# 6.1 Comparing data & outliers

Good morning!
Schedule:
• Learning goals
• Review exercise
• Outliers
• Do some research!
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Slide 1: Tekstslide
WiskundeMiddelbare schoolvwoLeerjaar 3

In deze les zitten 12 slides, met tekstslides.

## Onderdelen in deze les

Good morning!
Schedule:
• Learning goals
• Review exercise
• Outliers
• Do some research!

#### Slide 1 -Tekstslide

Learning goals
At the end of these this lesson I can:
• Find the five point summary from a set of data
• Construct a boxplot from a set of data
• Find outliers from a set of data

#### Slide 2 -Tekstslide

Review exercise

Key: 1 | 5 | 3 means a student from class 1 got a score of 51 and a student from class 2 got a score of 53
1. Calculate the median and range for class 1 and class 2.
2. Calculate the IQR for class 1 an class 2

#### Slide 3 -Tekstslide

Review exercise

Key: 1 | 5 | 3 means a student from class 1 got a score of 51 and a student from class 2 got a score of 53
n = 28
Middle values = 14th and 15th

Median =

Range =

270+71=70.5
9545=50
Class 1

#### Slide 4 -Tekstslide

Review exercise

Key: 1 | 5 | 3 means a student from class 1 got a score of 51 and a student from class 2 got a score of 53
n = 28
Middle values = 14th and 15th

Median =

Range =

265+66=65.5
9141=50
Class 2

#### Slide 5 -Tekstslide

Review exercise

Key: 1 | 5 | 3 means a student from class 1 got a score of 51 and a student from class 2 got a score of 53
n = 28
Q2 = median =  70.5
Q1 =
Q3 =
IQR = Q3 - Q1 = 82.5 - 62 = 20.5

Class 1
|
2(61+63)=62
2(82+83)=82.5

#### Slide 6 -Tekstslide

Review exercise

Key: 1 | 5 | 3 means a student from class 1 got a score of 51 and a student from class 2 got a score of 53
n = 28
Q2 = median =  65.5
Q1 =
Q3 =
IQR = Q3 - Q1 = 75 - 55 = 20

Class 2
|
2(55+55)=55
2(74+76)=75

#### Slide 7 -Tekstslide

Outliers

<    Q1 - IQR x 1.5      Q1       Q2       Q3      Q3 +  IQR x 1.5   >
Outliers
Outliers

#### Slide 8 -Tekstslide

Outliers
17, 18, 20, 20, 21, 22, 23, 23, 24, 24, 24, 24, 25, 26, 26, 27, 27, 30, 46

Q1 = 21,  Q2 = 24, Q3 = 26

IQR = Q3 - Q1 = 26 - 21 = 5
Calculate if there are any outliers

#### Slide 9 -Tekstslide

Outliers
17, 18, 20, 20, 21, 22, 23, 23, 24, 24, 24, 24, 25, 26, 26, 27, 27, 30, 46
Q1 = 21,  Q2 = 24, Q3 = 26     IQR = 5
Minimum = Q1 - 1.5 x IQR = 21 - 1.5 x 5 = 13.5
There are NO values smaller than 13.5

Maximum = Q3 + 1.5 x IQR = 26 + 1.5 x 5 = 33.5
There is one value larger than 33.5

49 is an outlier

#### Slide 10 -Tekstslide

Take out your diaries

Homework for Monday 15-3-2021:
Practice 7 on p. 321-322:  #2, 4, 5

#### Slide 11 -Tekstslide

Let's do some research!
1. Go to Manageback and find the data from your survey's.
2. Choose one of the 3 categories to do your research on:
• Time spend on Physics homework
• Time spend on Math homework
• Time spend on English homework
3. Draw up a back-to-back stem-and-leaf diagram of your chosen data dividing male and female data, and a boxplot for both male and female data.
4. Calculate the five point summary and IQR for both male and female data.
5. Calculate whether there are any outliers in the data.