Mean, Median, Mode, Range, Outlier Lesson

Unit 3

Are you ready? Let's Quizizz!

Unit 3 Topics

• Measures of Center (mean, median, mode, range, outlier)

• Frequency and Frequency Tables

• Venn Diagrams (this lesson seemed to be extra tough for students)

• Stem-and-Leaf Plots

• Box-and-Whisker Plots

• Scatter Plots

• Bivariate Data

Unit 3 Topics (continued)

• Modeling with Lines

• Circle Graphs

• Relative Frequency

• Random Samples and Surveys

• Estimating Population Size

Woah! That was a lot, right?

Yes, it was. This Unit had A LOT of topics and the Test was long! Now, let's get started on improving your Unit 3 Test grade!

Mean, Median, Mode, and Range

When finding Mean, Median, Mode, and Range, it is best to start by ordering your data from least to greatest!

Let's take a look at our first problem.

What are the mean, median, mode, and range of the data set 18, 19, 20, 21, 23, 26, 26, 26?

What are the mean, median, mode, and range of the data set 18, 19, 20, 21, 23, 26, 26, 26?

• Notice the data set is already ordered from least to greatest.

• Mean - find the sum & then divide by the amount of numbers in the data set (hint: there are 8 numbers in the data set).

• Median - the middle number (hey diddle diddle, the median is in the middle)

• Mode - which number occurs Most Often

• Range - the difference between the highest and the lowest.

• Take a few minutes to find the answers. You will answer on the next slide.

What are the mean, median, mode, and range of the data set 18, 19, 20, 21, 23, 26, 26, 26?

Notice the data set is already ordered from least to greatest.

What are the mean, median, mode, and range of the data set 18, 19, 20, 21, 23, 26, 26, 26?

Let's find the Mean! Find the sum & then divide by the amount of numbers in the data set (hint: there are 8 numbers in the data set).

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*Write down your answer - you will need it in a few minutes.

What are the mean, median, mode, and range of the data set 18, 19, 20, 21, 23, 26, 26, 26?

Let's find the Median! The Median is the middle number (hey diddle diddle, the median is in the middle)!

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*Write down your answer - you will need it in a few minutes.

What are the mean, median, mode, and range of the data set 18, 19, 20, 21, 23, 26, 26, 26?

Let's find the Mode! The MOde is the number occurs Most Often

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*Write down your answer - you will need it in a few minutes.

What are the mean, median, mode, and range of the data set 18, 19, 20, 21, 23, 26, 26, 26?

Let's find the Range! The range the difference between the highest and the lowest. Remember, that difference means you're subtracting!

*Write down your answer - you will need it in a few minutes.

What are the mean, median, mode, and range of the data set 18, 19, 20, 21, 23, 26, 26, 26?

Are you ready? We're going to provide our answers on the next slide!

Multiple Select

What are the mean, median, mode, and range of the data set 18, 19, 20, 21, 23, 26, 26, 26? Select all that apply!

• Mean: 22.375

• Median: 22

• Mode: 26

• Range: 8

• Median: 26

Given the data 12, 39, 21, 18, 24, 17, 12, 25, what is the outlier? 

Remember, our first step is to order our data from least to greatest.

Given the data 12, 39, 21, 18, 24, 17, 12, 25, what is the outlier? 

12, 12, 17, 18, 21, 25, 39

Multiple Choice

Given the data 12, 39, 21, 18, 24, 17, 12, 25, what is the outlier?

• 12

• 17

• 39

• 42

Line plot

A line plot is a graph that shows the shape of a data set with X's above each data value on a number line.

Line plot

The data below represent the ages of the first ten people in line at the movie theater. Which line plot represents the data?

22, 30, 23, 22, 27, 27, 29, 23, 30, 22

Line plot

The data below represent the ages of the first ten people in line at the movie theater. Which line plot represents the data?

22, 30, 23, 22, 27, 27, 29, 23, 30, 22

Remember our first step is to order our data from least to greatest!

Line plot

The data below represent the ages of the first ten people in line at the movie theater. Which line plot represents the data?

22, 30, 23, 22, 27, 27, 29, 23, 30, 22

Remember our first step is to order our data from least to greatest!

22, 22, 22, 23, 23, 27, 27, 29, 30, 30

Line Plot

Now that we have them ordered from least to greatest, we can use this to help us identify the appropriate line plot.

22, 22, 22, 23, 23, 27, 27, 29, 30, 30

Look at how many 22's you have - there are 3 22's. Look for the line plot that has 3 x's above the 22.

Multiple Choice

The data below represent the ages of the first ten people in line at the movie theater. Which line plot represents the data?

22, 30, 23, 22, 27, 27, 29, 23, 30, 22

Here's the data ordered from least to greatest:

22, 22, 22, 23, 23, 27, 27, 29, 30, 30

Stem-and-Leaf Plots

a convenient way to organize data using numerical order and place value. The digits to the left of the ones digits are called the stems; the ones digits for each stem are called the leaves

Stem-and-Leaf Plots

as with our other data sets, it's helpful to order the data from least to greatest before putting it into a stem-and-leaf plot.

