Level 3

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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