14

Question 1

Order statistics of a given sample?

Answer 1

Sample values arranged in non-decreasing order (order). Assuming all the data values are different, if x_(x) is the r th smallest sample value, let Q^(r/(n + 1)) = x(r)

Question 2

It’s hard to make judgements when you have a?

Answer 2

Small Sample

Question 3

Linear transformation with quantiles?

Answer 3

Q_p,Y = aQ_p,X + b, a != 0

Question 4

Five number summary?

Answer 4

Min, Q_1, Q_ 2, Q_ 3, Max

Question 5

Boxplot?

Answer 5

A graph consisting of a number line being drawn from the minimum to the maximum data value. A box is placed over the line with ends located at the first and third quartile of the dataset. A line is drawn inside the box perpendicular to the number line through the second quartile.

Question 6

In a box plot, how does it look if it comes from a symmetric distribution?

Answer 6

The first 25% and the bottom 25% will be the same.

Question 7

Outlier?

Answer 7

A data value far outside the range of most of the other data values.

Question 8

How do you decide the outlier?

Answer 8

If its greater than Q_3 + #IQR or less than Q - #IQR

Question 9

IQR?

Answer 9

Q_3 - Q_1

Question 10

Bar charts?

Answer 10

A random variable whose numerical values represent mutually exclusive and exhaustive categories of outcomes called a categorical variable.

Question 11

!!!Facts about bar plots? 6•

Answer 11

•a random variable can be obtained by assigning numerical values to the categories,
•The numberings of the categories can be but not necessarily arbitrary.
•either there is no order to the categories, but there is a order but the differences are not numerically interpretable.
•generally, the numbering scheme is not used when talking about the variable
•the numbering scheme can make performing computations possible or easier
•a Bernoulli random variable can be thought of as representing a categorical variable