Reading Statistical Data

Your Mission

Three riders go out for a sweet bike ride around Cache Valley. They record their speed and heart rates as they ride. Being the good technoathletes that they are, they graph their data to analyze their performance and measure improvement. However, they are having trouble understanding the different views of the data: Time-based views, and distribution-based views, commonly called histograms. Help them find errors in their thinking and interpretation of their data.

Definition of TermsClick the term to have the description appear

Mean

Median

Mode The number that occurs most frequently

The middle number if you counted towards the middle from the first and last number

The sum of a set of numbers divided by the amount of numbers

Definition of TermsClick the term to have the description appear

Histogram

Time-based view

A bar graph that shows how frequently data occur within a certain rangeUsed to examine changes over time

A chronological graph of data from the start of somethingUsed to compare large sets of data and see how frequently certain levels of data occur to the end

Definition of TermsClick the term to have the description appear

Normal Curve

Skew

A bell-shaped curve that shows how a distribution-based view of data usually looks given a large enough sample of data

Asymmetrical normal curves where the mean is pulled to the left or right because the data aggregates more to the low or high part of the distribution

Time-based ViewClick the term to have the description appear

X-axis

Y-axis

The x-axis is always time in a time based view.This shows the progression of time on the y-axis

The y-axis is the variable to examine over time.In this case, heart-rate is the y-axis

HistogramClick the term to have the description appear

X-axis

Y-axis

The x-axis is the variable to be measuredIn this case, heart-rate is the x-axis

The y-axis is always a measure of count, how often the data is at that levelIn this case, the heart-rate is most often between 140-145

Ride One: Time-Based View Ride One: Histogram

Rider 1: Vance Legstrong

• The following short video will outline how to use the Excel data we’ve prepared for you

• Files:– Vance Legstrong– Freddy Merckx– Padel Bevans

Using Excel to Manage the Riders’ Data

Rider #2: Freddy Merckx

• This slide should show the whole problem.

• This portrayal will contain errors, which in the next slide(s) the learner will assess

Help Freddy

Histogram Time-based View

Incorrect, while a Time-based View would show his heart-rate, it would not easily show how many times it is at this level

Correct, the Histogram would show how often his heart-rate falls between 160 and 180

Freddy wants to examine how often his heart-rate falls between 160 and 180 beats per minute.What would be the best graph for this?

Help Freddy

Yes No

Incorrect, look at the x-axis Correct, Freddy started his x-axis away from the origin point

Did Freddy correctly setup his figure?

Rider #3: Padel Bevans

• This layout is similar to the other first slide of the other portrayals

• (images)• Data File

• This slide will introduce Steven’s problem, wherein he does not know how to display his data

• This slide will contain some data that the learner will manipulate on the future slides

• This will not have graphing or calculation

• Simply, “This is his data. What should he do with it?”

• This slide will restate the data.

• Then ask the learner to do (do-execute) the calculation of the mean, median, and mode.

BRAD LEAVE THIS FOR NOW

• This slide will restate the data.

• Then ask the learner to setup (do-execute) the graphs

BRAD LEAVE THIS FOR NOW

Time-Based ViewTitle

Rider #3

Rider #1 Rider #2

Definition of Terms

Histogram

Help Freddy

Differences in Views

Your Mission

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