Workbook 3- Numerical Measures And Representations Of Data

Question 1

The 8 Measures of Location

Answer 1

Minimum
Maximum
Quartiles
Percentiles
Deciles

Mode
Median
Mean (these 3 are also measures of central tendency)

Question 2

4 Measures of Spread

Answer 2

Range
Interquartile Range
Standard Deviation
Variance

Question 3

Variance

Answer 3

Standard Deviation ^2

Mean of the squares - square of the means

Question 5

Linear Interpolation

Answer 5

-Assumes data is spread out evenly
-Involves using cumulative frequency
-Some data may be discrete so you have to make continuous

Question 6

Coding

Answer 6

Simplifies Statistical Calculations
Y = (x - a) / b

Y= coded data
X= original data

Question 8

Affects of coding on mean and standard deviation

Answer 8

Mean- changes via both a & b
Standard Deviation- only changes when b is changed

Question 9

Outliers

Answer 9

Outlier is extreme piece of data which differs significantly from other observed data values
(Do not exclude these values unless asked)

Question 10

Outlier Formula

Answer 10

Nothing greater than Q3 + IQR x 1.5
Nothing less than Q1 - IQR x 1.5

Question 11

Histograms

Answer 11

Area is proportional to Frequency

Question 12

Frequency Density Equation

Answer 12

Frequency / Class Width

Question 13

Frequency Polygon

Answer 13

Straight lines that join the top middle of each bar