Understanding Mean

Understanding Data Displays

Let's review.​

Multiple Choice

How many people voted altogether?

• 35

• 34

• 36

• 33

Multiple Choice

How many scores are listed in this Stem and Leaf Plot?

• 3
• 6
• 9
• 18

Multiple Choice

How many students spent 7 hours doing homework that week?

• 1
• 3
• 5
• 6

Multiple Choice

Is the value of 4 included in this data set?

• Yes

• No

Multiple Choice

How many cities have temperatures between 70 degrees and 99 degrees?

• 44

• 34

• 26

• 62

Working with Data​

​Write this on your notes page.

​summarizing

Understanding Mean​

Poll

MEAN - What do you think it means?

• Multiply, Exponents, Add, Numbers

• The average of a set of numbers.

Finding the average or mean is a way to share or even out a set of numbers.

​

Grades are a real life example of mean.​

​

​Why would mathematicians want to know the mean?

​The mean or average is a measure of center.

​

​The mean is sharing

Multiple Select

Finding the mean is a mathematical way to _____________ ,

Select all that apply.

• find a measure of center

• find the average

• find the nice numbers

• summarize the data

​Let's look at an example of finding the mean.

Multiple Choice

How could we calculate the Total score?

• add 10 + 11 + 12 + 13 + 14 + 15

• add 10 + 11 + 11 + 12 + 13 + 13 + 13 + 14 + 14 + 14 + 14 + 15 + 15

Open Ended

What is the total?

Open Ended

How many scores are there?

Open Ended

What is the mean?

​Write this on your notes page.

​The mean can have a decimal or a fraction!

Finding the mean from a dot plot.

​Write this on your notes page.

​Calculate the sum and write it on your notes page.

Multiple Choice

Now that we have the sum we divide by the number of values we have.

We need to divide by _____ .

• 4

• 8

• 7

• 6

Multiple Choice

Now divide the sum 43 by 7 to find the average.

Write the remainder as fraction.

• $$6\ \frac{1}{7}$$  

• $$6\ \frac{3}{7}$$  

• $$7\ \frac{6}{7}$$  

• $$6\ \frac{1}{43}$$  

Finding the mean with a frequency table.

​Organization is key...

Multiple Choice

Now find the sum.

You can show your work on the back of your notes page.

• 55

• 26

• 10

• 65

Multiple Choice

Show the division on your paper.

What is the mean?

• 2.6

• 6.5

• 5.7

• 5.5

Finding the mean from a stem and leaf plot.

Poll

Before we list the numbers on our paper:

Do you need to include zero?

• Yes

• No

Multiple Choice

Show your division on your paper.

The mean score is ____.

• 13

• 18

• 45

​You can find the mean with decimal numbers too!

​Let's find the mean

Multiple Choice

To find Mean, first add up all numbers, then...

• Multiply by the number of data

• Divide by the number of values

• Just take a nap

• Divide by the number of cats

Multiple Choice

What is the mean for these numbers?
5,5,5,5

• 5
• 20
• 15
• 100

Multiple Choice

Find the average of 62 & 63

• 62.5

• 63.5

• 123

• 60

Multiple Choice

Find the mean:
28, 18, 19, 18, 17

• 20
• 18
• 11
• 19

Multiple Choice

What is another word for AVERAGE?

• Mode

• Median

• Mean

• Not nice

Multiple Choice

If the data set includes a 0, do you have to count it?

• Yes

• No

• It depends

Multiple Choice

Dr. Dre is a dentist. He needs to report on the average number of cavities that his patients have. 1, 1, 0, 1, 5, 6, 3, 4

• 3.33
• 2.625

• 3
• 3.5

Multiple Choice

The formula for mean is

• $$mean\ =\ \frac{product}{size}$$

• $$mean\ =\ \frac{sum}{size}$$

Multiple Choice

What is the MEAN?

• 53.01

• 49.00

• 48.48

• 55.53