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Level 4

Representation Of Data


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A stem and leaf diagram is used
To order and present data, revealing the general distribution shape and allowing quartiles to be found
Back to back stem and leaf diagrams are used
To compare two sets of data
An advantage of stem and leaf diagrams
Keeps detail of the data
A disadvantage of stem and leaf diagrams
Can be time consuming to produce
An outlier
An extreme value, outside of limits set (given in the question)
A box plot
Represents important features of the data. It shows the quartiles, max and min values, as well as any outliers
A histogram is useful for
Continuous, grouped data
The area of a histogram bar is proportional to
Frequency
Y axis of a histogram
Frequency density (frequency/class width)
X axis of a histogram
Class/variable value
The skew
The overall shape of the data collected
Symmetrical data
Q2-Q1=Q3-Q2
Positively skewed data
Q2-Q1<Q3-Q2, shift towards lower end of spectrum
Negatively skewed data
Q2-Q1>Q3-Q2, shift towards upper end of spectrum
Symmetrical
Mode=median=mean
Positive skew
Mode<median<mean
Negative skew
Mode>median>mean
To calculate skew
3(mean-median)/standard deviation
To compare data sets
Give measures of location, spread and skew