Which stem-and-leaf plots represents the data 109, 60, 77, 54, 63, 84, 93, 65, 58, 97, 113? 

First, let's order the data from least to greatest.

Which stem-and-leaf plots represents the data 109, 60, 77, 54, 63, 84, 93, 65, 58, 97, 113? 

Now that the data is ordered from least to greatest, you can easily identify the stems and the leaves.

* Get ready to select the correct answer . . .

Multiple Choice

Which stem-and-leaf plots represents the data 109, 60, 77, 54, 63, 84, 93, 65, 58, 97, 113?

• Graph A

• Graph B

• Graph C

Scatter Plots

A graph that displays a collection of data points that shows relationships or trends between the two data sets.

You can use a scatter plot to look for a pattern of association (a trend) between two data sets. One of the values is shown on the x axis and the other is shown on the y axis of a coordinate plane.

Scatter Plots

The scatter plot shows the population of a village over time. The y-axis (or P) represents population and the x-axis (or t) represents time. Describe the relationship between the population of the village and time.

_{Is the population roughly staying the same over time? Is the population increasing or decreasing over time?}

Multiple Choice

The scatter plot shows the population of a village over time. The y-axis (or P) represents population and the x-axis (or t) represents time. Describe the relationship between the population of the village and time.

• The population remans roughly the same over time.

• The population is increasing over time.

• The population is decreasing over time.

• None of these

Finding a missing number from a data set.

The mean of a set of four test scores is 85. If three of the test scores are 81, 83, and 85, what is the fourth test score?

Now that we've solved for x, we can go back to answer our original problem.

The mean of a set of four test scores is 85. If three of the test scores are 81, 83, and 85, what is the fourth test score?

Multiple Choice

The mean of a set of four test scores is 85. If three of the test scores are 81, 83, and 85, what is the fourth test score?

• 589

• 81

• 91

• 489

Circle Graphs

When finding the central angle, you need to find the percent and then multiply by 360 (degrees) to find the central angle for a particular part of of the graph.

Circle Graph Problem

A survey of 594 students about the sports program at school finds the following results:

495 students like the program.

99 students think the program is inadequate.

If a circle graph were made from the data, what would the measure of the central angle be for the group that thinks the program is inadequate?

What should we do first?

Our first step is to find the total number of students.

Open Ended

How many total students are there?

Open Ended

Next, we need to find how many students think the program is inadequate. How many students think the program is inadequate?

Open Ended

Let's write our ratio (fraction) of the number of students that think the program is inadequate to the total number of students that think the program is inadequate to the total number of students.

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Let's turn that fraction into a decimal! Remember, we divide numerator by denominator to turn it into a decimal!

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Now that we have our ratio in decimal form, we can multiply it by 360 degrees to find our central angle. 

Now that you've multiplied, you have the central angle for the group that thinks the program is inadequate. Are you ready to select your answer on the next slide?

Multiple Choice

A survey of 594 students about the sports program at school finds the following results:

495 students like the program.

99 students think the program is inadequate.

If a circle graph were made from the data, what would the measure of the central angle be for the group that thinks the program is inadequate?

• 57.6 degrees

• 58 degrees

• 58.6 degrees

• 60 degrees

Frequency Tables

are tables that shows data values grouped into intervals and the frequency for each interval.

Based on the two-way frequency table, how many adults were surveyed? How many people chose peanut butter cookies? 

We have two questions to answer here.

How many adults were surveyed? How many people chose peanut butter cookies? 

Let's find the total number of adults.

How many adults were surveyed? How many people chose peanut butter cookies? 

Let's find the total number of adults.

How many adults were surveyed? How many people chose peanut butter cookies? 

Let's find the total number of people that chose peanut butter.

Now let's go back to our original question so we can answer it.

Based on the two-way frequency table, how many adults were surveyed? How many people chose peanut butter cookies?

Have your answer ready...you'll need it for the next slide.

Multiple Choice

Based on the two-way frequency table, how many adults were surveyed? How many people chose peanut butter cookies?

• 20 adults were surveyed; 14 people chose peanut butter cookies

• 19 adults were surveyed; 13 people chose peanut butter

• 14 adults were surveyed; 20 people choose peanut butter.

Let's use the same table to answer our next question.

What percent of the children chose oatmeal?

What percent of the children chose oatmeal?

The first thing we need to do is find the ratio of the amount of children that chose oatmeal to the total amount of children.

Multiple Choice

What percent of the children chose oatmeal?

• 0.02%

• 0.2%

• 2%

• 20%

Open Ended

What is our ratio of the children that chose oatmeal to the total number of children?

Now that we have our ratio, we need to turn it into a percent. 

Remember when you divide, you'll get a decimal and you need to turn that into a percent. Have your answer ready...

Open Ended

How did you do today vs. how you did the first time you took the test? Is there anything you could've done differently to be more successful this first time you took the test?

Send me a WebMail to let me know you've finished the Quizizz! I will get this graded as soon as I can!

Take a look at the feedback I left you for the short response questions! It would probably be helpful to make and submit a Correction Form to those 3 - 5 questions to improve your grade even more!

Open Ended

How do you feel about today's Quizizz compared to the first time you took the Unit 3 Test?