2nd Year Statistics Guess Paper 2026 PDF (All Punjab Board)

May 4, 2026 by Zahid

2nd Year Chemistry Guess Paper 2026 PDF (All Punjab Board)

12th Class Statistics Guess Paper 2026 (All Punjab Boards)

Are you looking for the most important questions for your 2nd Year Statistics exams? Here is the complete, chapter-wise question bank and guess paper for 12th class Statistics. This guess paper covers all critical short questions from Part-II to help you secure top marks in your annual board exams.

Note: This guess paper is valid for all Punjab Boards including Lahore, Gujranwala, Faisalabad, Multan, Rawalpindi, DG Khan, Sargodha, Sahiwal, and Bahawalpur.

Chapter 10: Normal Distribution

Important Short Questions:

Write p.d.f. of standard normal distribution.
Find the value of maximum ordinate for a normal distribution with mean 25 and variance 16.
If Z ~ N(0,1) then find the value of a such that P(Z > a) = 0.025.[cite: 2]
If X ~ N(40,49) find median and standard deviation.[cite: 2]
In a normal probability distribution, what are the first four moments about mean?[cite: 2]
In a normal distribution Q₁ = 8, Q₃ = 17. Find the value of mean and mode.[cite: 2]
If Z ~ N(0,1), then find P(|z| < 1.64).[cite: 2]
Write four properties of standard normal distribution.[cite: 2]
Find the ordinate of the standard normal curve at z = -0.84.[cite: 2]
Define standard normal distribution.[cite: 2]
Define the point of inflexion in a normal distribution.[cite: 2]
In a normal distribution μ = 24 and σ = 4. Find the fourth moment about mean.[cite: 2]
Find the standard deviation, if Q.D. = 3.3725 for a normal distribution.[cite: 2]
What is the relationship between mean, median and mode in a normal distribution?[cite: 2]
Define standardized normal distribution.[cite: 2]
In a normal distribution μ = 103 and Q₃ = 171.094, find the standard deviation.[cite: 2]
If Z ~ N(0,1), find P(Z < -1.645).[cite: 2]
Define normal frequency distribution.[cite: 2]
In a normal distribution μ₄ = 768, find μ₂.[cite: 2]
If X ~ N(25,25), find the value of maximum ordinate.[cite: 2]
In a normal distribution the Q₁ = 18 and Q₃ = 26. Find its mean and standard deviation.[cite: 2]
Define normal distribution.[cite: 2]
Write down the equation of normal curve.[cite: 2]
What is the range of a normal variable?[cite: 2]
What is the shape of the normal curve?[cite: 2]
In a normal distribution what are the values of μ₂ and μ₃?[cite: 2]
Write down the formulas for mean deviation, lower and upper quartiles in normal distribution.[cite: 2]
If Z ~ N(0,1) find P(Z < -1.96).[cite: 2]

Chapter 11: Sampling Techniques and Sampling Distributions

Important Short Questions:

Define sample and sampling.[cite: 2]
Explain sampling with replacement and without replacement.[cite: 2]
Define sampling distribution of means.[cite: 2]
Find σ_x̄ if σ² = 2.25 and n = 4.[cite: 2]
If n₁ = n₂ = 2 and P₁ = 1/3, P₂ = 2/3 find E(P̂₁ – P̂₂) and σ_P̂1-P̂2? Here P₁ and P₂ are population proportions.[cite: 2]
What is population?[cite: 2]
What is non-sampling error?[cite: 2]
Explain the properties of the sampling distribution of a mean.[cite: 2]
Distinguish between finite and infinite population.[cite: 2]
Given N₁ = 3, n₁ = 2, and N₂ = 4, n₂ = 2. If σ₁² = 8/3 and σ₂² = 5/4. Find var(X̄₁ – X̄₂) when sampling is done without replacement.[cite: 2]
Define sample survey.[cite: 2]
Define the meaning of census.[cite: 2]
Define sampling.[cite: 2]
What do you mean by non-probability sampling?[cite: 2]
If σ = 4, N = 2, n = 10, find σ_x̄, if sampling is done with replacement.[cite: 2]
Define random digits in sampling.[cite: 2]
What is meant by parameter?[cite: 2]
Define sampling error.[cite: 2]
Describe sampling units.[cite: 2]
Write two advantages of sampling.[cite: 2]
Given n₁ = 30, n₂ = 25, σ₁² = 300 and σ₂² = 150. Find σ_x̄1-x̄2.[cite: 2]
Define parameter and statistic.[cite: 2]
What is meant by bias?[cite: 2]
Take all possible samples of size 2, without replacement from the following population: 2, 4, 6, 8, 10.[cite: 2]
Take all possible samples of size 2 with replacement from the following population: 2, 4, 6, 8, 10.[cite: 2]
What do you know about sampling frame?[cite: 2]
What is sample design?[cite: 2]
Explain the term non-sampling error. How is it reduced?[cite: 2]
What is probability sampling?[cite: 2]
For finite population of size N = 4, find σ_x̄ if μ = 6, σ = 5 and n = 2.[cite: 2]
A population consists of values 0, 3, 6, 9. How many possible samples should be drawn without replacement of size 3?[cite: 2]

