Statistics is all about collecting large amounts of data and then making sense of it. The more values that you collect, the more accurate or valid that your conclusion will be. When we collect maybe too much information it can simply overwhelm us simply because there are just too many values. When this is the case, we need to organize ourselves by summarizing the figures in a quick and basic foundational way. This worksheet and lesson series has students learning how to provide a quick sum up of a data set, helping the reader better understand the nature of the particulars.
Aligned Standard: Grade 6 Statistics - 6.SP.B.5a & b
- Using Averages Step-by-step Lesson- Troy has taken four tests and is trying to determine what he needs to score on his final test to make an average of 50. You have high aspirations fictional Troy!
- Guided Lesson - Find missing parts of data displays and missing parts of graphs.
- Guided Lesson Explanation - The one thing that I can walk over really quickly is making a graph. That skill should be second nature at this level.
- Practice Worksheet - Looks like the graph and chart fairy left some parts of the graphs out. Find those missing parts!
- Reading Histograms Five Pack - I tried to mimic standard tests. Outside of the use of color. That is just cool!
- Matching Worksheet - Take a well thought out race and make a number of inferences based on the data that you have.
- Answer Keys - These are for all the unlocked materials above.
These took me a really long time to write. I feel like they came out very well though.
- Homework 1 - For solving, we will calculate the total number of points needed to have an average of 50.
- Homework 2 - Smith recorded the number of burgers he sold over the last 5 weeks. What value is missing from the chart?
- Homework 3 - Foster sold roses. He sold the following number of roses over the last 7 days. Use the data in the frequency chart to complete the histogram below.
We're basically jumping between tables and graphs here. Make sure to take time to understand the data too.
- Practice 1 - Mr. Daniel has ten members in his family. He wants to record the amount of bananas each family member eats according to their age.
- Practice 2 - Riley is a tour guide. He recorded the age of members of his tour. Use the figures in the frequency chart to create a histogram.
- Practice 3 - Isaac records the age of all the people living in the apartment below him. Use the data in the frequency chart to make a histogram. How many people are living in the apartment below him?
Math Skill Quizzes
These are a real potpourri of skills on these quizzes.
- Quiz 1 - Liam likes candies. He created a table that shows how many candies he ate in 5 days.
- Quiz 2 - Sophia has a clothing shop. Last month she sold: Jeans 100, Shirt 150, T-shirt 50, Pants 50, Jacket 50
- Quiz 3 - Maya recorded the number of apples she ate in 5 days. On the 3rd day how many did she eat?
How to Summarize Numerical Data Sets?
Reading and analyzing lengthy data takes a lot of time, as well as effort. There are number of different tools which we can use to can easily summarize the statistics, which can provide an insight into the trends of the data. These tools help the numeric values tell us a story. We can uncover relationships that may normally hidden in a stream of data.
The ways in which you can summarize figures are even used in daily lives. Even the biggest multinational companies and businesses make use of these tools so that they can easily analyze data when needed. There are many opportunities for people in the workforce who can do this well.
We will explore the common means by which we can make sense of a long series of scalable data.
Method 1: Measures of Central Tendency
The basic metrics in statistics are the measures of mean, median, and mode. They help in summarizing statistics that can provide valuable insights into the data when needed. Mean is also known as the numeric average. It can be easily calculated; (sum of all values in the set)/(number of values in the set). This tells us what an average value of the group is. Median is a measure of the central value of a data set; To calculate the median, you have to see whether the total number of terms in data is even or odd. Once you know that, you can find out the term number of the median value; For even; median term number = (Total number of values in the set)/2,(total number of values in the set)/ 2 + 1. For Odd; Median term number = (Total number of values in the set)/2. Mode is the most frequently repeated value in the set. In some cases, mode can give a better understanding of something that is popular in the data set.
Method 2: Visual Representation
Another method that you can use to summarize the figures is through visually displaying the data. There are various ways that you can use including bar graphs, histograms, pie charts, stem-and-leaf plots, line plots, and many more! You can also use common charts and tables to help you organize yourself.