measures of central tendency and dispersion Flashcards

1
Q

measures of central tendency - definition

A

the general term for any measure of the average value in a set of data

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2
Q

mean

A
  • average
  • adding up all the scores and dividing by the total number
  • easily distorted by extreme value so use when there is no extreme values
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3
Q

what is the most sensitive measure of central tendency ?

A

mean

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4
Q

what is the most representative of data as a whole ?

A

mean

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5
Q

median

A
  • middle value
  • extreme scores do not affect it
  • easy to calculate
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6
Q

what is the less sensitive than the mean actual values of lower and higher number are ignored ?

A

median

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7
Q

mode

A
  • most r=frequent occurring score
  • crude measure
  • easy to measure
  • not affected by extreme scores
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8
Q

what is a basic measure so it is unrepresentative ?

A

mode

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9
Q

method of dispersion - definition

A

measure of the spread or variation in a set of scores

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10
Q

standard deviation

A

average distance of the data from the mean of the distribution

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11
Q

range

A
  • taking the lowest value from the highest value and adding 1
  • does not indicate whether most numbers are closely grouped around the mean or spread out
  • unrepresentative
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12
Q

larger standard deviation, …

A

the greater the dispersion or spread within a set of data

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13
Q

what does low standard deviation reflect ?

A

the fact that the data is tightly dusted around the mean

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14
Q

what is the precise measure of dispersion ?

A

standard deviation

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15
Q

limitation of standard deviation

A

can be distorted by a single extreme value

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16
Q

how do you work out the standard deviation ?

A
  1. find the mean of the data
  2. subtract the mean from each value
  3. square these values
  4. find the mean of the squared values
  5. find the squarer root of that mean