## Summarizing Numerical Data Sets

#### Aligned To Common Core Standard:

**Grade 6 Statistics** - 6.SP.B.5a & b

How to Summarize Numerical Data Sets?
Reading and analyzing lengthy data takes a lot of time, as well as efforts. Therefore, kids are taught ways through which they can easily summarize the data, which can provide an insight into the trends of the data.
The ways in which you can summarize data 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.
**Method 1: Mean, Median, and Mode** -
A basic concept in statistics is mean median and mode. These help in summarizing data that can provide valuable insights into the data when needed.
Mean is also known as the average of the data. It can be easily calculated;
(sum of all values in a data set)/(number of values in a data set)
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 a data set)/2,(total number of values in a data set)/2+1
For Odd;
Median term number=(Total number of values in a data set)/2
Mode is the most frequently repeated value in a data set.
**Method 2: Visual Representation** -
Another method that you can use to summarize the data 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!
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 data.

### Printable Worksheets And Lessons

- 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 data 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.

#### Homework Sheets

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 data 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.

#### Practice Worksheets

We're basically jumping between data 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. Use the data in the frequency chart to make a histogram.
- Practice 2 - Riley is a tour guide. He recorded the age of members of his tour. Use the data 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?