Chapter 2 - Data Presentation Flashcards

1
Q

in statistics, do all data come in the form of numbers

A

no

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2
Q

what are the two groups main groups that data can be split into

A
  • categorical data
  • numerical data
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3
Q

what are categorical data also known as

A

nominal data

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4
Q

what is categorical data

A

it is data that do not take numerical data

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5
Q

what are examples of numerical data

A

gender, male or female

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6
Q

what is ordinal data

A

ordinal data is a type of data that can be placed in different categories of observations and used to provide order

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7
Q

what are examples of ordinal data

A
  • education level [ high school, bachelor’s degree, master’s, PHD]
  • Customer Satisfaction Rating [ very unsatisfied, unsatisfied, neutral, satisfied, very satisfied]
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8
Q

what is numerical data

A

numerical data is based upon the ability to measure specific items in the population or survey sample to determine a specific amount or quantity

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9
Q

what is numerical data also referred to as

A

quantitative data

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10
Q

what is discrete data

A

items that can be counted and then listed out [ number of …..]

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11
Q

what is continuous data

A

continuous data is data that can take any value over a range [ not restricted to whole numbers] usually the data is measurable

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12
Q

what is a example of continuous data

A
  • heights of students in a class
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13
Q

what is cardinal data

A

cardinal data is data can be directly measured and is the most relevant for quantitative analysis

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14
Q

what are examples of cardinal data

A

temperature [ 20deg, 25 deg, 30deg]

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15
Q

what are bar charts

A

a bar chart is the simplest type of chart to draw and read

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16
Q

what is the purpose of a bar chart

A

it is used to compare frequencies and values of different categories or groups

17
Q

what is different and important when drawing a bar chart

A
  • the length of the bar indicates the size of the category
  • in the bar chart, only the y-axis has a scale
  • the x- axis, on the other hand, is divided into categories
18
Q

how is a histogram used

A

a histogram is used to show the distribution of variables
[ in presentational terms, there are no gaps between the columns representing the different categories]

19
Q

what is a line chart

A

a line chart is an effective way of visualising trends in data over time

20
Q

what is a example when using a line chart is useful

A
  • for example, the sales of a company by month, over a six-month period
21
Q

what is a pie chart

A
  • we draw a circle to represent percentage of the total of all categories
  • given that a circle has 360 degrees, we simply apportion the circle to the components categories according to their relative importance
22
Q

how do we calculate the median

A

if a set of data is arranged in order of magnitude, the middle value which divides the set into two equal groups, is the median

23
Q

what is mode

A

mode is the item which occurs most frequently

24
Q

what is the formula to finding median

A

if N is the number of values in the dataset

[N +1]/2 => Median

25
what is the formula to find the lower quartile [Q1 / 25% ]
[ N +1]/ 4 items
26
what is the formula to find the upper quartile [ Q3/ 75%]
3[N +1]/4 items
27
what is range
range is the difference between the largest value and the smallest value in a set of data
28
what is the formula to find IQR
Q3 - Q1
29
what is quartile deviation
quartile deviation is the average of the differences of the quartiles from the median
30
what is the formula used to find quartile deviation
[ Q3 -Q1]/2
31
what is cumulative frequency
cumulative frequency is the running total of the frequencies
32
what is cumulative frequency called on a graph
cumulative frequency graph
33
what are the steps to plot a cumulative frequency graph
step 1 - set up a frequency distribution table step 2 - find the frequency for each class interval step 3 - locate the endpoint for each class interval step 4 - calculate the cumulative frequency by adding the numbers in the frequency column step 5 - record all results in the table step 6 - using the information gathered from the frequency distribution table to plot a graph
34
what do the Y-axis and the X-axis represent
Y-axis = cumulative frequency values X-axis = the upper class boundaries
35
what is the formula for estimating median using the graphical method
when cumulative frequency = n/2 [ when N is large]
36
what is the formula for estimating lower quartile using the graphical method
when cumulative frequency = n/4 [ when N is large]
37
what is the formula for estimating upper quartile using the graphical method
when cumulative frequency = 3/4 [ when N is large]
38
what are properties of a box plot
- the IQR can be shown using a box plot - it also contains horizontal lines which extend to the highest and lowest value in the data set n the data set
39
what is a Lorenz curve
a Lorenz curve is used to give a visual display of the degree if any given data