Measures of Dispersion. Flashcards
The mean can be misleading without some knowledge of _________.
Spread. (Dispersion).
What is the simplest way to measure the variation among a set of values?
The Range.
What is the range?
The distance between the top and bottom values in a data set. (subtract top value from bottom)
What is the most important measure of dispersion?
Standard Deviation.
What are the pros of finding the range?
- Includes extreme values
- Easy to calculate.
What are the cons of the range?
- Can be misleading as can be distorted by extreme values
- Not representative of any features of the values between the extremes.
What is distribution?
The spread of data.
Why is the interquartile and semi-interquartile range better the range?
It is more representative of features of the distribution of values between the extreme’s.
The interquartile and semi-interquartile range focuses specifically on what?
On the Central grouping of values in a set.
The ________ range represents the distance between the 2 values that cut off the bottom and top 25% of values.
Inter-Quartile.
0.25 x (N+1) - what is this the formula for?
To find the position of Q1 (25% / bottom quarter).
0.75 x (N+1) - what is this the formula for?
To find the position of Q3 (75 % / top quarter).
After the quartile positions have been identified, what is done?
Q3 - Q1 = interquartile range.
What is the formula to find out the interquartile range?
Q3 - Q1
What is the semi-interquartile range?
Half of the interquartile range.