The range of the following set of observations $2, 3, 5, 9, 8, 7, 6, 5, 7, 4, 3$ is:

  • A
    $11$
  • B
    $7$
  • C
    $5.5$
  • D
    $6$

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The mean and variance of $5$ observations are $5$ and $8$ respectively. If $3$ observations are $1, 3, 5$,then the sum of cubes of the remaining two observations is

The mean and variance of eight observations are $9$ and $9.25,$ respectively. If six of the observations are $6, 7, 10, 12, 12,$ and $13,$ find the remaining two observations.

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The Harmonic Mean of $3, 7, 8, 10, 14$ is = .........

Statement $(I)$: The range of the ungrouped data does not change even if certain intermediate observations are removed.
Statement $(II)$: The value of the mean deviation of an ungrouped data about the median is always less than or equal to the value of the mean deviation computed about any other measure of central tendency.
Statement $(III)$: For a grouped data,range is approximated as the difference between the lower limit of the largest class and the upper limit of the smallest class.

An analysis of monthly wages paid to workers in two firms $A$ and $B$,belonging to the same industry,gives the following results:
\text{Parameter} \text{Firm } $A$ \text{ and Firm } $B$
\text{No. of wage earners} $A: 586, B: 648$
\text{Mean of monthly wages} $Rs. 5253$
\text{Variance of wages} $A: 100, B: 121$

Which firm,$A$ or $B$,pays a larger total amount as monthly wages?

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