Skewness Of Data Flashcards

1
Q

What does the Skegness describe

A

The shape of the distribution

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2
Q

What does it mean if the data is skewed

A

That if is packed more tightly to one side of the median

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3
Q

What does a positive skew mean

A

The majority of the data is relatively low with few higher values

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4
Q

What is the data like in positive skews

A

The data bellow the median are close together whilst the values above are spread out

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5
Q

What is a negative skew

A

The data is relatively high with a few low values

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6
Q

What is the data like in a negative skew

A

The values above the median are clones together and the values below are more spread out

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7
Q

Which inequalities indicate a positive skew

A

Mean > median> mode. Or. Median -Q1 < Q3 -median

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8
Q

Which inequalities indicate a negative skew

A

Mean < median < mode. Or. Median -Q1 > Q3 -median

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9
Q

What does it mean if the median is near the center of the box plot

A

The distribution is fairly symmetrical

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10
Q

What does it mean if the median is towards the left

A

Positively skewed

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11
Q

What does it mean if the median is towards the right of a box plot

A

It is negatively skewed

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12
Q

What is the coefficient of skew

A

Quantity of skew

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13
Q

What can the coefficient of skew be between

A

-3 and 3

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14
Q

What does it mean if the coefficient of skew is close to 0

A

The distribution is symmetrical

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15
Q

What values show it is more skewed distribution

A

-3 and 3

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16
Q

Formula for skew

A

Skew = 3(mean - median) / standard deviation