Stats GCSE Averages+comparing data sets

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Pro’s of using the mode

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17 Terms

1

Pro’s of using the mode

Easy to find, can be used with qualitative and quantitative data, unaffected by extreme values, always a value in the data

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2

What’s the mode?

The most common value

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3

Con’s of using the mode

Might be no mode or more than one mode, can’t be used to calculate measures of spread

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4

Pro’s of using the median

Easy to calculate, unaffected by outliers, best to use with skewed data

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5

What’s the median

The middle value

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6

Con’s of using the median

May not be a value in the set of data

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7

Pro’s of using the mean

Uses all the data, can be used to calculate standard deviation and skew

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8

What’s the mean

The sum of the values divided by the number of values

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9

Con’s of using the mean

May not be a value in the set of data, always affected by extreme values, can be distorted by open-ended classes

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10

How to calculate an outlier

<LQ-(1.5\*IQR)

>UQ+(1.5\*IQR)
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11

What’s the standard deviation

How much the individual values differ from the mean

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12

How to calculate skew

(3*(mean-median))/standard deviation

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13

How do you compare data sets?

Using a measure of average, spread or skewness

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14

How do you compare averages?

… for data A is larger than … for data B, so on average data A is more …

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15

How do you compare spread?

… for data A is larger than that of data B so data A is less consistent than data B

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16

What does a positive skew mean?

Majority of results were low with few higher results

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17

What does negative skew mean?

Majority of results were high with few lower results

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