1. Subject Knowledge Enhancement
Surrey Plus Maths Hub
Subject Knowledge Enhancement
Data collection, averages and graphs
Henry Stevenson, Weydon School 5 12 7 13 ?
Mean = 10

2. Purpose: Session 1 - Thursday 14th May 2015 Statistical Calculations
To be familiar with the National Curriculum Programme of Study
To develop subject knowledge of statistical calculations
To develop a range of classroom activities and resources

3. KS3 Programme of Study
§ Describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread (range, consideration of outliers)

4. KS4 Programme of Study
§ infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling
§ interpret, analyse and compare the distributions of data sets from univariate empirical distributions through:
appropriate graphical representation involving discrete, continuous and grouped data, including box plots
appropriate measures of central tendency (including modal class) and spread including quartiles and inter-quartile range
§ apply statistics to describe a population

5. Data Collection Time Hair colour Number of siblings Height
Types of data
Tallying
Grouping data
Sampling
Questionnaires
Surveys
Dress Size
Football Team
GCSE Grade
Weight
Test score
Age
Speed
Shoe Size

6. Ed Milliband would destroy the British economy.
How often do you go swimming?
Regularly
Quite often
Not very often
Sometimes
Never
Ed Milliband would destroy the British economy.
Agree Disagree
Height:
Weight: kg
How much homework do you do?

7. Is there a 'right' and a 'wrong' way to group data?
Tomato Plants 67 10 59 66 24 49 28 62 18 42 63 17 74 68 26 35 23 44 80 61 56 76 38 15 6 47 54 41 34 5 52 77 22 72 40 31 43 79
Is there a 'right' and a 'wrong' way to group data?

8. Football manager
You have to pick one striker in your team for the cup final.
Who will you pick and why?
Gianlucca Vialli 0 0 3 3 1 3 0 2
Gianfranco Zola 2 2 1 2 1 2 1 1
Tore Andre Flo

9. Averages and Spread
Concerns:
Weaker students can't remember them
Stronger students get bored

10. Mean is 18, median is 12, range is 17
What was the question?
Write down 5 numbers which :
Mean is 18
... and another one...
Mean is 18, range is 6
Mean is 18, median is 12
Mean is 18, median is 12, range is 17
Median is 15, mode is 20, range is 10, mean is ?

11. What questions would you ask?
Pocket Money
Pocket Money
Frequency £0 2 £1 1 £2 £3 4 £4 5 £5
Pocket Money
Frequency £0 £1 6 £2 8 £3 7 £4 9 £5
Pocket Money
Frequency £0 12 £1 6 £2 £3 24 £4 30 £5
What questions would you ask?

12. Averages from grouped data
What do you think are the most common misconceptions?

13. Is the average salary really £50,000?
Weighted means
Is the average salary really £50,000?
Director
£80,000 1
Supervisor
£50,000 5
Attendant
£20,000 14
Average salary
French exam
Biology Score
Speaking
45%
1/6
Listening
90%
3/6
Writing
68%
2/6
Paper 1
38/50
40%
Paper 2
41/50
Controlled Assessment
29/50
20%

14. Boys 18 31 32 33 34 35 45 Girls 20 22 24 25 28 29 38 40 Puzzle Times
Compare the distribution of the boy's times to the girl's times.