Box-Whisker CatData & Chance · statistics and probability

A box of a body with long whiskers: range, quartiles and the five-number summary.

Measures of Spread

Range, quartiles and the five-number summary. In MathBound, the free Algebra I adventure game, Box-Whisker Cat asks these problems, and the only way past is to solve them.

Part of Data Analysis: chapter 12 of the standard course.

Play this battle free

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Range and Interquartile Range. Find the range of a data set.
Five-Number Summary. Find a quartile or the five-number summary of a data set.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Range and Interquartile Range

The

table

shows

how

many

goals

a

team

scored

in

its

games.

What

is

the

range

of

the

goals

scored?

Goals Games 03142130415360

$4$
$5$
$6$
$12$

Show the worked steps

$Only$ $values$ $that$ $happened$ $count:$ $from$ $0$ $to$ $5$ $goals.$
$Range$ $= 5 - 0 = 5 .$

Answer: $5$

Example 2 · Five-Number Summary

What

is

the

third

quartile

of

25, 34, 8, 30, 17, 43, 4 ?

$34$
$8$
$25$
$43$

Show the worked steps

$In$ $order:$ $4, 8, 17, 25, 30, 34, 43 .$ $The$ $median$ $is$ $25 .$
$The$ $upper$ $half$ $is$ $30, 34, 43,$ $whose$ $median$ $is$ $34 .$

Answer: $34$

Example 3 · Range and Interquartile Range

Class

A^{'} s

quiz

scores

were

56, 70, 64, 52, 83, 78 .

Class

B^{'} s

were

42, 66, 95, 58, 71, 98 .

Which

class’s

scores

have

the

larger

range,

and

by

how

much?

$Class$ $A,$ $by$ $25$
$Class$ $B,$ $by$ $25$
$Class$ $B,$ $by$ $15$
$Class$ $B,$ $by$ $10$

Show the worked steps

$Class$ $A:$ $83 - 52 = 31 .$ $Class$ $B : 98 - 42 = 56 .$
$Class$ $B$ $is$ $larger,$ $by$ $25 .$

Answer: $Class$ $B,$ $by$ $25$

Where it is in your textbook

Textbook	Lessons
Standard course	12.2, 12.4
Big Ideas Math Algebra 1	11.1, 11.2
Big Ideas Math Algebra 1 (2022)	11.1, 11.2
Carnegie Learning Algebra I	M4 1.1, M4 1.2, M4 1.3
CPM Core Connections Algebra	11.2.1, 11.2.2, 11.2.3
CPS Skyline Algebra	9.1-9.2
enVision Algebra 1	11-1, 11-2, 11-4
enVision Algebra 1 (2024)	11-1, 11-2, 11-4
Eureka Math Algebra I (EngageNY)	2.4-2.6, 2.7, 2.8
Glencoe Algebra 1	0-12, 12-2, 12-3, 12-4
HMH Into Algebra 1	22.1, 22.2
Holt McDougal Larson Algebra 1	10.2, 10.5
Illustrative Mathematics Algebra 1	1.1-1.3, 1.4-1.5, 1.9-1.11, 1.12-1.13, 1.14, 1.15-1.16
Illustrative Mathematics Algebra 1 (v.360)	1.1-1.3, 1.4-1.5, 1.9-1.11, 1.12-1.13, 1.14, 1.15-1.16
Math Nation Algebra 1 (Florida B.E.S.T.)	12.2, 12.3
MVP Mathematics I (Integrated Math 1)	9.6, 9.7, 9.8
Open Up NC Math 1 (MVP)	9.6, 9.7, 9.8
Pearson Algebra 1 Common Core	12-3, 12-4
Reveal Algebra 1	12-1, 12-3, 12-4, 12-5, 12-6
SpringBoard Algebra 1	36, 37

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