5. Write the symbol and the formula for each of the following: a) Sample mean (

ID: 2923173 • Letter: 5

Question

5. Write the symbol and the formula for each of the following:

a) Sample mean ( )= b)Population mean ( )=

c)Sample Variance ( ) = d)Sample Standard Deviation ( )=

e) Population Variance ( ) = e) Population Standard Deviation ( )=

6. Standard deviation is the _________________________________ of the variance.

7. List important properties of Standard deviation

8. Write the formula for the Coefficient of Variation (CV)

9. Give an example of a question that can be answered with CV ?

5. a) Sample mean ( m ) = x / n

b)Population mean ( ) = x / N

c)Sample Variance ( s2 ) = (x -m)2 / (n-1)

d)Sample Standard Deviation ( s ) = ((x - )2 / (n-1))

e) Population Variance ( 2 ) = (x -m)2 / N

e) Population Standard Deviation ( ) = ((x - )2 / N)

6. Standard deviation is the _____________Square root____________________ of the variance.

7. List important properties of Standard deviation

a. It measures the spread of data around the mean.

b. Standard deviation is non-negative.

c. It is sensitive to outliers.

d. If all values of the set are the same, standard deviation is zero.

8. Write the formula for the Coefficient of Variation (CV)

Co-efficient of variation is the ratio of mean to standard deviation.

CV = /

9. Give an example of a question that can be answered with CV ?

Given two sets A and B (and their means and variances), find which one of the two shows greater variability.

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