M1 1.11

​Using Desmos for Statistics

​When given a list of numbers and asked to find various statistics.

Start by going to Desmos and creating a list and giving it a name.

To the right, I have created to data lists and called them A and B.

Make sure to use the
"corner brackets" L = [ , , , , ]

and seperate the numbers with comas.

​Using Desmos for Statistics

​After you have created a list in Desmos, you need to tell Desmos what to do with those numbers.

stats( ) will give you the 5 number summary. Minimun, Q1, Median, Q3 and Max


I have found the 5 number summary for both the lists A and B

​Using Desmos for Statistics

​Turn to page 80 in your book.
1.

if you got that question wrong, double check your numbers are in Desmos correctly.

If change any of the numbers that stats numbers will change

Here comes more questions about Resturant A

​Using Desmos for Statistics

​Turn to page 80 in your book.
1.
If you recall the interquartile range or IQR is found by taking

Q3 - Q1

That is what the next question is going to ask you.

you can use Desmos to figure it out, go to an empty line and type in the two numbers with a minus sign between them

​Using Desmos for Statistics

​Turn to page 80 in your book.
1.

Ok now your are going to get questions about restuarant B

make sure you have the 5 number summary written down in your book.

​Using Desmos for Statistics

​Turn to page 80 in your book.
1.

now find the mean of the data from Restaurant A and Restaurant B


remember: mean is written with all small letters.
inside the parentheses should be
the letter of the data list

Write down both A and B's means

Multiple Choice

What is the mean for Restaurant A?

• 87.83

• 82.33

• 84.75

• 82.75

Multiple Choice

What is the mean for Restaurant B?

• 87.83

• 82.33

• 84.75

• 82.75

​Using Desmos for Statistics

​Turn to page 80 in your book.
2. Enter the lists of the two data sets

Find and then write down the mean, median, IQR of each restaurant under #2 in the book


make sure the numbers are in accurately

Match

Match the following for the two sets of data about the teachers

• 8

• 7.9

• 2

• 7

• 6.4

Teacher A

median

Teacher B

mean

Teacher B

IQR

Teacher A

IQR

Teacher A

mean

• Teacher A

  median

• Teacher B

  mean

• Teacher B

  IQR

• Teacher A

  IQR

• Teacher A

  mean

​Using Desmos for Statistics

​Turn to page 80 in your book.
3. Enter the lists of the two station data sets.

• ​do not include the dollar signs

• be careful, the comas and decimal points can get confusing.

• Take your time

​Find and then write down the mean, median, IQR of each station under #3 in the book

​Using Desmos for Statistics

​Turn to page 81 in your book.
1. Enter the list of data on one line is Desmos

​on the next line type:

histogram(A)

​Using Desmos for Statistics

​Turn to page 81 in your book.
1. Enter the list of data on one line is Desmos. you can drag the line of the typing area over to the right so you can see all the numbers if you want

on the next line type:

histogram(A)

​you should see something like this. click the bin alignment button to be left (not center)

​Using Desmos for Statistics

​Turn to page 81 in your book.
1. Click on the arrows at the top so you can just see the graphing area and you should see the histogram

​Using Desmos for Statistics

​here some reminders about distribution shapes.

• bell shaped: most data is in the middle

• Skewed most of the data is on one side, the skew is the other side

• bimodal : two peaks

• uniform: all about the same
  
  
  
  
  
  
  
  
  
  
  

Multiple Choice

how would you discribe the distribution of the histogram you made in desmos?

• skewed to the left

• skewed to the right

• symmetrical

• uniform

Multiple Choice

on the hisogram you just graphed in Desmos:

Which interval has the highest frequency?

• 3-4

• 1-2

• 2-3

• 4-5

​Using Desmos for Statistics

​Turn to page 81 in your book.
2. Create a data set in desmos L=[0,40,60,70,75,80,85,95,95,100]


then find the mean(L) and median(L) and write the down


Now remove the zero from the data set L=[40,60,70,75,80,85,95,95,100]

What happened to the mean and the median. Write it down

Multiple Choice

Given the data set L=[0,40,60,70,75,80,85,95,95,100]

What happened to the mean when the 0 was removed from the data set?

• mean went up

• mean went down

• mean stayed the same

Multiple Choice

Given the data set L=[0,40,60,70,75,80,85,95,95,100]

What happened to the mdian when the 0 was removed from the data set?

• median went up

• median went down

• median stayed the same

​Using Desmos for Statistics

​Turn to page 81 in your book.
3. Create a data set in desmos L=[2,2,4,4,5,5,6,7,9,15]


Find the 5 number summary

stats(L) Write the numbers down next to a.


