# Statistics Controlled Assessment

Talbot Turner

Talbot Turner

Controlled Assessment

Planning and Hypothesis........................................................3
Question 1...............................................................................................3 Question 2...............................................................................................4 Question 3...............................................................................................5

Analysis and Conclusion.........................................................6
Question 1...............................................................................................6 Question 2...............................................................................................7 Question 3...............................................................................................8

Results and Calculations........................................................9
Question Question Question Question Question Question 1 1 2 2 3 3 Results..................................................................................9 Calculations...........................................................................9 Results................................................................................10 Calculations.........................................................................10 Results.........................................................................11 - 12 Calculations.........................................................................12

Appendix ............................................................................13
Charts Q1.1 and Q1.2............................................................................14 Charts Q1.3 and Q1.4............................................................................15 Charts Q2.1 and Q2.2............................................................................16 Charts Q2.3 and Q2.4............................................................................17 Charts Q2.5 and Q3.1............................................................................18 Charts Q3.2 and Q3.3............................................................................19 Charts Q3.4 and Q3.5............................................................................20 Charts Q3.6 and Q3.7............................................................................21 Charts Q3.8...........................................................................................22 Formula.................................................................................................23

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Talbot Turner Controlled Assessment I will be doing this topic because it is interesting and it evolves other aspects and concepts outside statistics. I can expand well on this and produce an interesting hypothesis on this. as I will use results that were collected by others. I will sample from 100g/km to 200g/km this will be easier to handle and shows the majority of the cars that emit CO2. I will search for results in an appropriate secondary data source. I will go online and utilize the readily available data 4 . Although I will be collecting the data from a reliable source. • A median to show the middle value of car sales and to show how far it is from the mean • And standard deviation to show how spread out the data is in order to see if this factor changes the sales of cars by a lot. I plan to use 5 different charts: • A scatter diagram to show the relationship between the values • A bar chart to illustrate the results for each group in a neat presentable manner • A pie chart to show what groups have the highest change in car sales • And a Cumulative frequency diagram to show the progression • A line graph to show the progression of the sales changes over the groups I will use 5 different Calculations: • A mean to show the average change in car sales. I know this as I will use official documents taken from legitimate statistical agencies the data will not be totally reliable and make contain incorrect values or fabricated values. This is secondary data collection. • The range to show the range of the data • Inter-quartile range to show a more accurate range of the data Question 3 Question: What is the relationship between car torque and horsepower? This is a fairly easy topic to research as there are many different websites that have the information I need and I can obtain a large range of data. My hypothesis is that the more CO2g/km given off the larger the change. as more fuel would be used and they would have a bad reputation for increasing pollution.

I will include the following charts: • Bar charts to show the data in a better way • A Scatter graph to show the proportionality of torque and horsepower • Pie charts to show what car manufacturer produced the cars with the highest torque and horsepower I will • • • • include the following calculations Median to find the middle value Mean to find the average Mode to locate the most common value Standard deviation to determine the spread of data In Conclusion The road “Rashid Bin Saeed Al Maktoum Street” was recorded in Abu-Dhabi with the “Abu-Dhabi – Dubai Road” in Abu Dhabi because there are no four lane roads in Al Ain and in order for the results to be more conclusive a wider range of results would be needed. I chose sedans because they are very similar and are the most used and purchase car type. a Standard deviation of 137 5 . as cars with higher torque tend to have a large amount of horsepower.Talbot Turner Controlled Assessment from car websites. There are far too many cars to collect so this would take too long so I will sample a couple of new Sedans from several well-known brands like BMW. This is why the last result was so high. My hypothesis is that the horsepower and the torque of a car are directly proportional. With an Inter-quartile range of 179.

however this is because more lanes are made to accommodate the number of cars not the other way around.Talbot Turner Controlled Assessment and a mean of 192. the median is located inside these groups of data. the results are widely spread so they are very conclusive because the gradient on the scatter diagram would be larger. but the standard deviation indicates that it’s more compact.2 which shoes a strong correlation between the number of cars and the number of lanes.3 and 2.4 show that there is a weak positive correlation between the 2005 Sales and the CO2g/km emitted. In final conclusion the results show that there is clear evidence that the more lanes there are the more cars with drive on those roads as illustrated in chart 1. In Conclusion The range and inter-quartile range show that the data is fairly spread out. The bar chart and the pie chart show that there are 2 groups that have the largest change in car sales. However it 6 . The mean and median are quite close so I conclude that the data is well balanced from the median. These include the 141 to 150 and the 151 to 160. Charts 2.

The last 2 charts (Charts 3. This indicates that these cars are more popular for other reasons and other variables may cause this peak. This shows clearly that the amount of horsepower and torque in a car is directly proportional to each other with very few exceptions. this would make interpreting the results much easier. Analysis + Conclusion The results table is far too long to analyze.Talbot Turner Controlled Assessment peaks in the middle to groups where the median is located. The first 5 charts (charts 3. In final conclusion the change in sales of cars in 2005 when prices change by 1% is weakly proportional as the is a very weak positive correlation to the amount of CO2 emitted. so by using the mode.1 – 3. Chart 2. This shows that the cars have similar engines and are built in similar ways. Chart 3.5) so the results in a much easier and presentable manner.7 and 3. median and the mean I am able to work out the average or the middle values and the standard deviation would help me see how far the other values deviate from these middle values. this therefore confirms my previous statement about there being a peak in the modal values.6 confirms my hypothesis by showing a very strong correlation where a line of best fit was easy to construct.8) show car manufacturer can 7 . These charts show that for each car make the torque and horsepower for each car model is relatively similar to each other.5 shows that there is a larger rise from 4 to 6.

