Chapter 11

Question 1

Variance formula

Answer 1

S^2 = 1/n (sum x^2 - n mean^2)

Question 2

Non central moment about 0

Answer 2

1/n (sum(x^k)

Question 3

Central moment about c

Answer 3

1/n (x-c)^k

Question 4

Third moment/ skewness formula

Answer 4

1/n sum(x - mean)^3

Question 5

Adding a number to data set

Answer 5

Interquartile range, SD and variance not effected

Question 6

Multiplying data set by a number k

Answer 6

Mean is k times original
SD is k times original
Variance is k^2 original
Third central movement is k^3 original

Question 7

Mean for stem and leaf/ box plot

Answer 7

N+1/2

Question 8

IQR for list of data

Answer 8

LQ - n+1/4

UQ - 3(n+1/4)

Question 9

IQR for grouped frequency

Answer 9

LQ- n/4 through cumulative freq

UQ -3(n/4) through cum freq