What is the relationship between mean,median,and mode for a moderately skewed distribution?

  • A
    Mode = Median - $2$ Mean
  • B
    Mode = $2$ Median - Mean
  • C
    Mode = $2$ Median - $3$ Mean
  • D
    Mode = $3$ Median - $2$ Mean

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The mode of the following data set is $0, 1, 6, 7, 2, 3, 7, 6, 6, 2, 6, 0, 5, 6, 0$.

In any discrete series (when all values are not same),the relationship between $M.D.$ about mean and $S.D.$ is:

Karl Pearson's coefficient of skewness of a distribution is $0.32$. Its standard deviation $(S.D.)$ is $6.5$ and the mean is $39.6$. The median of the distribution is:

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The mode of the following frequency distribution is:
Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$ $25-30$
Frequency $(f_i)$ $3$ $4$ $7$ $11$ $2$ $5$

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Consider the following frequency distribution:
Class $0-6$ $6-12$ $12-18$ $18-24$ $24-30$
Frequency $a$ $b$ $12$ $9$ $5$

If $\text{mean} = \frac{309}{22}$ and $\text{median} = 14$,then the value of $(a-b)^{2}$ is equal to $.....$

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