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Statistics: Confidence Interval Projects

I’m excited today to share the results of our confidence interval projects in statistics.

statistics confidence interval project

This year, I had the privilege to teach a non-AP statistics class for high school juniors and seniors who had finished Algebra 2 and were not enrolled in upper level math courses through our local technology center.  As a small high school, our math department offers 10 sections of math: 4 sections of Algebra 1, 3 sections of Geometry, 2 sections of Algebra 2, and 1 section of an advanced math elective.  Last year, the elective was College Algebra.  This year, it is Statistics.  Next year, it will be Trig/Pre-Calculus.  Our local technology center offers Pre-Calculus and AP-Calculus since many of the schools in our area are too small to offer those classes.

I had 5 juniors enrolled in my statistics class this year.  As one of our end-of-year projects, I asked students to ask a question about the population of students (168 students) at Drumright High School.  After getting their questions approved, students had to randomly select 35 students using the random number generator on their calculator and a list of all the students in the school that our school secretary kindly printed off for us.  Next, they found a way to find out how that student would answer their question.

Proof that we are a small school: my students did not have to actually come in contact with all of the students they randomly selected.  For example, one student wanted to know what proportion of DHS students play school-sponsored sports.  After doing his random selection, he could look at the list and instantly know which students were and were not enrolled in athletics.  For those students he was unfamiliar with, a quick question to the rest of the class gave him the information he needed.

The collected data was used to find their p-hat value.  I asked them to make sure the conditions were met to form a confidence interval.  And, I dictated that we would be finding a 95% confidence interval.  If the conditions were met, their task was to find the confidence interval and express their results on a mini-poster.  These posters contain only a summary of their work.  They showed all of their work in detail using the EMCCC model on a separate sheet of notebook paper.

I loved seeing how invested the students were in their confidence interval projects.  It was great to see them come up with their own questions, generate their own random samples, survey the students, perform the necessary calculations and analysis, and summarize their findings.

This has been my first time ever teaching statistics, so there are definitely a lot of things I would like to change in the future.  But, I’m so glad I got the chance to teach this course this year.  It’s been awesome to be able to expose my students to a new field of mathematics!    

Four out of my five students completed the confidence interval project.  Here are their questions and findings.

Statistics Confidence Interval Projects

What percent of DHS students own an iphone?

Statistics Confidence Interval Projects

What is the proportion of DHS students that have at least one full sibling?

Statistics Confidence Interval Project.

What proportion of DHS students participate in school athletics?

Statistics Confidence Interval Projects

What percent of DHS students plan on attending college in the near future?

This confidence interval project is hard to read because the information was written so small.

You can be 95% confident that the actual proportion of Drumright students planning to attend college is somewhere between 0.5132 and 0.8268.

Statistics Confidence Interval Projects


Sunday 24th of May 2020

Hi, I am making a similar project for my math final and I was wondering if I could get some tips to do it ? Is there any way I could reach you ?


Thursday 21st of November 2019

Thanks for sharing! I am in my first year of teaching statistics, so this gives me another solid idea for projects as I develop my class.

W. Larson

Monday 2nd of April 2018

I would love to see your hand-out as well, if you wouldn't mind sharing! Thank you for the great idea!

Sarah Carter (@mathequalslove)

Wednesday 9th of May 2018

I don't have a handout to share. Thanks for reading my blog, though!


Thursday 27th of April 2017

Hi......did this project have a handout with it? And if so would you mind sharing it?

Sarah Carter (@mathequalslove)

Wednesday 9th of May 2018

I don't have a handout to share, sorry!

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