Skewness Of Data Flashcards
What does the Skegness describe
The shape of the distribution
What does it mean if the data is skewed
That if is packed more tightly to one side of the median
What does a positive skew mean
The majority of the data is relatively low with few higher values
What is the data like in positive skews
The data bellow the median are close together whilst the values above are spread out
What is a negative skew
The data is relatively high with a few low values
What is the data like in a negative skew
The values above the median are clones together and the values below are more spread out
Which inequalities indicate a positive skew
Mean > median> mode. Or. Median -Q1 < Q3 -median
Which inequalities indicate a negative skew
Mean < median < mode. Or. Median -Q1 > Q3 -median
What does it mean if the median is near the center of the box plot
The distribution is fairly symmetrical
What does it mean if the median is towards the left
Positively skewed
What does it mean if the median is towards the right of a box plot
It is negatively skewed
What is the coefficient of skew
Quantity of skew
What can the coefficient of skew be between
-3 and 3
What does it mean if the coefficient of skew is close to 0
The distribution is symmetrical
What values show it is more skewed distribution
-3 and 3