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NG_AL2_T_03_Day1_GR_MathIntro_SB_The_Normal_Distribution
16.02.2016
LearningMate Solutions
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INFORMATION RECEIVED FROM K12
(To be used for the video scripting.)
Learning Objective: (column M)
 Solve problems about normally distributed data using the 68-95-99.7 rule.
 Determine whether a data set is normally distributed.
Prerequisite Skills:(column R)
Not available
Idea Outline from K12: (column S)
K12 has not provided with any Idea Outline.
Book Reference:
http://k12.kitaboo.com/eBookWs/ebook/maths/maths21/#
Pages 23-24 and 38–39
Note from the client: (but don’t discuss z-scores, so problems 1 and 3 okay)
STORYBOARD SCRIPT
Approx video length: 85 seconds
Word Count: 203
Topic: The Normal Distribution
Video Format: Hosted
Video Type: Concept
Target Audience: Grades 9 – 11
Audio
Number
Narration
OST
Design Notes
Athletes: The Normal Distribution Show the title on screen.
Image ID_376933027
Image ID_139255337
Image ID_119145274
NG_AL2
_T_03_D
ay1_GR_
MathIntr
o_01.mp
3
Hello! I’m Jenna, and I love
basketball.
The average male basketball player
is two hundred centimeters tall. I
know that he is taller than the
average male baseball player and
both are taller than the average
man.
I wonder what percent of men are
200 cm
187 cm
175.5 cm
1. Show Jenna (actor: Patricia) in the
dining room.
2. Show a male basketball player (tall).
Add label beneath: “200 cm”.
3. Show a male baseball player (middle
height). Add label beneath: “187 cm”.
4. Show an average man (shortest
height). Add label beneath: “175.5 cm”.
5. Show Jenna close up.
shorter than the average basketball
player.
NG_AL2
_T_03_D
ay1_GR_
MathIntr
o_02.mp
3
What percentage of men is shorter
than two hundred centimeters?
Over fifty-five percent, over
seventy-five percent, or over
ninety-five percent?
What percentage of men is
shorter than two hundred
centimeters?



1. Change to Male Adult VO
Background Image ID_245637325
Use this backdrop as the screen for the
following steps.
Over 55%
Over 75%
Over 95%
Over ninety-five percent! Let’s find
out why.
NG_AL2
_T_03_D
ay1_GR_
Heights of men are normally
distributed with a mean of one
hundred seventy-five point five
Heights of men are normally
distributed.
2. Highlight ‘over 95%
1.Show OST sentence
2. Show “Mean = 175.5 cm”
3. Show “Standard Deviation = 7.37 cm”
MathIntr
o_03.mp
3
NG_AL2
_T_03_D
ay1_GR_
MathIntr
o_04.mp
3
centimeters and a standard
deviation of seven point three
seven centimeters.
Mean = 175.5 cm
This means that the distribution of
heights can be shown as a bell
curve, with one hundred seventyfive point five centimeters in the
middle.
[FRO 4]
To determine the percent of heights
that are below two hundred
centimeters, we want the area
under the bell curve below x equals
two hundred.
[FRO1]
Using a graphing calculator, we see
that this area is zero point nine
seven five, which means ninetyseven point five percent of men are
shorter than two hundred
centimeters tall.
Standard Deviation = 7.37 cm
4.Show the image as shown below, title
of graph “Male Height,” label the
horizontal axis “Height (cm)”
1.Keep the graph from last scene. Show
the OST “x = 200” with vertical line and
shade under the bell curve to the left of
the line.
Area = 0.975
97.5% of adult males are shorter
than 200 cm
2. Show OST “Area = 0.975”.
3. Show final OST.
NG_AL2
_T_03_D
ay1_GR_
MathIntr
o_05.mp
3
By examining the normal
distribution, I know that almost
ninety-eight percent of men are
actually shorter than the average
basketball player.
1. Show Jenna back on screen.
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