Name that Formula
mean= sum of all values / total number of values
mean (average)
True or False:
An experimental setup where both groups participate in the experiment rather than being split into separate groups (treatment and control) is a randomized comparative experiment.
False
Can you Spy the cases of this study?
In 2023, researchers at University of Michigan conducted a study on factors that impact college students’ academic performance. From 200 undergraduate students, they recorded each student’s gender, living situation (on-campus, off-campus), average hours of sleep per night, and semester GPA.
College Students
Use this 5 Number Summary to Calculate the Range:
13(min) , 24(Q1) , 41(Median) , 45(Q3) , 91(max)
78
One Quantitative: RollerCoasters (Duration in Sec.)
What is the Shape
Symmetrical Bell Shaped
proportion= number in category/ number of total sample size
Proportion
True or False:
Unbiased sample represent All of the Population.
False
Can you Spy the variables in this study?
In 2025, researchers at Texas A&M University investigated lifestyle factors affecting young adults' mental well-being. They surveyed 450 incoming freshmen and recorded each participant's college major, daily screen time (in hours), preferred social media platform, and a standard anxiety score measured on a scale from 1 to 100.
1.Daily Screen Time
2. College Major
3.Preferred Social Media Platform
4. Anxiety Score
Use the 5 Number Summary to Calculate the upper and lower outliers (round to the the nearest 2nd Decimals place in needed):
13(min) , 24(Q1) , 41(Median) , 45(Q3) , 91(max)
Bonus 50pts : IQR = 21
lower: -7.5
upper: 76.5
One Categorical: US Colleges-4e (Type of Degree)
What is the shape of the graph?
Skewed Right
Z= X-"X-Bar"/sd
z-score for a sample mean
True or False:
Words like "seems to", "tends to", or "might see" represent a casual association.
False
Can you Spy the explanatory and response variable?
A study examining employees across a variety of tech companies finds that employees who use a standing desk for more hours per day have fewer reports of lower-back pain (captured by yes I have back pain/no I don’t have back pain).
Standing more hours a day --> lower back pain
Assuming the mean is data value given is 24, the mean is "x bar" = 42.9 standard deviation is sd = 21.6 what is the calculation the z score?
-0.875
Bonus: Is this Extreme?
One Quantitative: Countries-4e (Birthrate):
What is the shape of the graph?
Skewed Right
Q3 - Q1
IQR (interquartile range)
Z-Scores above 2 are extreme.
True
Can you Spy a Confounding Variable?
A study examining employees across a variety of tech companies finds that employees who use a standing desk for more hours per day tend to have lower reports of lower-back pain (captured by yes I have back pain/no I don’t have back pain).
Exercise
Age
Etc. if you can justify both the explanatory and response
Assuming the mean is "x bar" = 42.9 and standard deviation is sd = 21.6 what is the calculation of the 95% interval?
-0.3 to 86.1
One Quantitative: Hollywood Movies 4e(Audience Score)
What is the Shape?
Skewed Left
"x bar" (+ AND -) 2(sd)
Calculating 95% Interval of a sample
True or False:
You need to solve for IQR before you can find an upper or lower outlier?
True
Can you Spy what type of study this is:
Based on results from a large survey of college students, a study claimed, “Taking breaks will lead to better test grades!” Evidence showed that students who reported taking short study breaks had higher grades. Meanwhile, students that did not had lower grades.
Observational
Assume we have a total of 7696 votes from a survey.
1435 were through the mail the rest were in person.
What is the proportion of people who voted in person?
0.81
Bonus: Is this P or "P Hat"
One Quantitative: April 14 Temps (4e Des Moines)
What is the 5 number summary?
32.6(min) , 41.200(Q1) , 54.500(Median) , 60.600(Q3), 74.9(max)