List of top Statistical Science Questions

The mean square deviation of the variate X from ------ is minimum.
The mean of two samples of series 50 and 100 are 53.7 and 52.3 respectively. Find the mean of combine sample.
Given \(P(A) = p_1, P(B) = p_2\) and \(P(AB) = p_3\). Then \(P(A' \cap B')\) will be:
For the discrete distribution which is correct?
Two dice are rolled simultaneously. What is the probability that the sum of numbers on dice is 9?
The main reason for blueness of the sky is:
If $C_1$ and $C_2$ are subset of sample space S. Then which is correct:
Most of the insect require which vitamin:
In drawing Histogram for unequal class intervals, the height of the rectangle will be:
Which crop is called micronutrient loving crop?
Two unbiased dice are thrown simultaneously. Then the possible number of outcomes will be:
A pathogen often develops resistant against ........ ?
The process of assembling, storage, grading, packaging and distribution of different agricultural products is known as ...........
Olivine is a good source of:
Chipko movement was started to conserve:
How many main types of nucleic acids are present in the living systems?
What is the working principle of a potometer?
If an exporter earns money and deposits that with Reserve Bank of India (RBI), what will be the ultimate impact on country's money supply?
Anthracnose resistant variety of French bean is:
Which is called as the brain of the nematode?

The diameter at breast height (DBH) of 20 trees is as follows:

\[ 1,\ 3,\ 5,\ 5,\ 7,\ 8,\ 8,\ 8,\ 8,\ 8,\ 8,\ 9,\ 9,\ 9,\ 9,\ 9,\ 10,\ 10,\ 10,\ 10 \] 

What are the values of the first quartile \((Q_1)\), second quartile \((Q_2)\), and third quartile \((Q_3)\)?

1. \(Q_1 = 7.5,\ Q_2 = 8,\ Q_3 = 8\)

2. \(Q_1 = 7.5,\ Q_2 = 8,\ Q_3 = 9\)

3. \(Q_1 = 8,\ Q_2 = 9,\ Q_3 = 10\)

4. \(Q_1 = 8,\ Q_2 = 8.5,\ Q_3 = 9\)

A die is thrown 60 times and number of times the following faces were obtained  
 

Faces123456
No. of times147581016

Can the die be regarded as fair? Given \[ \chi^2_{0.05,5}=11.07 \]

Let \[ a_n=\frac{\sin n}{n} \] be a sequence of real numbers. Then, \[ \lim_{n\to\infty} a_n \] is

A manufacturer can produce shoes at a cost of 50 dollars per pair. It is estimated that if the shoes are sold for \(x\) dollars per pair, consumers will buy approximately \[ S(x) = 1000e^{-0.1x} \] pairs of shoes per week.

The price at which the manufacturer should sell the shoes to maximize the profit is: 

$\Gamma(n) = \int_0^{\infty} e^{-x} x^{n-1} \, dx, (n > 0)$ , then the value of $\int_0^{\pi/2} \cos^n x \, dx$ is given by}