6.1 Comparing data and outliers pt.2

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 6

Good afternoon!

Schedule: 

• Learning goals 
• Problem solving
• Describing data
• Comparing data

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 

Problem solving strategies

Problem solving

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

What vocabulary could you use to describe a data set?

What are the measures of dispersion?

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 = 

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

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

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 

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

Describing data (Mode)

Multimodal

Unimodal

No modal value

Bimodal

Describing data (shape)

How is the data centered? 

- Centered on lower values? 

- Centered on higher values? 

- Evenly distributed? 

- Symmetrical?

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"

Take out your diaries 

Homework for Monday 11-10-2021:

                            Practice 6 on p. 318-320: #1, 3, 4, 5, 6

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.)