Histogram HenData & Chance · statistics and probability

Tail feathers like a bar chart: reading data displays and their shape.

Data Displays

Reading data displays and their shape. In MathBound, the free Algebra I adventure game, Histogram Hen 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

Reading Data Displays. Read a count or the mode from a dot plot.
Shape of a Distribution. Name a display as symmetric, skewed left or skewed right.

Worked examples

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

Example 1 · Shape of a Distribution

In

a

distribution,

most

of

the

data

are

on

the

right,

with

a

long

tail

to

the

left.

What

is

its

shape?

$skewed$ $right$
$skewed$ $left$
$uniform$
$symmetric$

Show the worked steps

$A$ $distribution$ $is$ $skewed$ $toward$ $its$ $long$ $tail,$ $not$ $toward$ $its$ $peak.$
$So$ $it$ $is$ $skewed$ $left.$

Answer: $skewed$ $left$

Example 2 · Shape of a Distribution

In

a

distribution

that

is

skewed

left,

how

does

the

mean

usually

compare

with

the

median?

$The$ $mean$ $is$ $less$ $than$ $the$ $median$
$The$ $mean$ $is$ $greater$ $than$ $the$ $median$
$The$ $mean$ $is$ $always$ $twice$ $the$ $median$
$The$ $mean$ $and$ $the$ $median$ $are$ $about$ $equal$

Show the worked steps

$A$ $long$ $tail$ $pulls$ $the$ $mean$ $toward$ $it;$ $the$ $median$ $stays$ $with$ $the$ $middle$ $value.$
$The$ $mean$ $is$ $less$ $than$ $the$ $median.$

Answer: $The$ $mean$ $is$ $less$ $than$ $the$ $median$

Example 3 · Shape of a Distribution

Which

describes

the

data

10, 12, 13, 12, 12, 11, 12, 11, 12, 11, 13, 14, 13 ?

$Symmetric,$ $so$ $the$ $median$ $is$ $the$ $better$ $measure$ $of$ $center$
$Skewed$ $right,$ $so$ $the$ $mean$ $is$ $the$ $better$ $measure$ $of$ $center$
$Symmetric,$ $so$ $the$ $mean$ $is$ $the$ $better$ $measure$ $of$ $center$
$Skewed$ $right,$ $so$ $the$ $median$ $is$ $the$ $better$ $measure$ $of$ $center$

Show the worked steps

$Tally$ $the$ $values$ $from$ $10$ $to$ $14 : 1, 3, 5, 3, 1 .$
$They$ $are$ $symmetric;$ $with$ $no$ $tail,$ $the$ $mean$ $describes$ $the$ $center$ $best.$

Answer: $Symmetric,$ $so$ $the$ $mean$ $is$ $the$ $better$ $measure$ $of$ $center$

Where it is in your textbook

Textbook	Lessons
Standard course	12.3, 12.4
Big Ideas Math Algebra 1	11.2, 11.3, 11.5
Big Ideas Math Algebra 1 (2022)	11.2, 11.3, 11.5
Carnegie Learning Algebra I	M4 1.1, M4 1.2, M4 1.3
CPM Core Connections Algebra	11.2.1, 11.2.2
CPS Skyline Algebra	9.1-9.2
enVision Algebra 1	11-1, 11-3
enVision Algebra 1 (2024)	11-1, 11-3
Eureka Math Algebra I (EngageNY)	2.1-2.3, 2.7, 2.8
Glencoe Algebra 1	0-13, 12-3, 12-4
HMH Into Algebra 1	22.1, 22.2
Holt McDougal Larson Algebra 1	10.4, 10.5
Illustrative Mathematics Algebra 1	1.1-1.3, 1.4-1.5, 1.9-1.11, 1.14, 1.15-1.16
Illustrative Mathematics Algebra 1 (v.360)	1.1-1.3, 1.4-1.5, 1.9-1.11, 1.14, 1.15-1.16
Math Nation Algebra 1 (Florida B.E.S.T.)	12.1, 12.2, 12.3
MVP Mathematics I (Integrated Math 1)	9.6, 9.8
Open Up NC Math 1 (MVP)	9.6, 9.8
Pearson Algebra 1 Common Core	12-2, 12-3, 12-4
Reveal Algebra 1	12-2, 12-4, 12-5, 12-6
SpringBoard Algebra 1	37

Ready for Histogram Hen?

Play this battle free Play the whole adventure