MeanMedianMode: Project based Learning Mean Median & Mode

Learning Statistics

Project by students( Class IX)
Kendriya Vidyalaya,Fort William ;Teacher Pratima Nayak

Why the project?

People sometimes give a comment about something or make predictions without knowing the exact procedure of making decission or making prediction.We say sachin Tandulkar is the best.some says Bryan Lara is the best.To decide a good cricketer we need batting average ,scoring average not the total scores .The students as well as the public should know the exact procedure to make a decission and prediction about income,poverty line and annual budget etc.

Essential question or problem that this project addresses:-

Who is the best cricketer?

Curriculum standards:-
Meaning of statistics,
steps of statistics,
collection of data,data analysis,graph plotting.
mean,median,mode calculation and their uses in daily life.

Expected outcomes:-
The students will learn
• Concept of central tendency.
• Steps and procedure of statistics.
• Calculation of mean, median, mode .
• Appropriate use in daily life to make some declaration and making decission and future prediction about the population ,sex ratio ,average income etc.
. It will develop the 21st century skills technology,team work,creativity,comminication,critical thinking,self direction etc.

Required resources:

Text Books and other books.
Internet
Technology expert(may be the teacher)
computer

How will this project help the class, school, community or world?
The purpose of the project is to create knowledge among students and to contribute the knowledge in the development of tools to help people transform statistics(mean,median and mode) into knowledge and decisions about the average salary,average income of a country ,poverty line .

The project aims at constucting knowledge about the use of statistics which is beyond the traditional stastistics that only calculation of mean,median and mode.

For capturing their artifacts thinkquest pages will be the medium.

Timeline: 25 Aug, 2013 - 27 Apr, 2014
Category: Mathematics

Mean Median Mode

Sometimes we find that the people make a decision about a fact without verifying .If we ask who is the best cricketer some says "Sachin Tendulkar",some replies "M.S.Dhoni".As they do not know the exact procedure of judging a cricketer. The purpose of the project is to *create knowledge of statistics and decision making. *You will know the procedures required to make a decision. *You will contribute the knowledge in the society. *You will learn the technology to calculate mean,median,mode .(using computer). *It will develop communication skill,team work spirit and technology skill.

WHAT ARE THE ACTIVITIES WE HAVE TO DO?

*We have to do a research work in the library and surfing internet to find about what is statistics,what are the procedures,what are the tools,formulae used for . *We have to use an interaction tool for more knowledge. *We will survey in the school canteen to find what is the total sale for 6 days continuosly to find mean sale. *We have collect marks in a particular subjects in a paricular test to find mean and median. *we will collect the data about any information(favourite cricketor) to find mode. *From the time to time according to the teacher's instuction we have to upload the findings in thinkquest pages.

31 Dec, 2008

HOW WE ARE GOING TO DO IT?

PRE-LAUNCH ACTIVITIES:

Brainstorming: * Asking the essential question. * A table showing the scores of last cricket matches will be shown as supportive document for excitement and motivation. *Inviting a cricketer:/PET for explaining.

LAUNCHING ACTIVITY:

In front of the principal of the the school on the sane day the project will be launched . Next day,the names of the project and the members will be announced. If possible a badge showing the project name will be presented to each of the members. ALLOCATION OF ROLES: The students will be divided in to 4 groups of 5 members. One student will be a group leader and other 4 students will be members. Group leaders will have more responsibility.

What will be the product?

Learning products—(Culminating Product) · Report presentation on reseach work(WHO IS THE BEST CRICKETER). .Report reading / Power point presentation based on the use of mean,median and mode. . Power point presentation · Research reports to be included in the presentation. · Display showing the frequency distribution table ,chart and calculation of mean. Display showing the procedure for calculating median. Display showing the procedure for calculating mode. At last we will be organising an exhibition to show our finding to others.