Chapter 12: Estimation

Important Short Questions:

Explain what is meant by statistical estimation.[cite: 2]
Given n = 4, ΣX = 120, Σ(X – X̄)² = 303, compute the best unbiased estimates of the population mean μ and of variance σ².[cite: 2]
Define interval estimation.[cite: 2]
Differentiate between estimate and estimator.[cite: 2]
What is meant by estimation?[cite: 2]
Write down only the names of the properties of a good estimator.[cite: 2]
Explain statistical inference.[cite: 2]
What is meant by unbiasedness?[cite: 2]
Write a short note on critical region.[cite: 2]
If X̄ = 100, σ = 8 and n = 64, set up a 95% confidence interval for μ.[cite: 2]
Distinguish between point estimate and interval estimate.[cite: 2]

Chapter 13: Hypothesis Testing

Important Short Questions:

Distinguish between null hypothesis and alternative hypothesis.[cite: 2]
Define simple hypothesis.[cite: 2]
If α = 0.05 what will be the value of Z_α/2?[cite: 2]
What are the assumptions of student’s t-statistics?[cite: 2]
Define level of significance.[cite: 2]
Given X̄ = 28, μ₀ = 28. Find the value of z-score.[cite: 2]
Define acceptance region.[cite: 2]
Define a type-I error.[cite: 2]
What is meant by critical value?[cite: 2]
Explain simple and composite hypothesis.[cite: 2]
Write down the steps in testing hypothesis of population mean μ, when the sample size is large.[cite: 2]
Explain level of significance.[cite: 2]
Given n₁ = 6 and Σ(X₁ – X̄₁)² = 6500, n₂ = 8 and Σ(X₂ – X̄₂)² = 1000, find Sp.[cite: 2]
Differentiate between acceptance region and rejection region.[cite: 2]

Chapter 14: Simple Linear Regression and Correlation

Important Short Questions:

Express two properties of regression line.[cite: 2]
What is meant by intercept?[cite: 2]
Differentiate between regressor and regressand.[cite: 2]
Write any two formulae of correlation co-efficient.[cite: 2]
Given S_xy = 16 and S_x . S_y = 81, find r_xy.[cite: 2]
Write down any two properties of correlation co-efficient.[cite: 2]
Sketch scatter diagram indicating negative correlation.[cite: 2]
Explain the term regression co-efficient.[cite: 2]
Given x = 2, 4, 6 and y = 4, 4, 4. Find simple correlation co-efficient.[cite: 2]
Write the relationship between regression coefficient and correlation coefficient.[cite: 2]
What is curve fitting?[cite: 2]
If Σ(X – X̄)(Y – Ȳ) = 8400 and Σ(X – X̄)² = 2800, find b_yx.[cite: 2]
What is difference between correlation and correlation coefficient?[cite: 2]
Interpret the meaning when r = 0.[cite: 2]
Define negative correlation and positive correlation.[cite: 2]
Define regression analysis.[cite: 2]
The regression equations of x on y is x = 40.7 – 0.587y and of y on x is y = 20.8 – 0.912x, find r_xy.[cite: 2]
Given that n = 15, S_y = 16.627, S_x = 7.933 and Σ(X – X̄)(Y – Ȳ) = 8400, find b_yx and b_xy.[cite: 2]
Explain the difference between fixed variable and random variable.[cite: 2]
Given X̄ = 40, Ȳ = 180 and b = 2, find the value of intercept “a”.[cite: 2]
If b_yx = 1.6 and b_xy = 0.4, find the value of r_xy.[cite: 2]
Given b_xy = -0.86, b_yx = -0.85 find r_xy.[cite: 2]
Define simple linear regression.[cite: 2]
Find the slope and intercept of the line whose equation is 3x – 5y = 20.[cite: 2]
Given Σ(X – X̄)(Y – Ȳ) = 0, Σ(X – X̄)² = 10, Σ(Y – Ȳ)² = 10 and n = 5, find the coefficient of correlation.[cite: 2]
Explain the method of least square.[cite: 2]
What is the range of the correlation coefficient “r”?[cite: 2]
If r = 0.48, s_xy = 36, s_x² = 16, find the value of s_y.[cite: 2]
Explain scatter diagram.[cite: 2]
What are the parameters of the simple linear regression model?[cite: 2]
Explain the term residual.[cite: 2]

