Processing And Representing Data Flashcards

1
Q

What is a database

A

A collection of information

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2
Q

What is a two way table

A

A table that shows information in two categories
E.g favourite drinks for boys and girls (not just people in general)

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3
Q

What is bivariate data

A

Data with two variables

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4
Q

What are pictograms

A

Tables that use images or symbols to represent a set number of items for each picture

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5
Q

What should you do when drawing a pictogram

A

Each picture needs to be the same size

Pictures can be easily divided to show different frequencies

Spacing between pictures is the same in each row

Write a key

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6
Q

How do you structure bar charts

A

Height / length of the bar shows the frequency

Bars are equal width with equal spaces between them

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7
Q

What is a vertical line chart

A

A graph that uses vertical lines instead of bars

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8
Q

What do you need to do when drawing multiple bar charts.
E.g a dual bar chart

A

A key for what each bar represents

Ensure all bars are the same length

The different bars are all in the same group and touching

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9
Q

What is a composite bar chart

A

A bar chart showing the total frequency of one category made from specific groups

The total frequency and frequencies in each group CAN be compared

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10
Q

What is a stem and leaf diagram

A

A diagram which splits numerical data into its stem and leaves
The numbers are written in numerical order

A key shows how to combine the stem and leaves to read the number

E.g 4|3 is 43

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11
Q

What is one benefit of a stem and leaf diagram

A

You can use it to show the shape of the data distribution
But
You can still see the original values

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12
Q

What is back to back stem and leaf diagram

A

Used to compare data

The stem is in the middle and two different data sets are on either side

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13
Q

When do you use a pie chart / what is a pie chart

A

Used to represent frequency
It is a way of displaying data when you want to show how something is shared / divided

The angles at the center of a pie chart add up to 360

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14
Q

How do you calculate the angle you need to use when drawing a pie chart

A

Divide 360° by the total frequency

Using this value multiply each individual frequency to find the angle

T/360 × f

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15
Q

What are comparative pie charts

A

Pie charts used to represent / compare data

The area of each pie chart is in the the same ratio as its frequencies

To compare the frequencies compare the areas

To compare proportions compare individual angles

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16
Q

Why are comparative pie charts used

A

Comparing two pie charts of the same size, but with different populations is misleading

17
Q

How do you calculate the radius of your second pie chart

A

R is radius
F is frequency

r¹^2 : r²^2 = f¹ : f²

r²/r¹ = √f² /√f¹

r² = r¹(√f²÷√f¹)

R¹ can be any value you chose

18
Q

What are population pyramids

A

Graphs that show the age groups in a population - usually divide by gender

19
Q

How are population pyramids drawn

A

You have two groups (e.g male and female)
Then you have your age grouping

The center starts at 0 and increases in equal intervals going in opposite directions

Then draw out to the frequencies on each side

20
Q

What is a chloropleth map

A

A map used to classify regions of a geographical area

Regions are shaded with an increasing depth in colour

A key shows what each colour represents

21
Q

Do cholorpleth maps have to be maps

A

No they can be a simple diagram

22
Q

What is a histogram

A

Similar to a bar chart but represents continuous data
Because of this there are no gaps between the lines

23
Q

What is a frequency polygon

A

A graph that joins the top mid points of histograms

24
Q

What is cumulative frequently

A

A running total of all the frequencies in each group

It adds up to the total frequency

25
Q

What is a cumulative step polygon

A

A diagram using cumulative frequency plotted on upper class boundaries

It is not drawn with a smooth curve

Draw a horizontal line to the upper bound then draw a vertical line to its value

26
Q

What is a cumulative frequency diagram

A

A diagram for grouped continuous data

The data points are drawn on the upper boundaries and a smooth curve is used to connect them

They can be used to predict values

27
Q

What Is the shape of distribution

A

The shape formed by the bars in a histogram or by a frequency polygon

28
Q

What are the 3 types of distribution

A

Positive skew - moat data values are on the lower end

Negative skew - most data values are on the higher end

Symmetrical - Distribution is symmetrical / it has no skew

29
Q

How are histograms for unequal class widths drawn

A

By adjusting the height of the bars so area represents frequency

The y axis is replaced by frequency density

30
Q

How do you calculate frequency densitu

A

Frequency / class width

31
Q

Using a histogram how do you estimate the number of people above a certain value

A

Add all the values of (frequency density × class width)

32
Q

When can you compare histograms

A

If they have the same class intervals and the same frequency density scales

33
Q

How can graphs be made to be misleading

A

Scales not starting at 0

Scales that do not increase by the same value each time

Lines on a graph being drawn too thick (hard to read value)

Axes without labels

Graphs and charts without keys

Colours can be used to make some parts stand out

34
Q

How can using 3D diagrams be misleading

A

It can make comparisons difficult

Some parts of the diagram can appear larger than others

It would be hard to see where the value should be read from

35
Q

Why is separating sections of the diagram
(E.g taking out a slice of the pie chart) misleading

A

It makes comparisons difficult

36
Q

What do bar charts and line graphs show

A

Trends and patterns in data - values can be read from a scale if its not too small

37
Q

What do pie charts show

A

Proportions, but not accurate values

38
Q

What do tables show

A

Exact values for different categories but does not show trend patterns as clearly

39
Q

Why do you need to clean data

A

To ensure the data has no missing values
Or to ensure the data is all in the format