Welcome to the statistics and probability page at Math-Drills.com where there is a 100% chance of learning something! This page includes Statistics worksheets including collecting and organizing data, measures of central tendency (mean, median, mode and range) and probability.

Students spend their lives collecting, organizing, and analyzing data, so why not teach them a few skills to help them on their way. Data management is probably best done on authentic tasks that will engage students in their own learning. They can collect their own data on topics that interest them. For example, have you ever wondered if everyone shares the same taste in music as you? Perhaps a survey, a couple of graphs and a few analysis sentences will give you an idea.

Statistics has applications in many different fields of study. Budding scientists, stock market brokers, marketing geniuses, and many other pursuits will involve managing data on a daily basis. Teaching students critical thinking skills related to analyzing data they are presented will enable them to make crucial and informed decisions throughout their lives.

Probability is a topic in math that crosses over to several other skills such as decimals, percents, multiplication, division, fractions, etc. Probability worksheets will help students to practice all of these skills with a chance of success!

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## Mean, Median, Mode and Range Worksheets

Worksheets for students to practice finding the mean, median, mode and range or number sets.

Calculating the mean, median, mode and range are staples of the upper elementary math curriculum. Here you will find worksheets for practicing the calculation of mean, median, mode and range. In case you're not familiar with these concepts, here is how to calculate each one. To calculate the mean, add all of the numbers in the set together and divide that sum by the number of numbers in the set. To calculate the median, first arrange the numbers in order, then locate the middle number. In sets where there are an even number of numbers, calculate the mean of the two middle numbers. To calculate the mode, look for numbers that repeat. If there is only one of each number, the set has no mode. If there are doubles of two different numbers and there are more numbers in the set, the set has two modes. If there are triples of three different numbers and there are more numbers in the set, the set has three modes, and so on. The range is calculated by subtracting the least number from the greatest number.

Note that all of the measures of central tendency are included on each page, but you don't need to assign them all if you aren't working on them all. If you're only working on mean, only assign students to calculate the mean.

### Determining Mean, Median, Mode and Range from **Sorted lists** of numbers

In order to determine the median, it is necessary to have your numbers sorted. It is also helpful in determining the mode and range. To expedite the process, these worksheets include the lists of numbers already sorted.

### Determining Mean, Median, Mode and Range from **Unsorted lists** of numbers

Normally, data does not come in a sorted list, so these worksheets are a little more realistic. To find some of the statistics, it will be easier for students to put the numbers in order first.

## Collecting and Organizing Data

Collecting and organizing data worksheets including line plots and stem-and-leaf diagrams.

Teaching students how to collect and organize data enables them to develop skills that will enable them to study topics in statistics with more confidence and deeper understanding.

### Constructing **line plots** from **smaller data sets**

### Constructing **line plots** from **larger data sets**

## Interpreting and Analyzing Data Worksheets

Interpreting and analyzing data worksheets including worksheets with stem-and-leaf plots, line plots and various graph types.

Answering questions about graphs and other data helps students build critical thinking skills. The versions with no questions are intended for those who want to write their own questions and answers.

### Questions about **Stem-and-leaf plots**

Standard questions include determining the minimum, maximum, range, count, median, mode, and mean.

### Questions about **Line plots**

Standard questions include determining the minimum, maximum, range, count, median, mode, and mean.

### Questions about **Circle Graphs**

## Probability Worksheets

Probability worksheets including probabilities of dice and spinners with various numbers of sections.

### Probability with **Number Spinners**

Spinners can be used for probability experiments or for theoretical probability. Students should intuitively know that a number that is more common on a spinner will come up more often. Spinning 100 or more times and tallying the results should get them close to the theoretical probability. The more sections there are, the more spins will be needed.

### Probability with **Non-Numerical Spinners**

Non-numerical spinners can be used for experimental or theoretical probability. There are basic questions on every version with a couple extra questions on the A and B versions. Teachers and students can make up other questions to ask and conduct experiments or calculate the theoretical probability. Print copies for everyone or display on an interactive white board.

**Animal**Spinner Probability (

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**Letter**Spinner Probability (

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**Color**Spinner Probability (

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**Animal/Letter**Combined Spinner Probability (

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**Animal/Letter**Combined Spinner Probability (

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**Animal/Letter/Color**Combined Spinner Probability (

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**Animal/Letter/Color**Combined Spinner Probability (

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**Animal/Letter/Color**Combined Spinner Probability (

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