Chapter 15: Association of Attributes

Important Short Questions:

Define contingency table.[cite: 2]
Define rank correlation.[cite: 2]
Give formula for Spearman’s rank correlation.[cite: 2]
Give formula for Yule’s co-efficient of association.[cite: 2]
Define class and class frequency in contingency table.[cite: 2]
Define the term dichotomy for attributes.[cite: 2]
What is positive and negative association?[cite: 2]
What is a contrary class?[cite: 2]
Define independence of attributes.[cite: 2]
Whether the two attributes are independent or associated for the given data: N = 1024, (A) = 640, (B) = 384 and (AB) = 54.[cite: 2]
Given that x² = 20.178, if d.f. = 4, α = 0.01, find table value of x² (chi-square).[cite: 2]
What is the difference between attribute and variable?[cite: 2]
Explain the term association of attributes.[cite: 2]
Interpret the meaning of Q = +1.[cite: 2]
Given (AB) = 30, (A) = 40, find (Aβ).[cite: 2]
What is perfect positive association?[cite: 2]
Define chi-square.[cite: 2]
Given (A) = 200, (B) = 800 and N = 1000, find (AB) assuming A and B are independent.[cite: 2]

Chapter 16: Analysis of Time Series

Important Short Questions:

Define analysis of time series.[cite: 2]
Write down main components of time series.[cite: 2]
Write two merits of moving average method.[cite: 2]
Define seasonal variations.[cite: 2]
Define principle of least square.[cite: 2]
Write down two properties of least square line.[cite: 2]
Enlist the different methods of measuring secular trend.[cite: 2]
Define time series in short.[cite: 2]
Write down four phases of a business cycle.[cite: 2]
Given that ΣX = 0, ΣY = 245, ΣX² = 28, ΣXY = 66 and n = 7. Fit linear trend.[cite: 2]
Explain irregular trend.[cite: 2]
Give two examples of seasonal trend.[cite: 2]
Write the names of methods to measure secular trend.[cite: 2]
Define signal.[cite: 2]
Define stationary time series.[cite: 2]
Define the term secular trend.[cite: 2]
Define noise.[cite: 2]
Write down two advantages of the semi-average method.[cite: 2]
What is historigram?[cite: 2]
Give any two examples of cyclical variations.[cite: 2]
Explain two models of time series.[cite: 2]
Define seasonal variation and give examples.[cite: 2]

Chapter 17: Orientation of Computers

Important Short Questions:

Differentiate between hardware and software.[cite: 2]
What is secondary storage? Explain with examples.[cite: 2]
What is computer software?[cite: 2]
What is compiler?[cite: 2]
Define central processing unit.[cite: 2]
What is a super computer?[cite: 2]
What do you understand by ALU?[cite: 2]
What is meant by programming?[cite: 2]
What is a minicomputer?[cite: 2]
What do you know about DOS?[cite: 2]
Write down the names of different computers.[cite: 2]
What is CPU?[cite: 2]

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