## Mean, Median, and Range From Data Displays

#### Aligned To Common Core Standard:

**Grade 6 Statistics** - 6.SP.A.2

How to Spot the Mean, Median, and Range from Data Displays?
By the time a kid gets promoted to the third grade, he or she has an idea as to how to display data using charts. In grade four, they are introduced to the use of tally chart and line plots. They now have the skills to extract data from these charts and plots.
Now that you know how to use these tools of data display, you can use it to calculate the mean, median, and mode.
**Mean:** Mean is also known as the average value of the entire data. Calculating the mean is simple. You multiply each value in the data with its frequency and sum it. After summing the data, you divide by the total frequency. It is how you can calculate mean using data display.
[Sigma f(x)] / Sigma f :::
Here, f is frequency, and x is the value in the data.
**Median:** The middle value of the entire data is median. There are two conditions that we have to consider when calculating the median, either the total number of values in the data are even, or the total number of values in the data is odd.
For even number of terms you divide the total frequency by 2.
Median terms: (Total number of terms)/2,(Total number of terms )/2 + 1
These are the median terms; you can count the frequency and locate the median values.
For an odd number of terms, you divide the total frequency by 2.
Median terms: (Total number of terms)/2
The answer you get is the median term number; you can count the frequency and locate the median value.
**Mode:** The most frequently repeated value in the data is the mode of the data. You can simply count the tally or frequency for each value and find the mode.

### Printable Worksheets And Lessons

- Box Charts Step-by-step
Lesson- Determine the central tendency of data in a box chart
form.

- Guided Lesson - Finding
the median amount of RAM in computers at the computer lab... I sometimes
wonder why people refer to me as a "geek". I get it now!

- Guided Lesson Explanation
- I never remember using an equation to find the median of a set,
but this one really works.

- Practice Worksheet - A
serious sack of questions that will help you master the concepts
of all skills.

- Matching Worksheet - In this one I throw a bunch of data driven charts at you. You will like it.

#### Homework Sheets

These popping up all the time on State level tests these days.

- Homework 1 - The dot plot shows the number of oranges each person ate. Describe the data by explaining the mean.
- Homework 2 - The "mean" is the average of the data> To calculate the mean, add up all the data and then divide by the number of instances of data you have.
- Homework 3 - Alan has 7 baskets that have different amounts of apples in them. The amounts were: 4 KG 2 KG 1 KG 5 KG 3 KG 2 KG 3 KG What was the median size of the apple baskets?

#### Practice Worksheets

This should give students more than enough practice on this skill.

- Practice 1 - The school teacher made a graph showing the scores (out of 9) of the students. What is the median of the data set?
- Practice 2 - This is a list of the number of toys each child has. What is the mean number of toys?
- Practice 3 - The cooking teacher made a table showing the number of cookies each person made. What is the range of the cookies made by each person?

#### Math Skill Quizzes

These questions were all created by my grandkids. They are pretty good too!

- Quiz 1 - The dot plot shows the number of mangoes each person ate. Describe the data by explaining the mean.
- Quiz 2 - The hockey coach made a graph showing the number of goals scored by his players. What is the median of the data?
- Quiz 3 - The table shows the number of points each student gets on the exam. What is the range for the data set?