1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. 6
  7. 7
  8. 8
  9. 9
  10. 10
  11. 11

Math Portfolio Type I

Extracts from this document...


Type 1 The procedure to carry on this portfolio was followed according to the given instructions which are mentioned in the attached sheet. DATA ANALYSIS The following table was made by taking the weight of 100 students of classes 10th and 12th from the school's dispensary. (With the use a Microsoft Excel Sheet) Weights Number of Students 34 35 1 36 37 38 39 40 2 41 1 42 2 43 1 44 2 45 4 46 1 47 3 48 49 2 50 7 51 52 53 2 54 6 55 5 56 4 57 3 58 2 59 3 60 3 61 2 62 6 63 64 5 65 6 66 1 67 1 68 2 69 70 3 71 1 72 1 73 3 74 75 1 76 1 77 1 78 2 79 1 80 1 81 1 82 83 84 2 85 86 87 88 89 90 3 91 92 93 94 95 1 96 97 98 1 99 100 This table was further processed by making a table (shown bellow) containing weights (xi), number of students having the respective weight (fi) and the product of both (with the help of Microsoft Excel) of them (fixi). Weights (xi) Number of Students (fi) xi fi 34 0 35 1 35 36 0 37 0 38 0 39 0 40 2 80 41 1 41 42 2 84 43 1 43 44 2 88 45 4 180 46 1 46 47 3 141 48 0 49 more.


After obtaining the two graphs of different class intervals (i.e. 10 & 5) while We can compare the shape of the curves, the standard deviation and the mean between them. The two curves are not symmetrical due to various reasons: The curve with class interval of 10 has a small fall at the interval of 80 - 90 this is because of the very less amount of people with this weight. The same thing occurs in the second graph for the class interval of 5 at the interval of 85 - 90. This is the reason why the curves have a non - asymmetrical shape. The two graphs can also be compared in terms of mean the red curve which is of the class with of 5 shows us a closer (which is the actual one) than the blue line that is of a class interval of 10. The two graphs can also be compared by the standard deviation as we can see that the data is more compressed in the curve made by the standard deviation of 10 the data is more compressed than the curve made with the class interval of 5 which hence, shows us that greater the class interval, smaller the dispersion of data and smaller the class interval greater is the scattering of data. To prove all these above mentioned points a random sample of 40 weights was taken (with the class width of 10 and 15). more.


This positive skewness is because; the mean is greater than the mode or the median. This is also positive skewness since, the large tail of the distribution lies toward the higher values of the variable (i.e. right). 6. What will be the relationship between any population mean and the mean of a sampling distribution taken from it? The main difference between a population mean and a mean of a sample of the population is the standard deviation (i.e. the scattering of data), the mean itself and the mode. This is again because of, the class width taken for each sample of the population. 7. What will be the relationship between their shapes? The relation between their shapes is that all the samples have a certain fall at a particular value this is due to the reason that there was no one with that certain weight or very less people with that certain weight. Also, another relationship is that all the curves are positively skewed. It can also be said that this curves are not symmetrical because they do not follow the fall under the formula given for a normal distribution curve that is: __________ 8. What will be the relationship between their standard deviations? The only relation between the standard deviations is that the samples of the population have a class interval and also that greater the class width less is the standard deviation (i.e. scattering of data) and vice versa. 9. What causes the placement of the measures of center for the population? Why is one further to one side or the other? What is the cause? more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our International Baccalaureate Maths 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

See related essaysSee related essays

Related International Baccalaureate Maths essays

  1. Math Portfolio Type II Gold Medal heights

    additional data the new data from Table 2.1 is taken and plotted with the modelled equation giving following graph. Note that the graph is quite will fitted starting from 1928 (32) until 2008 (112). However then the graphs falls more rapidly as it approaches x=0 and derivatives greatly from the data points.

  2. This portfolio is an investigation into how the median Body Mass Index of a ...

    points, the graph is as follows: The Department of Heath Statistics have also fitted a curve to the data using the median BMI of urban and rural girls as well as urban and rural boys: One can see from this comparison that while the BMI is generally lower across the

  1. Math portfolio: Modeling a functional building The task is to design a roof ...

    to "v" and then equate to zero =150[(1296v - v3)]=0 Therefore 1296-3v2=0 -3V2=-1296 V=±20.78m This value can be maxima or minima hence I will differentiate the equation (8) again and check whether the result is positive or negative. =(-6V)=-124.68 As the above value is negative, hence the value of "v"20.78 is for largest cuboid.