Role assignment

Ramanujan Team Leader Chitra Dewanji
Team members 1.Rishav 2.Karan 3.Moumita 4.Anwesha Das 5.Shreyas
Pythagoras Team Leader Devoy
Team members 1.Prashant 2.Gangesh 3.Arijit 4.Guru Manna
Euclid Team Leader Anushree Das
Team members: 1.Sujay Dalai 2.Nidhi 3.Shammi 4.Ananya
Euler Team Leader Vivek Gupta
Team Members 1.Nishay 2.Saurabh 3.Eva Ipsita 4.Agrima

TASKS
The whole task is sub divided in to small tasks.
TASK-1 Research work in the library and in the internet to find how a cricketer is judged. Each group will present the Research Report in Power point presentation. See the evaluation criteria on page of "evaluation criteria"
TASK-2 Research work in the library and in the internet to find the use of mean and median and mode. Each group will prepare the Research report in MS Word document. See the evaluation criteria on page of "evaluation criteria" The students can take the help of message board,vote,debate to find the answers. The time line for both the tasks is 02.01.14
TASK- 3

Statistics of class-IXD students in half yearly examination. Each group will collect the marks of individual students in a particular subject. Euler - English Euclid - Science Ramanujam - Social Studies Pyathagoras - Mathematics They will collect the data,make the frequency table,draw the histogram and calculate the mean . They have to represent whole procedure with power point presentation. Each group will make some prediction based on the mean calculation. The work will be evaluated on the basis of power point Rubric mentioned on the page of evaluation.

TASK-4
Each group will collect the marks of 2nd unit test of their group members. Each sdudent will calculate mean,median and mode using MS.Excel. Each sudent will upload the page in the page of integration with technology.

TASK- 5

Each group will name five players to be included in IPL-2009. Each individual may predict 5 players who will play better in IPL-2009. They should explain the statistics on the base of which they make the conclusion. They may include the previous records,graphs continuity and other things which are necessary for the predictions.

Research Report

Statistics is a very important branch of mathematics and Mean, Median and Mode has worthful position in statistics. So we thought of doing this project to enhance our knowledge on the use if mean, median and mode.

Today’s world has become information oriented and thus it has urged us to learn to extract information from a whole lot of data. This is what we call statistics.

One ways of summarizing data is through the process of finding their average or arithmetic mean. It is calculated by adding the observation and then dividing it by the number of observation. It is an important aspect of statistics and we deal with it at every step of our life. We all love sports and generally it is referred to cricket. During the last test matches we often heard from the T.V commentators that India is doing well in these matches. These comments were based on the average score retrieved by India in these test matches. A teacher uses mean for calculating the average marks scored by the students. It is extensively used in practical statistics. Estimates are always obtained by arithmetic mean. Business man uses it to find out the operation cost, profit per unit article, and output per man and per machine, average monthly income and expenditure. It has its extensive use in diet chart. The average height and weight of a child is very important for the well being.

The second important aspect is median. The middle of an arranged data is called its median. The good thing about median is that it can be represented graphically. It is used when it concerns difference in blood pressure of a person is to be noted, while calculating matters regarding salary in an office, median is also used. It also finds its use in formation of the poverty line.

The last but not the least is mode. The most common frequency of the data is called its mode. In general people comment on a sportsman by seeing the number of records made by them. In cricket a cricketer is judged by the number of centuries made by him in the last few matches (the mode is then the centuries). While choosing something it is mode which is used (by counting the number of supporters). The elections which are held for determining the next big power also implies the policy of mode. The popularity of films is judged by the number of viewers saying good things regarding the film.

Thus, we can see how important mean, median and mode is in our life and how big impact it has on us without our knowledge. So to know more on the most obvious branch of mathematics we start with mean, median and mode.

Author: Chitra Dewanji

As told by: Anwesha Das and Moumita Dey

Group: Ramanujam

Resources LINK TO WEBSITE FOR RESEARCH

http://www.mste.uiuc.edu/hill/dstat/dstat.html

for meaning of statistics,central tendency,mean,median,mode.

http://glass.ed.asu.edu/stats/

Statistics

batting average

http://en.wikipedia.org/wiki/Batting_average

batting average

http://www.theinternethittingcoach.com/batting-average.html#examples