Material AICLE Secundaria 2º E.S.O. : ANCIENT GREECE 3Material AICLE 2º de ESO: Statistics: Real Mathematics (Solucionario)

DEFINITIONS

Collection of information, gathered by observation, measurement, etc.

Data with possible values that cannot be counted.

Data with finite or limited number of possible values (can be counted).

Data that can be expressed by numbers. Data that cannot be expressed by

numbers.

EXPRESSIONS

Data

Qualitative data

Quantitative data

Discrete data

Continuous data

SOLUTIONS

Would you like to know the solutions of some of the exercises?? Here you

are…

Basic concepts… how is your memory?

2) a) The science related to the collection, organization, presentation, interpretation and analysis of data is called statistics. A statistic is a single value that gives information about a characteristic studied in a set of individuals called population. When it is very expensive to study the characteristic in every individual of the population or it takes so much time, you can study it only in some members of the population. This set of number is called sample. b)

The characteristic you are studying is the amount of time your neighbors spend having breakfast.

The population is the set of neighbors you are considering. You need/don’t need to take a sample because there are NOT

many neighbors to ask, surely. You choose the members of the sample trying to obtain reliable

results from the study.

3)

too

members

Material AICLE Secundaria 2º E.S.O. : ANCIENT GREECE4 Material AICLE 2º de ESO: Statistics: Real Mathematics (Solucionario)

4) a) Continuous quantitative data.

b) Qualitative data.

c) Discrete quantitative data.

d) Qualitative data.

e) Continuous quantitative data.

Organize and you will see!

1)

a) Six people.

b) Seven people.

c) Five minutes.

d) (…) there are several possibilities.

2)

a) 0, 5, 6, 7, 8, 9, 15

b) 6, 8, 1, 2, 1, 2, 1

3)

a)

Values (in minutes) Number of people 0 6 5 8 6 1 7 2 8 1 9 2

15 1 Total=21

Material AICLE Secundaria 2º E.S.O. : ANCIENT GREECE 5Material AICLE 2º de ESO: Statistics: Real Mathematics (Solucionario)

4)

b)

Time having breakfast (in minutes)

Absolute frequencies Relative frequencies

0-5 6 0.3 5-7 8 0.4 7-9 3 0.15

9-16 3 0.15 Total=20 Total=1

5) The frequency tables are:

Study I

Times Absolute frequencies Relative frequencies 2 1 0.0666… 3 6 0.4 4 5 0.333… 5 3 0.2 Total=15 Total=1

Study II

Answers Absolute frequencies Relative frequencies YES 3 0.25 NO 6 0.5

SOMETIMES 3 0.25 Total=12 Total=1

Study III

Hours a week Absolute frequencies Relative frequencies 0-1 9 0.40909090… 1-2 3 0.13636363… 2-3 3 0.13636363… 3-4 4 0.181818… 4-5 2 0.090909… 5-6 0 0 6-7 1 0.0454545…

Total=22 Total=1

Material AICLE Secundaria 2º E.S.O. : ANCIENT GREECE6 Material AICLE 2º de ESO: Statistics: Real Mathematics (Solucionario)

An image is worth a thousand words!

1)

3) b)

How many individuals are there? The angle for the total population/sample is 360º. The absolute frequency for the value “0” minutes is 6. The angle of the sector for the value “0 minutes” is

(360/20)·6=108º. The angles for the others sectors are: The pie chart is:

Bar chart Pie chart

Pictogram

Material AICLE Secundaria 2º E.S.O. : ANCIENT GREECE 7Material AICLE 2º de ESO: Statistics: Real Mathematics (Solucionario)

Calculate and you will know:

3) a) 7 hours. b) 7 hours. c) 7.5 hours. d) 6 minutes.

4)

Study I Mean: 3.666… times Mode: 3 times Median: 4 times

Study I Mean: NO Mode: NO Median: NO

Study I Mean: 2.0909…h Mode: 0.5h Median: 1.5h