## Download "Fundamentals of Mathematical Statistics" Question Paper for BCA 1st Semester, Previous Years Question Paper for Students.

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## BCA-Bachelor of Computer Applications 1st SemesterFundamentals of Mathematical Statistics

Paper : BCA-16-102

Time Allowed: Three Hours Maximum Marks: 65

Note :-(1) Attempt one question from each unit and compulsory Question No. 9.

(2) Use of a non-programmable calculator is allowed.

UNIT-I

1. (a) Define Statistics. Explain various statistical techniques in detail. 7

(b) Differentiate among Arithmetic, Geometric and Harmonic Mean in detail  6

2. (a) What do you understand by Statistics ? Explain its uses and limitations in detail. 7

(b) Why Harmonic mean is calculated? Explain the methods for calculating simple HM for Discrete and Continuous series. 6

UNIT-II

3.  (a) Determine the value of Median: 7

(b) How mean deviation, standard deviation, and variance are calculated? Explain.

4. (a) Calenlate quartiles (lower, upper) and 9 decile : 7

(b) How do you compute the "Inter Quartile" and "Percentile" range? Explain

UNIT-III

5. (a) Why correlation analysis is required ? Explain "Scatter Diagram" and "Graphic Method" techniques in detail.

(b) Calculate Karl Pearson's coefficient of correlation using method of your choice :

6. (a) Define Correlation Analysis. Explain various types of Correlation in detail.

(b) Find the coefficient of concurrent deviation :

7. UNIT-IV

(a) What is Regression Analysis? Explain its objectives. Also, draw the difference between Correlation and Regression.

(b) Find regression equation X = a + bY for :

8. (a) What is Regression Coefficient ? Find both the Co-efficients :

(b) Define Regression. Explain its uses andlimitations. (Compulsory Question)

9. Explain :

(a) Central Tendency                 2

(b) Weighted Arithmetic Mean 2

(c) Weighted Geometric Mean 2

(d) Tabulation of Data 2

(e) Hexiles         2

(f) Rank Correlation 2