# Paper 2 Project Maths Essential Revision Notes

Table of Contents

2. Frequency Distribution Tables 8

3. Bar Charts and Pie Charts 20

6. Points, Lines and Angles and Triangles 39

8. Triangles inside circles 53

9. Congruent and similar Triangles 59

12. Co-ordinate Geometry of the line 85

The mode is the value that occurs most often.

The mode of 20,22,25,26,28,22,25,22,28,20,26,22 is 22 as it occurs the most amount of times in the sequence.

The median is the middle value when the values are arranged in order of size.

To get the median of 14,21,17,11,19,15,16 we must first rearrange our values in ascending order

11,14,15,16,17,19,21

Our middle value of the sequence is 16 so this is our median

If we are getting the median of an even number of values we must get the average of our middle two values

To get the median of 34, 36, 30, 28, 42, 38, 33, 35 we first arrange in ascending order

28, 30, 33, 34, 35, 36, 38, 42

Our middle values are 34 and 35 so our median is 34.5

The mean of a set of values is the sum of all the values divided by the number of values.

Mean =

To get the mean of 30, 28, 34, 37, 22 we add up all our values and divide by the number of values which in this case is 5

Mean = = 30.2

The range or spread of a set of values is the difference between the highest value and the lowest value

The mean, mode and median are sometimes called the measures of central tendency

**Questions**

**1. The mean of 5 numbers is 12 find the sum of the numbers**

Mean =

Mean × Number of values = Sum of all the values

5 × 12 = 60

**2. In 4 games, a soccer player scored 1, x, 4 and 3 goals respectively. The mean number of goals scored by the player per game was 2. **

**Find the number of goals scored in the second game i.e. the value of x.**

Mean =

= 2

8 + x = (4)(2)

8 + x = 8

x = 0

**3. Given the numbers 42,44,39,52,37,44,49,42,44,40 Find the mode, median and mean.**

Mode ...