2. Lesson 6 Stem and Leaf and Scattergraphs.. Mathswatch 89/87.

3. GCSE Maths Starter 6 2.Simplify 3a + 2b + 5a – 7b 3.Simplify x⁸ ÷ x ² 4.What is 354 ÷ 6 5.Copy the shape below into your exercise books and draw 5 more shapes that tessellate with it. 1) Reflect the shape below in the y axis.

4. To put raw data into a stem and leaf diagram. To interpret stem and leaf diagrams. To Complete scatter graphs and describe the relationship/correlation. EXTN: To make predications using a scatter graphs. (Grade C) Lesson 6 Stem and Leaf and Scattergraphs.. Mathswatch 89/87.

5. How to Draw One: 1. Put the first digits of each piece of data in numerical order down the left-hand side 2. Go through each piece of data in turn and put the remaining digits in the proper row 3. Re-draw the diagram putting the pieces of data in the right order 4. Add a key Lesson 6 Stem and Leaf and Scattergraphs. Mathswatch 89/87.

6. Here are the marks gained by 30 students in an examination: 63 58 61 52 59 65 69 75 70 54 57 63 76 81 64 68 59 40 65 74 80 44 47 53 70 81 68 49 57 61 Write the tens figures in the left hand column of a diagram. These are the ‘STEMS’ 45678 Lesson 6 Stem and Leaf and Scattergraphs. Mathswatch 89/87.

7. Here are the marks gained by 30 students in an examination: 63 58 61 52 59 65 69 75 70 54 57 63 76 81 64 68 59 40 65 74 80 44 47 53 70 81 68 49 57 61 45678 Go through the marks in turn and put in the units figures of each mark in the proper row. These are the ‘LEAVES’ 3 8 1 Lesson 6 Stem and Leaf and Scattergraphs. Mathswatch 89/87.

8. Here are the marks gained by 30 students in an examination: 63 58 61 52 59 65 69 75 70 54 57 63 76 81 64 68 59 40 65 74 80 44 47 53 70 81 68 49 57 61 45678 When all the marks are entered the diagram will look like this: 3 8 1 0 4 7 9 2 9 4 7 9 3 7 5 9 3 4 8 5 8 1 5 0 6 4 0 1 0 1 Lesson 6 Stem and Leaf and Scattergraphs. Mathswatch 89/87.

9. Here are the marks gained by 30 students in an examination: 63 58 61 52 59 65 69 75 70 54 57 63 76 81 64 68 59 40 65 74 80 44 47 53 70 81 68 49 57 61 45678 Rewrite the diagram so that the units figures in each row are in order: 0 4 7 9 2 3 4 7 7 8 9 9 1 1 3 3 4 5 5 8 8 9 0 0 4 5 6 0 1 1 Lesson 6 Stem and Leaf and Scattergraphs. Mathswatch 89/87.

10. Now…… 45678 Add a KEY: 0 4 7 9 2 3 4 7 7 8 9 9 1 1 3 3 4 5 5 8 8 9 0 0 4 5 6 0 1 1 5|2 = 52 Lesson 6 Stem and Leaf and Scattergraphs. Mathswatch 89/87.

11. Remember: - Always put in a Key - Always put your data in Order Median: - to work out the median, you must find the middle value - if there are two middle values, you need the average Range: - to work out the Range, subtract the smallest number from the biggest Lesson 6 Stem and Leaf and Scattergraphs. Mathswatch 89/87.

12. Stem and Leaf For You To Try… The stem & leaf diagram below shows the masses in kg of some people in a lift. (a)How many people were weighed? (b)What is the range of the masses? (c)Find the median mass. Stem Leaf 3 4 5 6 7 8 1 4 3 36 0 3 4 8 1 2 2 7 1 6 2 tens units (a) 16 people. (b) 86 – 31 = 55 kg Median is the mean of the 8 th and 9 th data values. (c) 56 kg

13. Lesson 6 Stem and Leaf and Scattergraphs. Mathswatch 89/87.

14. You can draw a line of best fit on Data  A line of best fit roughly follows the pattern of the points  It does NOT have to go through any points or start on the axes… Positive Correlation  As one value increases, the other increases Negative Correlation  As one value increases, the other decreases No Correlation  There is no pattern in the data (and therefore no line of best fit…) Scattergraphs Lesson 6 Stem and Leaf and Scattergraphs. Mathswatch 89/87.

16. To put raw data into a stem and leaf diagram. To interpret stem and leaf diagrams. To Complete scatter graphs and describe the relationship/correlation. EXTN: To make predications using a scatter graphs. (Grade C) Lesson 6 Stem and Leaf and Scattergraphs.. Mathswatch 89/87.