Grid and area under curves

IV. Camille A. Farrington, a former inner-city high-school teacher who now works at the University of ChicagoConsortium on School Research, has found four key beliefs that, when embraced by students, seem to
contribute most significantly to their tendency to persevere in the classroom. Indicate how much you agree with
the following statements regarding this course. Circle your response for each.
a) I belong in this academic community.
Strongly disagree Disagree Neutral Agree Strongly Agree
b) My ability and competence grow with my effort.
Strongly disagree
Strongly Agree
c) I can succeed at this.
Strongly disagree
Strongly Agree
d) This work has value for me.
Strongly disagree
Strongly Agree
V. Read this list of values and think about each one. Circle 2 to 3 that are most important to you.
• Athletic ability
• Living in the moment
• Nature and the environment
• Art and literature
• Membership in a social group
(such as your community,
racial group, or school club)
Relationships with friends and
Creativity, discovering, or
inventing things to make a
difference in the world
• Sense of humor
• Music
• Success in my career
. My community
• Other;
• Kindness and generosity
• My moral principles
In a few sentences, describe why the selected values are important to you. Focus on your thoughts and feelings,
and don’t worry about spelling, grammar, or how well-written it is.
Stat 150 – Grit
“Reflection is one of the most underused yet powerful tools for success.”
1. After watching the video(s), describe grit in your own words.
II. Go to and find out how “gritty” you are. For the most accurate score,
when responding, think of how you compare to most people – not just the people you know well, but most
people in the world. There are no right or wrong answers, so just answer honestly!
your Grit Score here:
III. Think about someone you know who has worked hard towards a long-term goal. Remember (and this is
important), this exercise is not about someone overcoming hardships in life and then doing well. This
assignment is to ask all you can about someone who set a difficult, far-off goal, and was able to achieve it.
What was the goal your gritty person was aiming for, what were the obstacles/struggles your person had to
overcome and how were they able to manage those, and what is their life like now that they accomplished the
big goal. Summarize that information here. (Write at least five sentences here)
Grit Playbook
The following infographic is a real world example of two approximately normal distributions, made up
of a survey on the height distributions of 4,600 husbands and wives in the United States in 2009.
8a. Which distribution belongs to
the husbands and which to the
wives? Why do you believe that?
Height distribution of husbands and wives
U.S., 2009
Percentage of people
8b. What do you believe is the
mean height for the wives?
8c. Which distribution has a
smaller standard deviation?
8d. What height would you estimate to separate the shortest 30% of husbands from the taller 70%?
8e. What two heights would you estimate to contain the middle 50% of wives?
7a. What marathon time has the highest
frequency? Why do you think that is?
The following infographic is a real world example of an approximately normal distribution, made up of
around 9 million marathon (26.2 miles) finishing times (in hours and minutes).
Distribution of Marathon Finishing Times
7b. What would you estimate the mean
marathon time to be, and why?
Number of Finlshers (in thousands)
3:30 4:00 4:30 5:00 5:30 6:00
Finish Time (one-minute increments)
7c. What marathon time would you estimate to separate the fastest 5% of finishers from the other 95%?
7d. What marathon time would you estimate to separate the slowest 20% of finishers from the other
big would you
Why do you think that is?
4. For the last two exercises, what do you notice about the estimated numerical values of your z-scores?
5. Is this the correct picture for a z -score that separates the bottom 85% of the data from the top 15%.
Why or why not?
6a. Given the diagram below, circle which area to the right you think is shaded out of the options below:
• 5% to the right of z
• 10% to the right of z
• 90% to the right of z
• 1% to the right of z
you can
6b. Why did you choose this answer out of the four options? What does that mean the area to the left
will be?
6c. Do you think the z-score we find will be negative, zero, or positive? Explain your reasoning.

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