The variance of the following frequency distribution is
Class IntervalFrequency
$0 - 6$$10$
$6 - 12$$8$
$12 - 18$$6$
$18 - 24$$4$
$24 - 30$$2$

  • A
    $56$
  • B
    $30$
  • C
    $11$
  • D
    $20$

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The following table shows the marks obtained by two students,Ravi and Hashina,in $10$ tests (out of $100$ marks each).
StudentMarks
Ravi$25, 50, 45, 30, 70, 42, 36, 48, 35, 60$
Hashina$10, 70, 50, 20, 95, 55, 42, 60, 48, 80$

Who is more intelligent and who is more consistent?

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The marks obtained by students $A$ and $B$ in $3$ examinations are given below:
| | Exam $1$ | Exam $2$ | Exam $3$ |
|---|---|---|---|
| Marks of $A$ | $30$ | $20$ | $40$ |
| Marks of $B$ | $70$ | $0$ | $5$ |
The ratio of the coefficient of variation of marks of $A$ and the coefficient of variation of marks of $B$ is:

Find the mean and variance for the following data:
$x_i$ $6$ $10$ $14$ $18$ $24$ $28$ $30$
$f_i$ $2$ $4$ $7$ $12$ $8$ $4$ $3$

The mean and the standard deviation $(s.d.)$ of five observations are $9$ and $0,$ respectively. If one of the observations is changed such that the mean of the new set of five observations becomes $10,$ then their $s.d.$ is?

The variance is independent of the change of which of the following?

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