What happens to the 5 number summary when the max 15 is removed?

Write down the 5 number summary next to b

What changed?

Multiple Select

After finding the 5 number summary for the data set

L=[2,2,4,4,5,5,6,7,9,15]

what happened when the 15 was removed from the data set?

Select all that are true

• Q1 changed

• Median changed

• Q3 changed

• Max changed

​Using Desmos for Statistics

​Turn to page 82 in your book.
4. See the histogram in the book

a. how would you describe the distribution?

Multiple Select

Fescribe the distribution of the histogram

select all that are true

• bimodal

• skewed to left

• skewed to right

• symmetrical

​Using Desmos for Statistics

​Turn to page 82 in your book.
5. Look at the box plot


notice how most of the data is on one side

that one whisker is much longer than the other

The extra stuff away from where most of the data is causing a skew

Multiple Choice

How would you describe the distribution of the box plot

• skewed to the left

• skewed to the right

• symmetrical

• uniform

​Using Desmos for Statistics

​Turn to page 82 in your book.

6. skip this question. It is impossible to find the mean or median because we cannot know for sure what the exact numbers of the data are. For a,b,c,d write cant do it

​Using Desmos for Statistics

​Turn to page 83 in your book.

7. Describe the distribution of the histogram. Notice that most of the data is on one side with some extras on the other side.


the extra stuff is causing a skew

Multiple Choice

Describe the distribution

• skewed to the right

• skewed to the left

• symmetric

• bimodal

​Using Desmos for Statistics

​here some reminders about distribution shapes.

• bell shaped: most data is in the middle

• Skewed most of the data is on one side, the skew is the other side

• bimodal : two peaks

• uniform: all about the same
  
  
  
  
  
  
  
  
  
  
  

Multiple Choice

How is the graph distributed?

• Normally

• Skewed to the Left

• Skewed to the Right

• Uniform

Multiple Choice

How is the graph distributed?

• Normally

• Skewed to the Left

• Skewed to the Right

• Uniform

Multiple Choice

Which best describes the shape of the histogram?

• uniform

• unimodal

• bimodal

• skewed right

Multiple Choice

Which of the numbers below is NOT part of a 5 number summary used to create a boxplot?

• minimum

• first quartile

• mean

• third quartile

• maximum

Multiple Choice

Which interval shows the greatest number of pets?

• 15-19

• 0-4

• 5-9

• 10-14

Multiple Choice

1. Which of the following best describes the process of finding the range for a set of data?

• ADD the biggest and smallest numbers

• Place the number in order from least to greatest then find the middle.

• Find the difference between the Maximum and the Minimum.

• Find the average.

Multiple Choice

2. Which of the following best describes the process of finding the interquartile range for a set of data?

• ADD the biggest and smallest numbers

• Place the number in order from least to greatest then find the middle.

• Find the difference between the Maximum and the Minimum.

• Subtract Q3 from Q1

Multiple Choice

4. Which of the following lists all parts of the five number summary?

• Mean, Median, Mode, Range, and Total

• Minimum, Quartile 1, Median, Quartile 3, and Maximum 

• Smallest, Q1, Q2, Q3, and Q4

• Minimum, Maximum, Range, Mean, and Median

Multiple Choice

The histogram shows the numbers of transactions made per day at this ATM (cajero), on the last days.

How many days the ATM registered between 80-90 transactions?

• 8

• 20

• 4

• 450

Multiple Choice

The median of a data set can be found by...

• subtracting the minimum from the maximum

• choosing the middle number

• choosing the number that occurs most

• finding the sum of the numbers and then dividing by the total amount of numbers in the data set

Multiple Choice

The mean of a data set can be found by...

• subtracting the minimum from the maximum

• choosing the middle number

• choosing the number that occurs most

• finding the sum of the numbers and then dividing by the total amount of numbers in the data set

Multiple Choice

Which has a higher median?

• Florida

• Texas

Multiple Choice

Which has a lower IQR? (Interquartile Range)

• Florida

• Texas

Multiple Choice

Describe the shape of the data.

• Symmetrical

  Bell shaped

• Skewed Left

• Skewed Right

• Uniform

Multiple Select

Which of the following are true about the IQR? Check all that apply.

• IQR = Q3 - Q1

• IQR = Q1 - Q3

• IQR stands for interquartile range

• The IQR stands for internal quotient result

Multiple Choice

What is the median of the data?

• 200

• 100

• 90

• 140

Multiple Choice

Which city has a higher median?

• Millersburg

• Arcadia

Multiple Choice

7. What is Millersburg's Q3 value?

• 200

• 260

• 220

• 140