6.1 categorizing and displaying data/measures of central tendencies

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 3

Good morning!

Schedule: 

• Introduction 
• Learning goals
• Representing sets of data
• Homework
• Practice

Learning goals 

At the end of this lessons I can:

• Sort data in qualitative or quantitative data
• Sort quantitative data in discreet or continuous data
• Draw and read a stem-and-leaf diagram
• Calculate the measures of central tendency of any data

Statistics

Representing sets of data

Qualitive data: data describing a certain characteristic

Quantative data: data with a numerical value 

        Discrete data                                                   Continuous data

                                     

Representing sets of data

Qualitive data: data describing a certain characteristic

ex: color of each car passing by

Quantative data: data with a numerical value 

        Discrete data                                                   Continuous data

                                     

Write on one side of the whiteboard "qualitative" and on the other side "quantitative" . 

	Qualitative	Quantitative	Discrete	Continuous
1
2
3
4
5
6
7
8
9
10

	Qualitative	Quantitative	Discrete	Continuous
1		x	x
2		x		x
3	x		-	-
4		x	x
5		x		x
6		x		x
7		x	x
8		x		x
9		x	x
10	x		-	-

Stem-and-leaf diagram

Stem-and-leaf diagram

Stem and leaf worksheet

Measures of central tendency

Mode: The value that occurs most often 

Median: The middle value (when the data is put in order)

Mean: The average for the dataset

Measures of central tendency

Median: The middle value (when the data is put in order)

n = amount of values  

When n = odd

​2​​(n+1)​​

Median =           th value

n = 19

Measures of central tendency

Median: The middle value (when the data is put in order)

n = amount of values 

When n = even: 

Median =           th value

Take average of the middle values

​2​​(n+1)​​

n = 30

Mode =

Median = 

Range = 

Key: 6|4 represents a score of 64

90

74

86

84

58

44

Take out your diaries 

Homework for Tuesday 7-2-2023:

              Practice 2 on p.308-309: #3,4

             Practice 3 on p. 310-311: ALL

How do you feel about this subject? 

Green              I would like a challenge

Orange           I would like to have some more practice

Red                  I would like to have some more practice and some  more help

Measures of dispersion

Range: The difference between the largest and smallest value