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9709 > representation of data > Flashcards

representation of data Flashcards

1
Q

median ( odd)

A
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2
Q

median (even)

A
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3
Q

why is mean not suitable

A

because there’s an extreme value () which can affect the final average

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4
Q

why is mode not suitable?

A

mode is not suitable as it will be the lowest/highest value () which can affect the interpretation of data

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5
Q

LQ

A

1/4 *n

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6
Q

UQ

A

3/4*n

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7
Q

IQR

A

Q3-Q1

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8
Q

2 comparisons

A

On Average (median/mean/mode) , compare using higher than, greater than, more than or less than
Range/IQR- more spread, less spread

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9
Q

always label stem and leaf

A

in diagrams and write key

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10
Q

standard deviation

A

always 3sf

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11
Q

mean for ungrouped

A
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12
Q

the standard deviation for ungrouped

A
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13
Q

mean for grouped

A
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14
Q

the standard deviation for grouped

A
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15
Q

variation is

A

sd^2

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16
Q

outliers

A

Q1-(1.5* IQR)
Q3+(1.5* IQR)
the numbers more than or less than these are the outliers

17
Q

explain why the mean is only an estimate

A
  • mean can only be an estimate because we do not know the individual measurement of _. all the data has been grouped so we can only roughly estimate the mean for the grouped data.
18
Q

advantages of the cumulative frequency graph

A
  • suitable for continuous data
  • median, lower quartile, and upper quartile can be estimated from the graph
  • sets of data can be compared by drawing graphs on the same diagram
19
Q

disadvantages of the cumulative frequency graph

A

it doesn’t show each data drawn from a grouped frequency table. the visual impact can be altered by choosing different groups

20
Q

advantages of histogram

A

suitable for continuous data
shows whether the distribution is symmetrical or skewed

21
Q

disadvantages of histogram

A

it dosent show each data as it is constructed from a grouped frequency table.
the visual impact can be altered by choosing different groups
two distributions cannot be shown on the same diagrams

22
Q

advantages of stem and leaf

A
  • shows all the original data
  • median, mode and quartiles can be found from the diagram
23
Q

disadvantages of stem and leaf diagrams

A

not suitable for a large set of data

24
Q

advantages of box and whisker plot

A
  • easy to see whether the distribution is symmetrical or skewed
  • median. lower quartile and upper quartile can be seen from the graph
  • sets of data can be compared by drawing box and whisker plots on the same diagram
25
Q

disadvantages of box and whisker plots

A

it doesn’t show each data

26
Q
A

negatively skewed

27
Q
A

positively skewed

28
Q
A

positively skewed

29
Q
A

negatively skewed

30
Q

in histogram the y axis is

A

f.d

31
Q

f.d=

A

f/c.w

32
Q

what assumption needs to be made for the estimate to become accurate

A

data is evely distrbuted within each class

9709 (18 decks)

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