PLUS TWO MODEL QUESTION PAPER

പുതുക്കിയ സിലബസ് പ്രകാരമുള്ള മോഡൽ ചോദ്യപേപ്പർ പ്രസിദ്ധീകരിച്ചു.
ചോദ്യപേപ്പറിനു ഇവിടെ ക്ലിക്ക്  ചെയ്യുക.
അഭിപ്രായങ്ങൾ കമന്റ് ചെയ്യുക.

PRACTICAL GUIDELINES

 The   subject   statistics   has   a   wide   range   of   practical   application   in   all   walks   of   life.               Use   of   proper data and its analysis are very importance.In the present scenario of outcome based approach, the learning activities should go hand in hand with the related practical situations. Now a day’s almost all data analysis can be successfully done using computers.

The   guidelines   for   conducting   practical   examination   for   higher   secondary   STATISTICS   are   given below in detail.

There will be Practical Evaluation only for second year students ,but the portions from first year
also included in examination .Teachers can conduct lab works in first year itself (if needed),but the
final assessment  will be done only at the end of second year.

Maximum Score : 40           Maximum time allowed: 3 hrs.

Topics for PE 
    1.          Diagrams and graphs

              Simple Bar diagram,    Multiple  bar   diagram,     Sub divided    bar  diagram,
              Percentage     bar  diagram,    pie diagram, Histogram, Scatter diagram, 
              Control charts using line charts(SQC).

   2.          Descriptive    statistics

               Construction      of  frequency     table,   Mean,    median,  mode,  quartiles,  
               skewness, kurtosis.    Normal probability,Poisson probability , 
                Binomial probability 

   3.      Correlation and Regression
  
              Karl   Pearson’s   coefficient   of  correlation,   Regression equations,    
              Forecasting using  Regression equations,Trend  line fitting (straight   line),   
              Estimation   of   trend values, moving averages. 

    4           Testing of Hypothesis  

             Z test - two sample for means,          Ftest – ANOVA one variable, 
              Chi square test for independence.



Evaluation Process

The question paper contains four sections related to the topics given above which will be supplied
by DHSE to the external examiner. Each section carries 4 questions. External examiner can prepare
question    paperconsists  of  four  questions.  External   examiner  should  ensure  that  there  is  one
question from each section. Change of question paper may be allowed with a penalty of 2 scores
for each change.

Each question carries 8 scores.                               8x4 =    32 scores
Record work.                                                                      4 scores
Content awareness/Viva voce                                              4 scores

                                                      Total           40 scores

Score distribution for each question:

    1.  Identifying the questions               …………………………………………..             1
    2.  Data entry                              …………………………………………..                  2
    3.  Selecting appropriate statistical tool  …………………………………………..         2
    4.  Processing the data                     …………………………………………..              2
    5.  Interpretation of the result/conclusion …………………………………………..        1

        Total Scores                            …………………………………………..                  8

*** All the problems should be done using computer

        For practical examination

             Computerized procedure
             Output of the problem
             Inference


Contents of Record

*Different types of problems from the PE topics cited above.

1        Diagrams and graphs

        Simple Bar diagram                         - one problem
        Multiple bar diagram                       - one problem
        Sub divided bar diagram                 - one problem
        Percentage bar diagram                   - one problem
        Pie diagram                                     - one problem
        Histogram                                        - one problem
        Scatter diagram                                - one problem
        Control charts                                  - one problem

                                                               8    problems

2        Descriptive  statistics

        Construction of frequency table                                       - one problem
       Mean, median, mode, quartiles, skewness, kurtosis.         - one problem
        Normal probability                                                         - one problem
        Poisson probability                                                         - one problem
      Binomial probability                                                          - one problem

                                                                                               5 problems
3       Correlation and Regression

        Karl Pearson’s coefficient of correlation                 - one problem
        Regression equations                                             - Two problems ( Yon X  and XonY)
        Forecasting using Regression equations                  - one problem
        Trend line fitting (straight line)                                 - one problem
        Estimation of trend values                                       - one problem
        Moving averages                                                   - two problems (odd,even cases)

                                                                                    8 problems 
4        Testing of Hypothesis

        Z test - two samples for means                 - two problems
                                                                        (Population SD known & unknown)
       F test – ANOVA one variable                   - two problems (Row and Column)
       Chi square test for independence               - one problem

                                                                           5 problems
Total 26 problems

Structure of Record:

     Aim                                       : The objective of the problem.
     Principle                                : Theory of the problem.
     Computational procedure       : The PATH for solving the problem using computer.
     Data analysis                         : Computer printout or manual write up.
     Inference                               : Interpretation / conclusion.

Reference

Statistics made simple do it yourself on PC, by K.V.S.Sarma, Prentice- Hall of India Pvt. Ltd.
Any book related to these areas.

SECOND WSD (World Statistics Day)

 

20.10.2015

Official statistics help decision makers develop informed policies that impact millions of people. Improved data sources, sound statistical methods, new technologies and strengthened statistical systems enable better decisions that eventually result in better lives for all of us. On 20 October 2015, the global statistical community will showcase their achievements and their ongoing work to help this vision come true.
World Statistics Day was celebrated for the first time on 20 October 2010 worldwide. The United Nations Statistical Commission declared the day. As of 2010, 103 countries celebrate a national Statistics Day, including 51 African countries that jointly celebrate African Statistics Day annually on 18 November.

Background

At its 41st Session in February 2010, the United Nations Statistical Commission proposed celebrating 20 October 2010 as World Statistics Day (Decision 41/109).
Acknowledging that the production of reliable, timely statistics and indicators of countries’ progress is indispensable for informed policy decisions and monitoring implementation of the Millennium Development Goals, the General Assembly adopted on 3 June 2010 Resolution A/64/267, which officially designated 20 October 2010 as the first ever World Statistics Day. WSD was celebrated every five year.

2015 Theme: “Better data, better lives”

This is the second World Statistics Day.  This year’s theme emphasizes the critical role of high-quality official statistical information in analysis and informed policy decision-making in support of sustainable development. It also reflects the importance of sustainable national statistical capacity to produce reliable and timely statistics and indicators measuring a country’s progress.
The UN General Assembly decided with resolution 69/282 to celebrate the day every five years from now on. 
The Assembly also noted that 2015 marks the bicentenary of the birth of George Boole, whose work on the application of the principles of logic as a form of algebra underpins modern computer science. The first World Statistics Day was celebrated in 2010, as decided in resolution 64/267, and was deemed an overwhelming success, with activities organized in more than 130 Member States and by at least 40 international and regional organizations and entities

 WSD 2015 Launch video

 ACTIVITIES IN INDIA

The C.R. Rao Advanced Institute of Mathematics, Statistics and Computer Science (AIMSCS) located in Kolkata is organizing a talk entitled “Better statistics, better lives” by Dr TJ Rao, Former Chairman, National Sample Survey, Former Professor, Indian Statistical Institute, Kolkata.The event will take place on 20 October 2015, 4pm at the Auditorium, RAMANUJAN Building, AIMSCS, University of Hyderabad Campus, Prof CR Rao Road, Gachibowli, Hyderabad-500 046.

On the occasion of World Statistics Day, the Department of Community Medicine, Himalayan Institute of Medical Sciences of the Swami Rama Himalayan University is conducting the First Annual Symposium on Clinical Biostatistics on 20 October 2015 under the theme of: “Application of Bio statistical methods in Epidemiological study designs”. The annual symposium on Clinical Bio-Statistics 2015 is a scientific forum for national exchange of theory, methods and applications of biostatistics in medical research and practice. It will enable participants to know the pre requisites for application of various statistical methods and to select the appropriate test for the study designs as well as interpretation.The symposium is intended for statisticians, clinicians and members of other disciplines, such as epidemiologists, clinical chemists and clinical pharmacologists, nursing & other paramedical staff, interested in the field of clinical biostatistics.

The School of Bio-Technology of the National Institute of Technology Calicut (NITC) in Keralam, Bharatham (India) is inviting NITC staff to a workshop on “Statistical Principles in Live Sciences” on World Statistics Day.

Useful links

Official website - WSD 2015

World of Statistics
FACEBOOK 

Share Your Celebrations in this Blog

STATISTICS DAY

The National Statistics Day - June 29 is the birthday of Prof. P  C Mahalanobis.

P.C. Mahalanobis
	Statistician, 1893-1972
The Plan Man
The lasting contributions of P.C. Mahalanobis were the setting up of large-scale surveys, the application of statistical theory to a variety of Indian problems and the creation of institutions within which such work could be continued.
"In India, there’s lack of appreciation of the need to cross-examine data, the responsibility of a statistician." P.C. Mahalanobis, in full Prasanta Chandra Mahalanobis   (born June 29, 1893, Calcutta [now Kolkata], India—died June 28, 1972, Calcutta), Indian statistician who devised the Mahalanobis distance and was instrumental in formulating India’s strategy for industrialization in the Second Five-Year Plan (1956–61). Born to an academically oriented family, Mahalanobis pursued his early education in Calcutta (now Kolkata). After graduating with honours in physics from Presidency College, Calcutta, in 1912, he moved to England to study physics and mathematics at the University of Cambridge. Just before Mahalanobis left the university in 1915, he was introduced to statistics by one of his tutors. When he returned to India, he accepted a temporary position teaching physics at Presidency College, and he became a professor of physics there in 1922. However, his interest in statistics had evolved into a serious academic pursuit, and he applied statistical methods to problems in anthropology, meteorology, and biology. On December 17, 1931, he established the Indian Statistical Institute in Calcutta. Mahalanobis devised a measure of comparison between two data sets that is now known as the Mahalanobis distance. He introduced innovative techniques for conducting large-scale sample surveys and calculated acreages and crop yields by using the method of random sampling. He devised a statistical method called fractile graphical analysis, which could be used to compare the socioeconomic conditions of different groups of people. He also applied statistics to economic planning for flood control. With the objective of providing comprehensive socioeconomic statistics, Mahalanobis established the National Sample Survey in 1950 and also set up the Central Statistical Organization to coordinate statistical activities in India. He was also a member of the Planning Commission of India from 1955 to 1967. The Planning Commission’s Second Five-Year Plan encouraged the development of heavy industry in India and relied on Mahalanobis’s mathematical description of the Indian economy, which later became known as the Mahalanobis model. Mahalanobis held several national and international portfolios. He served as the chairman of the United Nations Sub-Commission on Sampling from 1947 to 1951 and was appointed the honorary statistical adviser to the government of India in 1949. For his pioneering work, he was awarded the Padma Vibhushan, one of India’s highest honours, by the Indian government in 1968.

GPF - Credit Card

GPF credit card for the year 2014-15 is published. Click Here for your credit card.

REGRESSION ANALYSIS

Watch the following videos about Regression Analysis.
1. Video 1
2. Video 2
3. Video 3

SCHEME PROPOSED (Revised)

THE SCHEME FOR XII STATISTICS IS REVISED. Click Here for the revised scheme.

SCHEME - PROPOSED (Revised)

The proposed scheme of work for XII Statistics.

No	Name of Unit	No of Periods	Weight	Month
1	Correlation Analysis	15	4	June
2	Regression Analysis	14	5	June
3	Elementary Calculus	12	4	July
4	Random Variables	15	5	July
5	Discrete Prob Distributions	10	4	August
	Revision	6		August
6	Normal Distribution	12	5	September
7	Sampling Distribution	11	4	September
8	Estimation of Parameters	10	4	October
9	Testing of Hypothesis	18	5	October
10	Analysis of Variance	10	5	November
11	Statistical Quality Control	14	5	November
12	Time Series Analysis	18	5	December
	Revision	7		December
13	Index Numbers	14	5	January
	Revision	14		January            February
	Total	200	60

Teacher text (Handbook) Draft - First two chapters

SCERT ടീച്ചർ റ്റെക്സ്റ്റി ന്റെ  ആദ്യ രണ്ടു പാഠങ്ങളുടെ ഡ്രാഫ്റ്റ്‌ പ്രസിദ്ധീകരിച്ചു. താഴെ കാണുന്ന ലിങ്കിൽ അത് നിങ്ങള്ക്ക് ലഭ്യമാകും.
Stat. Teacher text two chapters (Draft)

കമന്റുകൾ പ്രതീക്ഷിക്കുന്നു.

XII Statistics - First two chapters

രണ്ടാം വർഷത്തെ ടെക്സ്റ്റ് ബുക്കിന്റെ ആദ്യത്തെ രണ്ട് പാഠങ്ങൾ SCERT പ്രസിദ്ധീകരിച്ചു. താഴെ കാണുന്ന ലിങ്കിൽ നിങ്ങൾക്ക് അത് ലഭ്യമാണ്.
Statistics XII - First two chapters

Comment  കളും Review  കളും പ്രതീക്ഷിക്കുന്നു. നിങ്ങളുടെ  അഭിപ്രായങ്ങൾ തീർച്ചയായും അറിയിക്കുക.

