1. 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

2. The heights of 200 students are recorded in the following table. Height (h) in cm Frequency Cumulative Frequency 140 ≤ h < 1502 150 ≤ h < 16028 160 ≤ h < 17063 170 ≤ h < 18074 180 ≤ h < 19020 190 ≤ h < 20011 200 ≤ h < 2102 Sections 5E/F – Cumulative Frequency Graph (Pg 126) Problem 1

3. Height (h) in cm Frequency Cumulative Frequency 140 ≤ h < 15022 150 ≤ h < 1602830 160 ≤ h < 1706393 170 ≤ h < 18074167 180 ≤ h < 19020187 190 ≤ h < 20011198 200 ≤ h < 2102200 Completed Table:

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

5. Problem 2 – Exercise 5 on Pg 139

6. 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

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

8. 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.

9. 3) Calculate the standard deviation Values 2 4 5 5 6 6 7 35 Calculate the mean Subtract the mean from each value Square these Add them Divide by n Take the square root

10. 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.

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

12. 4) Find the standard deviation of the following distribution of scores. Score frequency 113 124 135 142 158 169 175 188 196

13. 5) Find the standard deviation for the following distribution of examination scores. mark frequency Midpoint 0 - 91 10 - 191 20 - 292 30 - 394 40 - 4911 50 - 5916 60 - 6924 70 - 7913 80 - 896 90 - 992

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