The data is obtained in tabular form as follows:
$x_i$$60$$61$$62$$63$$64$$65$$66$$67$$68$
$f_i$$2$$1$$12$$29$$25$$12$$10$$4$$5$

Find the standard deviation of the given data. (in $.69$)

  • A
    $1$
  • B
    $2$
  • C
    $3$
  • D
    $4$

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Similar Questions

Let the Mean and Variance of five observations $x_1=1, x_2=3, x_3=a, x_4=7$ and $x_5=b$,where $a > b$,be $5$ and $10$ respectively. Then the Variance of the observations $n+x_n$ for $n=1, 2, 3, 4, 5$ is:

The standard deviation of the numbers $31, 32, 33, \ldots, 46, 47$ is

Find the variance of the following discrete frequency distribution:
Class Interval$0-2$$2-4$$4-6$$6-8$$8-10$
Frequency $(f_i)$$2$$3$$5$$3$$2$

Statement $1$: The variance of the first $n$ odd natural numbers is $\frac{n^2 - 1}{3}$.
Statement $2$: The sum of the first $n$ odd natural numbers is $n^2$ and the sum of the squares of the first $n$ odd natural numbers is $\frac{n(4n^2 - 1)}{3}$.

Find the variance of the following data: $6, 8, 10, 12, 14, 16, 18, 20, 22, 24$

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