Acharya Nagarjuna University 1st Sem Statistics important questions for external exams are now available. by reading these questions you can get good marks in your external examinations. These questions are prepared by top examiners of ANU UPDATES team.

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**ANU Degree B.Sc 1st Sem Statistics important Questions Descriptive statistics (New Syllabus) **

UNIT-I

- Definition of Primary and Secondary data?
- What is Histogram?
- What is Frequency Polygon?
- What is Ogive Curve?
- Define Arithmetic Mean and its properties?
- Define Median and its properties?
- Define Mode and its properties?
- Define Geometric Mean and its properties?
- Define Harmonic Mean and its properties?
- Define Statistics and importance of statistics?

ESSAY TYPE QUESTIONS:

- Define Statistics and Importance and Scope of Statistics in different fields?
- State the various methods of collecting Primary data and discuss their merits and demerits?
- State the various methods of collecting Secondary data and discuss their merits and demerits?
- Define data and Explain Primary and Secondary data with their collection of methods?
- Derive the Median formula with the help of the graph?
- Derive the Mode formula with the help of the graph? What are various measures of Central Tendency? What are their merits and demerits?

UNIT-II

SHORT TYPE QUESTIONS:

- Define Standard Deviation and its properties?
- Define Quartile Deviation and its properties?
- Define Mean Deviation and its properties?
- Define Central and Non-Central moments?
- What is Sheppard’s corrections? Define Skewness and types of skewness?
- Define Skewness and Kurtosis?

ESSAY TYPE QUESTIONS:

- Define Measures of Dispersion and Explain their measures with merits and demerits?
- Define Central and Non-Central moments and Derive the relation between Central to Non-central moments?
- Define Skewness and Explain the measures of Skewness?
- Define Kurtosis and Explain the measures of Kurtosis?
- Explain the various methods of measuring Skewness and Kurtosis?
- What is Sheppard’s correction? What will be the correction for the first four moments?

UNIT-III

SHORT TYPE QUESTIONS:

- Explain the method of fitting of straight line?
- Define Curve fitting and with the principles of least squares?
- Define correlation coefficient and write its properties.
- Explain Scatter diagram and write its properties.
- Explain types of correlation. Explain multiple correlation coefficients.
- Explain the difference between correlation and regression.
- Define Bi-variate frequency distribution.
- Explain multiple correlation coefficients.

ESSAY TYPE QUESTIONS:

- Explain the method of fitting a Second degree parabola (or) Polynomial.
- Explain the method of fitting a Power curve.
- Explain the method of fitting a Exponential curve.
- What is bi-variate data and explain their principles of least squares.
- Define principles of least squares. Explain the procedure for fitting of straight line to the given data. Define correlation. State and prove properties of correlation coefficient.
- Derive the Spearman Rank correlation coefficient.
- What is multiple and partial correlation coefficient and its properties.
- Some simple problems on Correlation coefficient.

UNIT-IV

SHORT TYPE QUESTIONS:

- Define Regression and its properties.
- What is Regression lines of bi-variate data.

ESSAY TYPE QUESTIONS:

- Distinguish between correlation and regression coefficients. Give its properties.
- Define Regression and Obtain angle between X on Y and Y on X lines of regression?
- Some simple problems on Regressions.

UNIT-V

SHORT TYPE QUESTIONS:

- Define attributes, dichotomy, manifold classification.
- Define class and Class frequencies.
- Define Consistency of data.
- Derive 2X2 Consistency table. Give Yule’s coefficient of association and its limits.
- Give Yule’s coefficient of colligation and its limits.
- Define Mean Square Consistency.
- Define coefficient of Mean Square Consistency.
- What is independence of attributes and criterion of independence of attributes?

ESSAY TYPE QUESTIONS:

- Define Consistency and write the conditions of the consistency.
- Explain the concept of independence and association of two attributes give the measures of association of attributes. Show that for ‘n’ attributes A1, A2, A3, A4, ………An (A1, A2, A3,….An)≥(A1)+(A2)+…………+(An)-(n-1)N
- Show that Q=2Y/(1+Y2)

Note: 1. See the Simple Problems on (a) Correlation and Regression Chapters Only

**Prepared by **

V.UDAY KUMAR, M.Sc. ( PH.D.)

Lecturer in Statistics , APRDC, Nagarjunasagar

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