Introduction to Quartiles and Interquartile Range

Introduction to Quartiles and Interquartile Range

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

Used 1+ times

FREE Resource

The video tutorial explains the concept of interquartile range (IQR) and quartiles using cumulative frequency graphs. It covers how to calculate the lower quartile (Q1), median (Q2), and upper quartile (Q3) and interpret these values in the context of exam marks. The tutorial highlights the limitations of using range as a measure of data spread due to its sensitivity to outliers and introduces IQR as a more robust alternative. The video concludes with a summary and encourages practice to reinforce understanding.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the median represent in a data distribution?

The highest data point

The middle data point

The average of all data points

The lowest data point

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which quartile is also known as the second quartile?

Q1

Q2

Q3

Q4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What percentage of data lies below the median?

25%

50%

100%

75%

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the lower quartile (Q1) defined?

75% of observations are below it

All observations are below it

50% of observations are below it

25% of observations are below it

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the upper quartile (Q3) indicate?

All observations are below it

25% of observations are below it

50% of observations are below it

75% of observations are below it

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why might an exam be considered too difficult based on quartile analysis?

The median score was the highest possible score

Most students scored below the lower quartile

75% of students scored below half of the total marks

All students scored above the upper quartile

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a major drawback of using the range as a summary statistic?

It is not affected by outliers

It only considers the middle 50% of data

It is highly affected by outliers

It is difficult to calculate

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