Consider the following statement:
1. A continuous random variable can take all values in an interval.
2. A random variable which takes a finite number of values is necessarily discrete.
3. Construction of a frequency distribution is based on data which are discrete.
Which of the above statements are correct ?

Consider the following statements: 1. The algebraic sum of the deviations of a set of n value from its arithmetic mean is zero. 2. In the case of frequency distribution, mode is the value of variable which corresponds to maximum frequency. Which of the statements above given is/are correct?

Consider the following statements : 1. A frequency distribution condenses the data and reveals its important features. 2. A frequency distribution is an equivalent representation of original data. Which of the above statements ia/are correct ?

Consider the following statements: 1 Both variance and standard deviaiton are measures of variability in the population. 2. Standard deviation is the square of the variance. Which of the above statements is/are correct?

A discrete random variable X can take all possible integer values from 1 to K each with a probability (1)/(K) Its variance is

A random variable X takes the values 0,1 and 2. If P(X=1)=P(X=2) and P(X=0)=0.4 then the mean of the random variable X is

Consider the following statements pertaining to a frequency polygon of a frequency distribution of a continuous variable with seven class intervals of equal width: 1. The original frequency distribution can be reconstructed from the frequency polygon. 2. The frequency polygon touches the x-axis in its extreme right and extreme left. Which of the above statements is/are correct?

Consider the following statements in respect of histogram : 1. The histogram is a suitable representation of a frequency distribution of a continuous variable. 2. The area included under the whole histogram is the total frequency. Which of the above statements is/are correct?