  2. Math Portfolio: trigonometry investigation (circle trig)

    As the value of ? increases from to, cos? goes from -1 to 0. As the value of ? increases from to, cos? goes from 0 to 1. The maxima which are the maximum value for y or the highest point in y value, of this the maxima, the highest point in the y value

  1. Extended Essay- Math

    ÀfEs´2ZmÖCk!}À1/4G$ ýÑqG~øÀ"²ÈdM-`¤wç¿ûþé.¿¸(c)ÿ<ÿ/ ux¡}áÄ$!ë£È¨äjPp¿²r¤ù-"üd¥ùåvºÿß\;1ë·²_~Å"õÑ¿h!(c)¨ñ!þxû_´qº^!Ë"æ_4Ñý;£¸çã"ð[-ò$Ò#-ÊxGÞ³"PZ@K° 8w° ñ`Ä c@"Ø ²@.È ÇÀ PNPÁÐ n^p <#à)S`|à;X ' &âD )HRt!ÈrÜ!(â¡1/2Ð>(*"* ³Ptê"z¡{Ðcè9ô-¡0 ¦...(tm)a-X-ÕaØ v1/2à 8Nsภ(r)à6¸~?...§àOð (V"J¥2BíBy Q1¨tÔ!T ªuÕ...ºCM¡Pkh, Í-AüÔíöCG£ÓÑÑèztº=~^DoaHnFcqÃa1¹L¦3y(tm)Á|Çb±¬X1¬Öë Á¦bc"°-Ø-ìcì4vÃqà¤p:¸]8 . -+Ç5ánáFq3¸x"¯7Å{à#ðÙø|#3/4?ů"MÂ.?!(tm)p"PKè"<"ÌÖiiÄhthhBh²hÊh.Ò Ð1/4¤ùJ$D{"I,#^" ß×hÉ´'´F´´ñ´´çi{hÓ~%'H¢$}' )T@j Ý&1/2&ý c¢"¥³ ó§Ë "¤k£¥ûBO ¡7 ßCB_BþýA"ÁÂÎPÉÐÉða...'Qqc8ãaÆFÆ{sdY"lBö'çkÈ·ÉÓL(&!&#&?¦}LµLL3ÌXf1f ææ|æfæaæE22 KK%ËM-)V"("këQÖ+¬ã¬?ÙxØ ØØòØ.²²­²s±ë³ °boaÊþ"Ã"#"ã8G;Ç+N4§$§=g"ç)ÎÎ.f.-.?(r)C\W¸^pÃÜ'Ü Ü(c)Ü5ÜCÜ+<1/4<f<Q<å<·yxYyõyCxy"yçùøtù¨|Å|·ø>ò³ððñ-ñ÷ó/ p Ä XtÌl|%D#¤.(T,Ô'´(Ì'l#1/4Wøð ºH°H(c)È]'UQ1QWÑ¢í¢sbìbb)bÄ^"ÄõÄ£Å"ÅH`%Ô%B%ª$F$aIÉ`ÉJÉGR°"ªUªJê±4FZC:BºZú(tm)

  2. Artificial Intelligence &amp; Math

    File sharing without IM would be a lengthy process, usually done by uploading and then downloading e-mail attachments, which is obsolete compared with IM's direct transfer features. Voice conversations and videoconferencing are not only supported in many IM clients, but can be performed without previous notice.

  1. Maths Project. Statistical Analysis of GCSE results at my secondary school summer 2010 ...

    86 159 Co 6.5 28 34 m 62 158 Co 10 22 40 f 62 157 Co 9 46 52 f 98 156 Co 10 34 40 m 74 155 Cr 9 40 52 f 92 154 Cr 10 40 40 f 80 153 Cu 10 28 40 m 68

  2. The Population of Japan and Swaziland

    In other words, my population model thus far is. To find my a value I will plug in each set of corresponding values from the original table into the x and y variables in my model, , and solve algebraically for a.

  • Over 180,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work

Marked by a teacher

This essay has been marked by one of our great teachers. You can read the full teachers notes when you download the essay.

Peer reviewed

This essay has been reviewed by one of our specialist student essay reviewing squad. Read the full review on the essay page.

Peer reviewed

This essay has been reviewed by one of our specialist student essay reviewing squad. Read the full review under the essay preview on this page.