Relative Frequency Worksheets
One of the very first concepts we come across in statistics is the concept of frequency. This is simply how often something occurs. In the sense of a data set it is the number of times a data value appears. We are now looking at a slightly different aspect of this measure. Relative frequency is a measure that looks how often something occurs against the total number of occurrences. To put this in terms you may be familiar with, what if we looked at the number of students that got an A on the last math test. We could say the total number of students to get an A was 4. This does not indicate how difficult the test was. The relative frequency could indicate that for us. If only 8 students took the test, that would mean a great percentage of the students did very well. On the other hand, if 200 students took the test that would mean that not many people did very well on the test. These worksheets and lessons will help students become familiar with this concept and how to apply it to larger data sets.
Aligned Standard: Grade 8 Statistics & Probability - 8.SP.A.4
- Tax Payers Step-by-Step Lesson- I never knew so many people didn't pay federal income tax until I did this problem background research.
- Guided Lesson - I'm still trying to figure out what sport they are playing in number 1. My guess would be cricket or maybe rugby?
- Guided Lesson Explanation - Everything in this section can be explained by simple percentage calculations.
- Independent Practice - The studies in this one are extremely unique from what I would expect.
- Matching Worksheet - Match the percentages to the data tables that explain them.
- Answer Keys - These are for all the unlocked materials above.
Homework Sheets
The homework scenarios took up a great deal of time, just to figure out where I wanted to go with them.
- Homework 1 - The table shows the number of people from two offices that donated to the cancer fund.
- Homework 2 - The table below shows the population of Florida and Georgia in years 2000 and 2001. Calculate the percentage increase of the population in Georgia between 2000 and 2001.
- Homework 3 - The table shows the number of players who are playing in playoff games. Calculate the percentage of English players who play in playoff games.
Practice Worksheets
Remind students that all the data is taking from surveys, so you have somewhat incomplete data sets.
- Practice 1 - 120 people from city X and 70 people from city Y were surveyed. The study asked people if they use unleaded gas or diesel fuels in their cars. Calculate the percentage of city X that use unleaded gas?
- Practice 2 - Students from Miami were asked is they would rather live in Chicago or London in year 2005 and 2006. Calculate the popularity of Chicago (as a percentage) in year 2005.
- Practice 3 - Organization x is conducting a survey in which they are looking for people smaller than four and half feet. Find the percentage that is men in city B.
Math Skill Quizzes
This is a good lead in to polling and statistics skills.
- Quiz 1 - The table below shows data collected from Stanley Memorial School. It tracks the passing and failing marks on the recent test for grades Three and Five. Find the percentage of students who passed the Grade 3 test.
- Quiz 2 - The table below shows the number of students of class 6 and class 7 that purchase pencils routinely. Calculate the percentage of students from class 6 that purchase pencils regularly.
- Quiz 3 - The table shows the number of students who are interested in being members of the singing group. Find the percentage of girls who do not want to be members of singing group.
How to Spot Clear Patterns in Data Tables
The majority of the advanced analytics depends on the skill of identifying patterns in the data. For example, whether there is any link that exists between two or more variables or whether a particular group is showing some attributes. This can be a very critical and valuable skilled position at most companies across the world.
Patterns are identified to generalize a conclusion on a wide population. A pattern is usually something that repeats itself again and again or a process that is taking place at regular intervals. Suppose you have a group of males that like ice cream and a group of females that like ice cream too. You can see that all males under the age of 18 eat ice cream more than 10 times a week, while the patten for females under the age of 18 eats it 20 times. For all individuals over the age of 18, the preference for eating ice cream is more or less the same. It can be identified that females have more likeness towards ice cream than men. This observation was made based on the pattern that was seen on the provided data.
The skill of pattern recognition was once reserved to humans, but in modern society it has slowly transitioned to be something that computers do under the direction of humans. The fact that computers do not need to sleep or ever stop, unless there is a power outage, makes them a better candidate for pattern recognition. With the birth of artificial intelligence and machine learning their primary responsibility has been pattern recognition.