List of top Statistics Questions asked in Kerala Plus Two(Class 12)

Find the derivative of \( y = x^6 + 48x^3 + 24x - 16 \) with respect to \( x \).
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.
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.
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 \( x \)?
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.
Write the important assumptions of ANOVA.
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.
Regression analysis is a mathematical measure of the _______ of relationship between two or more variables.
The time taken by a student to reach the school is an example of _______ variable.
The ratio of two independent chi-square variables is _______.
X+2Y=5 and 2X+3Y=8. Find the Mean of X and Y.
Which among the following is an example of +ve correlation?
A good estimator should be _______.
If \( b_{xy} = - 0.3 \) and \( b_{yx} = - 0.6 \), then the value of correlation coefficient is ------------.
Any control chart has _______ number of control limits.
The number of petals in a flower is an example of ----------- random variable.
E(X) = 4 then E(X - 2) = ------------
The consumption of fuel and the distance covered by a vehicle is an example of ------------ correlation.