• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4
5. 5
5
6. 6
6
7. 7
7
8. 8
8
9. 9
9
10. 10
10
11. 11
11
12. 12
12
13. 13
13
14. 14
14
• Level: GCSE
• Subject: Maths
• Word count: 1585

# Data Handling - Height and Foot Length

Extracts from this document...

Introduction

DATA HANDLING COURSEWORK

Plan

A former year10 class collected the data I will be using a few years ago. All of the students in each of the year 7 tutor groups had their height and foot length measured in centimetres. However, ‘7Q’ were out of school on a trip. Therefore, their data was not recorded.

I will use various methods to prove my hypothesis. These include cumulative frequency curves, box and whisker diagrams, histograms and stem and leaf diagrams. As well as the traditional mean, median, mode and range techniques.

I will firstly conduct the handling by collecting my data. I will do this via the technique of random sampling. I’ll do this by typing 148 (amount of data entries) then the #RAN key on my calculator. This will generate a random number between 0 and 148.

...read more.

Middle

167.5

1

167.5

170 < h < 175

172.5

0

0

175 < h < 180

177.5

1

177.5

TOTALS

30

4516.5

Mean

4516/30 = 150.5cm

Median

30/2 = 15

145 + ((4/6) x 5) = 148.3cm

Mode

Modal class = 145 < h < 150

Range

177 – 138 = 39cm

CUMULATIVE FREQUENCY

 MALE HEIGHT (CM) FREQUENCY CUMULATIVE FREQUENCY 140 < h < 145 11 11 145 < h < 150 8 11 + 8 = 19 150 < h < 155 5 19 + 5 = 24 155 < h < 160 4 24 + 4 = 28 160 < h < 165 2 28 + 2 = 30

Lower quartile = 143cm

Upper quartile = 153.5cm

Inter quartile range = 9.5cm

 FEMALE HEIGHT (cm) FREQUENCY CUMULATIVE FREQUENCY 135 < h < 140 4 4 140 < h < 145 7 4 + 7 = 11 145 < h < 150 6 11 + 6 = 17 150 < h < 155 2 17 + 2 = 19 155 < h < 160 5 19 + 5 = 24 160 < h < 165 4 24 + 4 = 28 165 < h < 170 1 28 + 1 = 29 170 < h < 175 0 29 + 0 = 29 175 < h < 180 1 29 + 1 = 30

Lower quartile = 142.7cm

Upper quartile = 158.5cm

Inter quartile range = 15.8cm

Random Male Foot Length MMMR

 FOOT LENGTH (cm) MID POINT FREQUENCY MID POINT X FREQEUNCY 20 20 1 20 21 21 2 42 22 22 6 132 23 23 7 161 24 24 5 120 25 25 8 200 26 26 1 26 TOTALS 30 701

Mean

701/30 = 23.4cm

Median

30/2 = 15

23 + ((6/7) x 1) = 23.9cm

Mode

23cm

Range

26 – 20 = 6cm

Random Female Foot Length MMMR

 FOOT LENGTH (cm) MID POINT FREQUENCY MID POINT X FREQUENCY 19 19 1 19 20 20 2 40 21 21 3 63 22 22 7 154 23 23 9 209 24 24 4 96 25 25 3 75 26 26 0 0 27 27 1 27 TOTALS 30 683

Mean

683/30 = 22.8cm

Median

30/2 = 15

23 ((2/9) x 1) = 23.2cm

Mode

23cm

Range

27 – 19 = 8cm

After analysing my random sampled data, I have proved my hypothesis’ validity.

However, to clarify my results I will extend my analysis. I will change various variables this time. The sampling will be altered to systematic and the amount of data will be reduced to 15 pieces per gender. I will also exchange histograms for stem and leaf diagrams, but I will still use cumulative frequency curves.

Systematic Sampling

 MALE NUMBER HEIGHT (cm) FOOT LENGTH (cm) 5 156 23 15 161 25 25 141 21 35 143 23 55 154 25 65 147 24 70 151 26 75 148 23 80 155 22 85 150 23 90 144 22 100 138 23 120 144 22 125 149 22 130 167 25
...read more.