Al Harmoozi com.Talbot Turner Controlled Assessment produce the highest torque and horsepower.Abu Dhabi road Al Baladiya Rashid Bin Saeed Al Maktoum Street Total Lanes 1 1 1 1 2 1 2 2 3 2 3 2 3 3 3 4 3 4 Cars 29 39 43 62 94 97 109 145 166 173 198 201 257 273 303 328 351 582 3450 Robot Y Y N N Y N N N Y N Y Y N N Y Y N Y Roundabout N N Y Y N Y Y Y N Y N N Y Y Y N Y N 8 . The data for these charts are taken from the highest value from each category. In conclusion the information backs my hypothesis that the horsepower and torque of a car is directly proportional. 11th Street 6th street Al Tawia Khaled Ibn Al Waleed Street 3rd Street Othman Ibn Affan 2nd Street Khalid Bin Saltan Street 129th Street Al Jamia Street Sultan Bin Zayed Al Awwal Street Khalifa Street (town) Dubai . Street 11th Street Al Khabisi 6th Street 2nd Street Al Tawia 14th street. This shows what company produced the sedan with the highest torque and horsepower. Al Sarooj dist.

5 CO2g/km 100 to 110 111 to 120 121 to 130 131 to 140 141 to 150 151 to 160 161 to 170 171 to 180 181 to 190 191 to 200 2005 Sales 5.Talbot Turner Controlled Assessment Mean Standard Deviation Median 191.911 312.520 164.431 477.857 32.911 Cumulative Frequency 5.312 826.181 32.628 75.576 63.011 124.223 Results: Calculations: Mean Median Low Quartile Higher Quartile 82.323 564.587 150.216 61.719 25.096 764.145 124.628 9 .011 87.622 81.719 31.6666667 136.8173966 169.324 161.468 689.892 87.

Horse Make Model Power Torque Talbot Turner Year Controlled Assessment BMW 2010 M5 500 383 BMW 2010 7 series 544 553 Inter Quartile 2010 Range BMW M3 414 295 92.173 3 series 51.944 Standard deviation Active BMW 2011 Hybrid 455 515 BMW BMW BMW BMW Volvo Volvo Volvo Volvo Volvo Volvo Audi Audi Audi Audi Audi Audi Audi Audi Audi Audi Mercedes-Benz Mercedes-Benz Mercedes-Benz Mercedes-Benz Mercedes-Benz Mercedes-Benz Lexus 2011 2011 2011 2011 2010 2010 2011 2011 2011 2011 2010 2010 2010 2010 2010 2011 2011 2011 2011 2011 2010 2010 2010 2011 2011 2011 2010 7 series M3 5 series 3 series S80 S40 S60 S80 S40 S60 S6 A8 S4 A6 A4 A8 S6 S4 A6 A4 S-class E-class C-class S-class E-class C-class LS 600 hL 535 414 400 300 311 227 300 300 227 300 435 350 333 350 211 372 435 333 350 211 604 518 451 624 518 451 389 550 295 450 425 325 236 325 325 236 325 398 325 325 325 258 328 298 325 325 258 738 465 443 738 465 443 385 10 .617 BMW 2010 5 series 360 360 Range BMW 2010 3 series 300 425 159.

Talbot Turner Controlled Assessment 11 .

6804733 363 327 325 Chart 1.Talbot Turner Controlled Assessment Lexus Lexus Lexus Lexus Lexus Lexus Lexus Lexus Lexus Lexus Lexus Lexus Lexus Lexus Lexus Lexus Calculations Horse Power Standard Deviation Mean Median Mode Torque Standard Deviation Mean Median Mode 2010 2010 2010 2010 2010 2010 2010 2010 2011 2011 2011 2011 2011 2011 2011 2011 LS 600 hL Ls 460 IS F GS 450h GS ES 350 HS 250h IS LS 600 hL Ls 461 IS F GS 450h GS ES 351 HS 250h IS 389 380 416 292 342 272 187 306 389 380 416 292 342 272 187 306 385 367 371 267 339 254 200 277 385 367 371 267 339 254 200 277 102.1 12 .8018232 367 350 300 113.

3 13 .2 Chart 1.Talbot Turner Controlled Assessment Chart 1.

4 Chart 2.1 14 .Talbot Turner Controlled Assessment Chart 1.

Talbot Turner Controlled Assessment Chart 2.3 15 .2 Chart 2.

Talbot Turner Controlled Assessment Chart 2.1 16 .4 Chart 2.5 Chart 3.

2 Chart 3.3 17 .Talbot Turner Controlled Assessment Chart 3.

Talbot Turner Controlled Assessment Model Chart 3.5 18 .

6 Chart 3.Talbot Turner Controlled Assessment Chart 3.7 19 .

8 Formula Mean: Sum of Value / Number of Values Mode: Group with the most values 20 .Talbot Turner Controlled Assessment Chart 3.

Talbot Turner Controlled Assessment Median: middle value Interquartile range: Upper Quartile / Lower Quartile Standard Deviation: √{∑( χ−mean)}/number of values Range: First Value / Last value 21 .
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