Higher Secondary Statistics XII - syllabus

രണ്ടാം വര്ഷ ഹയര് സെക്കണ്ടറി ക്ലാസ്സിലെ പുതുക്കിയ സിലബസ് കാണുക. അധ്യാപകര്ക്കും കുട്ടികള്ക്കും വളരെ സഹായകരമാണ്.കൂടുതൽ വിവരങ്ങൾ തുടര്ന്നും പ്രതീക്ഷിക്കുക

STATISTICS – CLASS XII

Syllabus

1.       Correlation Analysis

1.1.    Meaning of Correlation

1.2.    Types of Correlation - Positive, Negative, Zero

1.3.    Methods of studying Correlation – Scatter diagram, coefficient of correlation.

1.3.1     Scatter diagram

1.3.2     Coefficient of Correlation:

                              Karl Pearson’s coefficient of correlation,

                              Spearman’s Rank correlation

2.       Regression Analysis

2.1.    Concept of Regression.

2.2.    Regression Lines.

2.2.1.       Principle of Least Squares.

2.2.2.       Equation of Regression Lines.

2.2.3.       Properties of regression coefficients.

2.2.4.       Identification of Regression Lines.

2.3.     Relation between Correlation and Regression.

3.       Elementary Calculus

3.1.    Differentiation

3.1.1.        Concept and Meaning.

3.1.2.        Derivatives of Polynomial functions.

3.1.3.        Successive Differentiation.

3.1.4.        Increasing and decreasing functions- turning points.

3.1.5.        Maxima and Minima

3.2.    Integration

3.2.1.        Concept and Meaning

3.2.2.        Integrals of Polynomial Functions

3.2.3.        Definite integrals

4.       Random Variables

4.1.    Random Variables- Discrete and Continuous

4.2.    Discrete Random Variables

4.2.1.      Probability mass function (pmf)

4.2.2.      Cumulative Distribution Function (cdf)

4.2.3.      Mathematical Expectation , Mean and Variance

4.3.    Continuous Random Variables

4.3.1.      Probability density function (pdf)

4.3.2.      Cumulative Distribution Function (cdf)

4.3.3.      Mathematical Expectation , Mean and Variance

5.       Discrete Probability Distributions

5.1.    Binomial Distribution

5.1.1.        Bernoulli trial

5.1.2.        Probability Mass Function

5.1.3.        Mean and Variance

5.1.4.        Problems on Binomial Distribution

5.2.    Poisson Distribution

5.2.1.                        Probability Mass Function

5.2.2.                        Mean and Variance

5.2.3.      Poisson Distribution –  An approximation of Binomial Distribution

5.2.4.      Problems on Poisson Distribution

6.       Continuous Probability Distributions

6.1.    Normal Distribution

6.1.1.            Normal Probability Density function

6.1.2.            Mean and Variance

6.1.3.            Normal curve and its properties.

6.2.    Standard Normal Distribution

6.2.1.            Z – transformation and Z – score

6.2.2.            Standard Normal Tables

6.3.    Problems on Normal Distributions.

7.       Sampling  Distributions

7.1.    Parameter and Statistic

7.2.    Sampling Distribution and Standard Error

7.3.    Probability Distribution of Sample Mean

7.4.    Central Limit Theorem (statement only)

7.5.    Chi-Square , Student’s  t and Snedecor’s F statistics

7.5.1.            Definition

7.5.2.            Properties

7.5.3.            Relationship

7.5.4.            Statistical tables

8         Estimation of parameters.

8.1       Statistical inference

8.2       Estimation of Parameters

8.2.1  Point Estimation

8.2.2  Properties  of a Good Estimator

Unbiasedness, Consistency, Sufficiency and Efficiency

8.2.3  Method of Moments

8.2.4  Interval Estimation

8.2.5  Interval Estimation of Sample Mean

9         Testing of Hypothesis

9.1       Statistical Hypothesis

9.2       Test statistic and Critical Region

9.3       Type I and Type II Errors

9.4       Level of Significance and Power of Test

9.5       Test for significance of Single Mean (small sample & large sample)

9.6       Test for significance for equality of two Means (large sample)

9.7       Chi-square test for independence of attributes

10     Analysis of Variance

10.1      Causes of variations

10.2      Assumptions underlying ANOVA

10.3      One way ANOVA

11     Statistical Quality Control

11.1      Meaning of  Quality

11.2      Causes of variations

11.3      Variable Control Charts (

11.4      Attribute Control Charts (D chart)

12     Time Series Analysis

12.1        Components of Time series

12.2        Trend analysis

12.2.1      Free- hand curve method

12.2.2      Method of semi averages

12.2.3      Method of moving averages

12.2.4      Method of least squares

13     Index Numbers

13.1      Classification of Index number- Price Relative, Price index number, Quantity index number

13.2      Types of Index numbers- Simple Index Number(Simple AM, Simple GM, Simple HM, Simple Aggregate Method),Weighted Index number ( Laspayre’s, Paasche’s , Fisher’s and weighted aggregate Index Numbers)

13.3      Consumer Price Index (Cost of Living Index) Number

13.4      Characteristics of Index numbers

13.5      Uses of Index Numbers.