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Which two of the following statements are true?  a) The sum of the deviations from mean (ignoring algebraic signs) is greater than the sum of the deviations from median (ignoring algebraic signs)  b) Standard deviation is independent of change of origin and change of scale  c) In a symmetrical distribution, mean deviation equals 4/5 of standard deviation  d) In a symmetrical and bell shaped distribution quartile deviation is 1/3 of standard deviation  Choose the correct answer from the options given below
Statement: The root mean square and most probable speeds of the molecules in a gas is symmetrical. Reason: The Maxwell distribution for the speed to molecules in a gas is symmetrical.
Statement I Exponential probability distribution has the mean = $$\frac{1}{\mu }$$ and variance = $$\frac{1}{{{\mu ^2}}}$$
Statement II The mean, median and mode do not coincide in the normal distribution.
Statement III The binomial distribution is symmetrical for any value of p (probability of success).
The following two statements relate to probability distributions. Choose the correct statements being correct or incorrect.
Statement I When 'p' and 'q' are equal in the binomial distribution, the shape of the distribution is perfectly symmetrical irrespectiveof the size of 'n'.
Statement II The mean and the variance of poisson distribution are not equal.
The frequency distribution of a research data which is symmetrical in shape similar to a normal distribution but center peak is much higher, is
Which two of the following statements are true?  a) Skewness studies the flatness or peakedness of the distribution  b) A positively skewed distribution curve is stretched more to the right than to the left  c) On the basis of empirical relationship between mean, mode and median for moderately asymmetrical distribution, Karl Pearson's coefficient of skewness can be measured by 3 (Mean -Median) divided by Standard Deviation  d) If mean < mode, the distribution is positively skewed  Choose the correct option from those below: 
Binomial distribution is symmetrical when
Which one of the following pairs of elements have anomalous electronic configuration to acquire stability due to the symmetrical distribution of electrons (elements: P, Q, R and S with Z values equal to 27, 29, 24 and 22 respectively)?
Most aspects of statistical analysis in common use assume that statistical deviation follows the normal distribution and it’s symmetrical and has a _________ curve.
In a symmetrical distribution of data which pair is correct