The Directorate of General Education (DGE), Kerala, successfully conducted the DHSE Plus Two Statistics Exam 2026 on March 7, 2026. For students aiming to verify their calculations and statistical interpretations, the complete Kerala Board Class 12 Statistics Question Paper with Solution PDF is now available for download. 

The Plus Two Statistics paper was a comprehensive test of mathematical and analytical concepts, focusing on Probability, Statistical Inference, Correlation, and Regression.

  • Objective and Short Answer Sections: These tested fundamental definitions of sampling distributions, hypothesis testing, and the properties of the Normal distribution.
  • Numerical and Calculation-Based Sections: Students were required to solve problems involving Index Numbers, Time Series analysis, and the calculation of ANOVA (Analysis of Variance) tables.

Kerala Board Class 12 Statistics Question Paper with Solution PDF

Kerala Board Class 12 Statistics Question Paper with Solution PDF Download PDF Check Solution
Kerala Board Class 12 Statistics Question Paper with Solution

Question 1:

The consumption of fuel and the distance covered by a vehicle is an example of ------------ correlation.

  • (A) Positive
  • (B) Negative
  • (C) Zero
  • (D) Can't say

Question 2:

The number of petals in a flower is an example of ----------- random variable.

  • (A) Qualitative
  • (B) Discrete
  • (C) Continuous
  • (D) Normal

Question 3:

E(X) = 4 then E(X - 2) = ------------

  • (A) 1
  • (B) 2
  • (C) 0
  • (D) 4

Question 4:

If \( b_{xy} = - 0.3 \) and \( b_{yx} = - 0.6 \), then the value of correlation coefficient is ------------.

  • (A) -0.18
  • (B) 0.18
  • (C) -0.36
  • (D) 0.36

Question 5:

Any control chart has _______ number of control limits.

  • (A) 2
  • (B) 1
  • (C) 4
  • (D) 5

Question 6:

A good estimator should be _______.

  • (A) Consistent
  • (B) Sufficient
  • (C) Efficient
  • (D) All of the above

Question 7:

Which among the following is an example of +ve correlation?

  • (A) Distance and Intensity of light
  • (B) Pressure and volume
  • (C) Height and distance
  • (D) Income and expenditure

Question 8:

Regression analysis is a mathematical measure of the _______ of relationship between two or more variables.

  • (A) Size
  • (B) Nature
  • (C) Degree
  • (D) Colour

Question 9:

The time taken by a student to reach the school is an example of _______ variable.

  • (A) Qualitative
  • (B) Discrete
  • (C) Continuous
  • (D) Normal

Question 10:

The ratio of two independent chi-square variables is _______.

  • (A) Normal
  • (B) t-statistic
  • (C) Chi-square statistic
  • (D) F-statistic

Question 11:

X+2Y=5 and 2X+3Y=8. Find the Mean of X and Y.


Question 12:

In bivariate data following results were obtained.

Mean value of X = 53, Mean value of Y = 27, byx = -1.5, bxy = 0.2. Find the regression equation of X on Y and Y on X.


Question 13:

Find the derivative of \( y = x^6 + 48x^3 + 24x - 16 \) with respect to \( x \).


Question 14:

Write the important assumptions of ANOVA.


Question 15:

A random sample from a population is given below. 35, 45, 40, 42, 39, 55 and 63. Obtain the moment estimator of the population mean.


Question 16:

A random sample of 100 is taken from a population. The mean and standard deviation are respectively 76 and 12. Obtain a 99% confidence interval for the mean of the population.


Question 17:

Equations of two lines of regression are \( 2x - 5y + 33 = 0 \) and \( 3x - 9y - 108 = 0 \). Which one is the regression line of \( y \) on \( x \)?


Question 18:

In a distribution exactly normal, 7% of the items are under 35 and 89% are under 63. Find the mean and standard deviation of the distribution.

Class 12 Statistics Most Important Theory