11th Class Past Papers Punjab Boards, Statistics Paper Annual 2023 Subjective New Course Paper 2023 Group 1st Bahawalpur Board, Past Papers Group 1st , First Annual Examination 2023 Solved Questions with Answers download Pdf Bahawalpur Board.

11th Class Statistics Paper Annual 2023 (Morning)
BISE Bahawalpur Board

Statistics
1st Year ( Inter Part 1)
Group 1st (Morning)
First Annual 2023
Time 2H 40 Minutes
Objective Total Marks : 68

Note : It is compulsory to attempt any (8 – 8) Parts each from Q. No,2 and Q.No.3 while attempt any (6) Parts from Q.No.4. Attempt any (3) Questions from Part — II .Write same Question No. and its Part No. as given in the Question Paper.

Make Diagram where necessary.

Question No.2 Attempt any 6 Parts.                  (8 x 2 = 16)

1. Describe any two limitations of ” Statistics “.
2. Define Statistics in Singular Form .
3. Define Average.
4. What are the types of Average ?
5. Compute Lower Quartile i-e Q₁ from the given data : 4 , 1, 3 , 7 , 5 , 9 , 2
6. If Σ( x – 15 ) = 5 , 1 ( x – 18 ) = 0 ,
   Σ ( x – 21 ) = – 21, what is the value of Mean ?
7. Define Geometric Mean.
8. Define Index Number.
9. Define Weighted Index Number.
10. Define Laspeyre’s Index Number.
11. Write down any two uses of Index Number.
12. If Σp_n q_n = 460 , Σ p_oq_n = 115 , find Paasche’s Index Number.

Q. No.3 Attempt any 6 Parts.           (8 x 2 = 16)

1. Define Tabulation.
2. What is Histogram ?
3. Differentiate between Absolute and Relative Dispersion.
4. Define Semi – Inter Quartile Range and its Coefficient.
5. If Q₁ = 88.03 and Q₃ = 94. 90 find Coefficient of Q.D.
6. What are types of Dispersion?
7. If n = 15 , Σ x = 480 , Σ X²= 15735 , then find C.V.
8. Define Mean Deviation.
9. Define Compound Event.
10. What are Equally Likely Events ?
11. What is Conditional Probability ?
12. Define Mutually Exclusive Events.

Q. No.4 Attempt any 6 Parts.           (6 x 2 = 12)

1. Define Bernoulli Trial.
2. What is Binomial Experiment ?
3. If n = 6 and q = 0.40 , then find Mean and Variance of Binomial distribution.
4. Write down two properties of Hypergeometric Experiment.
5. Given that N = 10 , n = 4 and k = 7 Then find Σ( x ) and S.D.(x) for Hypergeometric Distribution.
6. Give any two properties of Mathematical Expectation.
7. How Random Numbers are generated ?
8. Define Probability Distribution.
9. If Σ( x ) = 2 , then find Σ( 3x + 5 )

Part – II
(8×3 = 24)

Note: Attempt any Three Question from this Part.

Question No..5 (a) A Variable ” y ” is determined from a variable ” x ” by the equation y = 10 – 4x, find y when x = -3, -2, – 1 , 0 , 1 , 2 , 3 , 4 , 5 and show that ȳ = 10-4x̄.     (04)
Question No..5 (b) Find Mode from the following Data.     (04)

Question No.6 (a) Find the Coefficient of Variation from the following data.     (04)

Question No.6 (b) First three Moments about X = 60 are 1,4 and 10. Find the first three Moments about Mean and the Coefficient of Skewness.     (04)
Question No.7 (a) From the following Prices, Construct Chain Indices using Geometric Mean as an Average.     (04)

Question No.7 (b) Three Coins are tossed. What is the probability getting:     (04)
(i) Exactly

(ii) Heads

(iii) At most Two Tails

Question No.8 (a) Given the Probability distribution given of a r.v. “X”?     (04)

Find   (i) E(x)     (ii) E(x²) ?

Question No.8 (b) A Random Variable “X” has the following Probability Distribution:     (04)

Find .. (i)   K   (ii) P x < 2

Question No.9 (a) A fair coin is tossed four times. Find the Probability Distribution of Number of Heads.     (04)

Question No.9 (b) Ten Vegetable cans , all of the same size have lost their labels. It is known that 5 contain tomatoes and 5 contain Corns. If 5 cans selected at random , what is the Probability that 3 contain tomatoes ?     (04)

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