If each term of a distribution is increased by $2$,what will happen to the median and the standard deviation of the distribution?

  • A
    Both median and standard deviation increase by $2$.
  • B
    The median increases by $2$ and the standard deviation remains unchanged.
  • C
    The median remains unchanged but the standard deviation increases by $2$.
  • D
    Both median and standard deviation remain unchanged.

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In a series,if $4$ appears $3$ times,$5$ appears $4$ times,$6$ appears $5$ times,$7$ appears $8$ times,$8$ appears $7$ times,and $9$ appears $6$ times,then the mode of the numbers is = .......

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Class $1 - 10$ $11 - 20$ $21 - 30$ $31 - 40$ $41 - 50$
$f_i$ $5$ $7$ $8$ $6$ $4$

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

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