Conclusion

15/2 = 7.5

145 + ((4.5/5) x 5) = 149.5cm

Mode

145 < h < 150

Range

162 – 140 = 22cm

CUMULATIVE FREQUENCY

 MALE HEIGHT (cm) FREQUENCY CUMULATIVE FREQUENCY 135 < h < 140 1 1 140 < h < 145 4 1 + 4 = 5 145 < h < 150 4 5 + 4 = 9 150 < h < 155 3 9 + 3 = 12 155 < h < 160 1 12 + 1 = 13 160 < h < 165 1 13 + 1 = 14 165 < h < 170 1 14 + 1 = 15

Lower quartile = 143.4cm

Upper quartile = 153.6cm

Inter quartile range = 10.2cm

 FEMALE HEIGHT (cm) FREQUENCY CUMULATIVE FREQUENCY 135 < h < 140 1 1 140 < h < 145 2 1 + 2 = 3 145 < h < 150 5 3 + 5 = 8 150 < h < 155 1 8 + 1 = 9 155 < h < 160 5 9 + 5 = 14 160 < h < 165 1 14 + 1 = 15

Lower quartile = 146.cm

Upper quartile = 157cm

Inter quartile range = 11cm

Systematic Male Foot Length MMMR

 FOOT LENGTH (cm) MID POINT FREQUENCY MID POINT X FREQUENCY 21 21 1 21 22 22 4 88 23 23 5 115 24 24 1 24 25 25 3 76 26 26 1 26 TOTALS 15 349

Mean

349/15 = 23.3cm

Median

15/2 = 7.5

23 + ((2.5/5) x 1) = 23.5cm

Mode

23cm

Range

26 – 21 = 5

Systematic Female Foot Length MMMR

 FOOT LENGTH (cm) MID POINT FREQUENCY MID POINT X FREQUENCY 21 21 2 42 22 22 2 44 23 23 8 184 24 24 2 48 25 25 1 25 26 26 0 0 TOTALS 15 343

Mean

343/15 = 22.9cm

Median

15/2 = 7.5

23 + ((3.5/8) x 1) = 23.4cm

Mode

23cm

Range

25 – 21 = 4

Evaluation

The hypothesis I predicted at the planning stages of my data handling coursework (stated above) was confirmed several times during the course of my analysis. Mean and mode displayed the traditional and easy-to-see confirmation. Whilst the cumulative frequency curves, histograms and steam and leafs methods showed the distribution of data and other specific trends.

...read more.

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related GCSE Height and Weight of Pupils and other Mayfield High School investigations essays

1. ## During this coursework unit I will be using statistical knowledge to analyse my data ...

Range- The next thing is the range. The range measures the spread between the highest number and the lowest number. Therefore, the higher the range the more varied the values are. This is a very crude measure of spread because the highest number might not fit in with the rest

2. ## Maths Data Handling

This is because the school is growing each year and so it is likely that year 7 will contain a vast amount of pupils. This will effect my investigation because of the relationship between age, height and weight, which will be studied later in the project.

1. ## Maths: Data Handling Coursework

This shows that men, even millions of years ago, were bigger and stronger than women. This can also show how men are born to be bigger and stronger than women. So in that sense, my hypotheses are as follows: 1.

2. ## mayfield high school handling data coursework

Median=1.555=1.56(3 sig fig) Upper quartile=1.6125=1.61(3 sig fig) range=1.8-1.2=0.6 mean=1.609 Lower quartile=1.5525=1.55(3 sig fig) Median=1.61 Upper quartile=1.65 range =1.8-1.35=0.45 year 9 boys 3 5 4 0,2,3,5,5,6,6,7,8 5 1,1,2,2,2,3,4,4,7 6 0,0,0,5,5,9 year 11 boys 4 8 5 0,0,1,4,4,6 6 0,0,3,4 7 2,2,2,5,6,7 8 6 mean=51.68 lower quartile=46 median=52 upper quartile=57 range=69-35=34 mean=63.3333=63.3(3 sig fig)

1. ## Data Handling - GCSE Coursework

64 1.83 26 F 50 1.73 27 F 47 1.33 28 F 50 1.72 29 F 54 1.48 30 F 85 2.03 I've taken 30 pupils data from a total of 170 pupils in Year 11. I picked them out at random to get a varied amount.

2. ## Maths - Handling Data

My sample of 60 was a stratified random sample as follows: Year 10 = 200 x 60 = 32 370 Year 11 = 170 x 60 = 32 370 Before presenting this data in tables, graphs and charts I should look at the data to check for any anomalies and to make sure the data is acceptable.

1. ## Data Handling Project

x 20 = 2.7 rounded to 3 I then applied the same methods in calculating the number of Girls for my stratified sampling and here is a table of results that I will be using for my data sampling for this particular hypothesis.

2. ## Data handling coursework

These will give me an indication of the average person for each year group. Mean The mean is the average worked out by adding up the values and dividing by the number of values. To work out the mean I will add up all the hand span measurements of the

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to
improve your own work