# Data handling - calculating means and standard deviations

ASSIGNMENT 1I

Type I

Name:

Candidate #: [               ]

School:

October 2003

## Question 1

The table below shows the height for 60 students in centimeters:

• The mean () is calculated using the equation below:

=

• The standard deviation () is calculated* using the equation below:

= 17.08731661

Question 2

1. The table below shows the height of 60 students after adding 5 cm to each height:

• The mean () is calculated using the equation below:

=

• The standard deviation () is calculated* using the equation below:

= 17.08731661

1. The table below shows the height of 60 students after subtracting 12 cm from each height:

• The mean () is calculated using the equation below:

=

• The standard deviation () is calculated using the equation below:

= 17.08731661

## Question 3

1. The table below shows the height of 60 students after multiplying each height by 5:

• The mean () is calculated using the equation below:

=

• The standard deviation () is calculated* using the equation below:

= 85.43658304

1. The table blow shows the height of 60 students after dividing each height by 5:

• The mean () is calculated using the equation below:

=

• The standard deviation () is calculated* using the equation below:

= 3.417463322

The table below shows the same data set used in this question using a = - 3, where each value ...