Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce Haese and Haese Publications, 2004

The heights of 200 students are recorded in the following table. Height (h) in cm Frequency Cumulative Frequency 140 ≤ h < ≤ h < ≤ h < ≤ h < ≤ h < ≤ h < ≤ h < 2102 Sections 5E/F – Cumulative Frequency Graph (Pg 126) Problem 1

Height (h) in cm Frequency Cumulative Frequency 140 ≤ h < ≤ h < ≤ h < ≤ h < ≤ h < ≤ h < ≤ h < Completed Table:

Cumulative Frequency Graph Heights of Students 1) Find: a)The median b)The IQR

Problem 2 – Exercise 5 on Pg 139

Standard Deviation The most widely used measure of the spread of a sample. Measures the deviation between data values and the mean. – The larger the standard deviation, the more widely spread the data (and vice versa). Sections 5I/J – Technology and Standard Deviation

Standard Deviation x is any score is the mean n is the number of scores

3) Calculate the standard deviation for the sample: 2, 4, 5, 5, 6, 6, 7 Need the mean, so calculate this first. Utilizing a chart can make calculations easier.

3) Calculate the standard deviation Values Calculate the mean Subtract the mean from each value Square these Add them Divide by n Take the square root

Find the mean and standard deviation on the calculator: Type data in List 1 1-Var Stats L1 On paper you’ll see ‘s’ being used to standard for standard deviation. But you should use the σ measurement from the calculator.

Find the standard deviation of a frequency table on the calculator: Type data in L1 Type frequency in L2 1-Var Stats L1, L2

4) Find the standard deviation of the following distribution of scores. Score frequency

5) Find the standard deviation for the following distribution of examination scores. mark frequency Midpoint

Homework 5F.4 pg 139 – #4, 5 5I pg 150 – #2,3 5J.1 pg 156 – #1abd 5J.2 pg 157 – #1