6.1 Comparing data and outliers pt.2

Good afternoon!
Schedule: 
  • Learning goals 
  • Problem solving
  • Describing data
  • Comparing data
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Slide 1: Tekstslide
WiskundeMiddelbare schoolvwoLeerjaar 6

In deze les zitten 18 slides, met interactieve quizzen en tekstslides.

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Good afternoon!
Schedule: 
  • Learning goals 
  • Problem solving
  • Describing data
  • Comparing data

Slide 1 - Tekstslide

Learning goals 
At the end of this lessons I can:
  • Describe the shape of a set of data 
  • Compare multiple sets of data 
  • Research data 

Slide 2 - Tekstslide

Problem solving strategies

Slide 3 - Woordweb

Problem solving

Slide 4 - Tekstslide

Problem solving
Problem solving strategies:
- Trial and Error
- Divide problem in smaller problems/steps
- Work backwards (start with the answer)
- Realize the problem (literally DO the problem)
- Organize your information differently (ex. Table)
- Use algebraic methods
- Change your perspective/view to gain new insights

Slide 5 - Tekstslide

What vocabulary could you use to describe a data set?

Slide 6 - Woordweb

What are the measures of dispersion?

Slide 7 - Woordweb

Measures of dispersion
Range: The difference between the highest and the lowest value if a data set 

Interquartile range(IQR): 
The difference between Q1 (quartile 1) and Q3 (quartile 3) of a data set
Data set: 
Range = 

Q1 = 

Q3 = 

IQR = 

Slide 8 - Tekstslide

Measures of dispersion
Range: The difference between the highest and the lowest value if a data set 

Interquartile range(IQR): 
The difference between Q1 (quartile 1) and Q3 (quartile 3) of a data set
Data set: 
Range = 

Q1 = 

Q3 = 

IQR = 
20-2 = 18
2(13+15)=14
2(5+6)=5.5
14-5.5 = 8.5

Slide 9 - Tekstslide

Measures of central tendency
Mean: The average of a data set
Mean = sum of all values/amount of values

Median: the middle value of a data set (when the data is in order)


Mode: The value in the data set that occurs most often 
Data set: 
1 2 3 3 4 4 5 5 5 6 7 

Find the mean, median and mode

Slide 10 - Tekstslide

Measures of central tendency
Mean: The average of a data set
Mean = sum of all values/amount of values

Median: the middle value of a data set (when the data is in order)


Mode: The value in the data set that occurs most often 

Slide 11 - Tekstslide

Describing data 
No modal value:
there is no mode
Bimodal:
there are 2 modes
Multimodal:
there are more than 2 modes
Unimodal:
there is 1 mode

Slide 12 - Tekstslide

Describing data (Mode)
Multimodal
Unimodal
No modal value
Bimodal

Slide 13 - Sleepvraag

Describing data (shape)
How is the data centered? 
- Centered on lower values? 
- Centered on higher values? 
- Evenly distributed? 
- Symmetrical?

Slide 14 - Tekstslide

Slide 15 - Tekstslide

Comparing data

- "Both classes had no outliers. Nobody scored extremely high or low on the test"
- "The median marks for class 1 is slightly higher than the median for class 2"
- " The IQR from both classes are very close. The middle 50% of both classes have a similar spread"

Slide 16 - Tekstslide

Take out your diaries 


Homework for Monday 11-10-2021:
                            Practice 6 on p. 318-320: #1, 3, 4, 5, 6


Slide 17 - Tekstslide

Continue with your research
1. Calculate the five point summary, IQR and outliers for both males and females. 
2. Describe the data for both males and females. 
3. Compare the male data with the female data. 
(4. Compare your data with the data of another group.)

Slide 18 - Tekstslide