List of top Statistical Science Questions on Statistics asked in ICAR AIEEA (PG)

A t-value of -5 is:

The mean weight per bag in a group of 6 bags of rice is 119 kg. The individual weights of 5 of them are 115 kg, 109 kg, 129 kg, 117 kg and 114 kg. What is the weight of the other bag?

The following table gives the distribution of 100 families according to daily expenditure:
Expenditure (in Rs): 0-10, 10-20, 20-30, 30-40, 40-50
Number of families: 14, x, 27, y, 15
If the mode of the distribution is 24, find the missing frequencies x and y.

The coefficient of variation of Poisson distribution with mean 36 is

The probability that an individual is left-handed is 0.16. In a class of 10 students, what is the mean and standard deviation of the number of left-handed students?

The mean of 21 numbers is 9. One of the numbers, 19, is deleted. What is the mean of the remaining 20 numbers?

For a random variable \(X\) with mean \(\mu\) and variance \(\sigma^2\), the coefficient of variation is:

In a binomial distribution, the mean is 8 and variance is 6. Then the mode is

The probability of rejecting null hypothesis when it is true is known as

Which is the following statement is true?

In a binomial distribution the mean is 8 and variance is 6. Then the mode is:

The coefficient of variation of Poisson distribution with mean 36 is:

The width of each of nine classes in a frequency distribution is 2.5 and the lower class boundary of the lowest class is 10.6. Which one of the following is the upper class boundary of the highest class?

The median of a given frequency distribution is found graphically with the help of:

A frequency distribution can be presented graphically by:

Which one of the following is a correct statement?

A scooter rider covers a certain distance at a uniform speed of \(45\text{ km}\) per hour and retraces the same path at a uniform speed of \(55\text{ km}\) per hour to reach the starting point. His average speed during the whole journey is:

If \(X \sim N(\mu, \sigma^2)\). The maximum ordinate is at \(X = \mu\) and is given by:

The unit of coefficient of correlation is:

The mean weight per bag in a group of 6 bags of rice is \(119\text{ kg}\). The individual weights of 5 of them are \(115\text{ kg}\), \(109\text{ kg}\), \(129\text{ kg}\), \(117\text{ kg}\) and \(114\text{ kg}\). What is weight of the other bag of the group?

The arithmetic mean of n number series is $\bar{x}$. The sum of last n-1 numbers is k. Then the first number will be:

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.

For the discrete distribution which is correct?