For a distribution, mean is 40, median is 40.5 and mode is 41. The distribution is:
Negatively skewed.
Order the three measures: \(40 < 40.5 < 41\), i.e. Mean < Median < Mode.
This is the empirical signature of a negatively (left) skewed distribution — the long tail on the left pulls the mean below the median and mode. A normal distribution would have all three equal; positive skew would give Mean > Median > Mode; mesokurtic refers to kurtosis, not skewness.
Similar Questions
For a distribution with mean, median, mode and standard deviation 25, 24, 26 and 5 respectively, Karl Pearson's coefficient of skewness equals to:
Suppose two distributions have the same mean, same standard deviation and are equally skewed, but the first distribution is more peaked than the
other. This feature of the frequency distributions in which they are different are called:For two equally likely, exhaustive and independent events A and B, P(A ∩ B) is:
For four observations -1, 0, 1, 4, the measure of kurtosis equals
The standard deviation of a distribution is 5. The value of the fourth central moment, in order that the distribution be mesokurtic, should be:
In a negatively skewed distribution
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For a distribution, the mean is 10, variance is 16, γ 1is + 1 and β 2is 4. The distribution is:
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60% of the employees of a company are college graduates. Of these, 10% are in sales. Of the employees who did not graduate from college, 80% are in sales. The probability that an employee selected at random is in sales, is:
Important Questions from Basics of Probability
Suppose a 5-bit message is transmitted from a source to a destination through a noisy channel. The probability that a bit of the message gets flipped during transmission is 0.01. Flipping of each bit is independent of one another. The probability that the message is delivered error-free to the destination is ______ . (rounded off to three decimal places)
- A quadratic polynomial $(x - \alpha)(x - \beta)$ over complex numbers is said to be square invariant if $(x - \alpha)(x - \beta) = (x - \alpha^2)(x - \beta^2)$. Suppose from the set of all square invariant quadratic polynomials we choose one at random.
The probability that the roots of the chosen polynomial are equal is ____________ (rounded off to one decimal place) - If, out of 50 fish of a pond, 12 had no ectoparasite and remaining had varying numbers of parasites on them, then how many of fish had at least one parasite ?
For a distribution with mean, median, mode and standard deviation 25, 24, 26 and 5 respectively, Karl Pearson's coefficient of skewness equals to:
Suppose two distributions have the same mean, same standard deviation and are equally skewed, but the first distribution is more peaked than the
other. This feature of the frequency distributions in which they are different are called:
