAssessment Practice
5 marks~8 minCriterion C
A student records the ages (in years) of six participants at a community sports event:

8,9,10,11,12,458, \quad 9, \quad 10, \quad 11, \quad 12, \quad 45
a
State the five-number summary (minimum, Q1Q_1, median, Q3Q_3, maximum) for this data set. [2]
b
Calculate the interquartile range (IQR), where IQR=Q3−Q1\text{IQR} = Q_3 - Q_1. [1]
c
Compare how well the median and IQR represent the typical age of participants, and identify one limitation of the five-number summary for this data set. [2]
Question diagram

Solutions

3QuestionCalculating and Interpreting the Interquartile RangeConcept Practice
3 marks~5 minCriterion A
The box plots below show the test scores of Class A and Class B.

Class AQ1=55Q_1 = 55Q3=75Q_3 = 75
Class BQ1=60Q_1 = 60Q3=80Q_3 = 80


The interquartile range (IQR) measures the spread of the middle 50% of scores: IQR=Q3−Q1IQR = Q_3 - Q_1
a
State the Q1Q_1 and Q3Q_3 values for Class B. [1]
b
Calculate the IQR for each class. [1]
c
Compare the consistency of the two classes. Refer to your IQR values in your answer. [1]
Question diagram

Solutions

4QuestionCalculating and Interpreting the Interquartile RangeAssessment Practice
6 marks~9 minCriterion D
A school records the weekly homework time (in minutes) for 7 students:

45,50,55,60,65,70,20045, \quad 50, \quad 55, \quad 60, \quad 65, \quad 70, \quad 200
a
Calculate the range and the interquartile range (IQR) for this data set. [2]
b
Identify which value is an outlier (a value far outside the rest of the data) and explain how it affects the range. [2]
c
Compare the range and the IQR as measures of spread. State which better represents the typical homework time for most students, and why. [2]
Question diagram

Solutions

Questions 5-68

Unlock these questions with Premium

Sign Up →

That's every free question here — 4 of 68.

+64 more questions, plus Mock Papers & Worksheets, are waiting in Premium.

Upgrade