The variance of the following frequency distribution is:
Class Interval$0$-$4$$4$-$8$$8$-$12$$12$-$16$$16$-$20$
Frequency$2$$4$$6$$3$$1$

  • A
    $\frac{295}{16}$
  • B
    $\frac{304}{16}$
  • C
    $\frac{37}{4}$
  • D
    $\frac{97}{4}$

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In a data set with $15$ observations $x_1, x_2, x_3, \ldots, x_{15}$,we are given $\sum_{i=1}^{15} x_i^2 = 3600$ and $\sum_{i=1}^{15} x_i = 175$. If the value of one observation $20$ was found to be incorrect and was replaced by its correct value $40$,then the corrected variance of the data is:

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Consider the following frequency distribution:
$C$.$I$.$75$-$175$$175$-$275$$275$-$375$$375$-$475$$475$-$575$$575$-$675$$675$-$775$
$f_i$$3$$2$$1$$0$$1$$2$$3$
If the variance of this distribution is $60000$,then the coefficient of variation of the distribution is:

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