If the standard deviation of the observation $ - 5, - 4, - 3 - 2, - 1,0,1,2,3,4,5$ is $\sqrt {10} $. The standard deviation of observations $15,{\rm{ }}16,{\rm{ }}17,{\rm{ }}18,{\rm{ }}19,{\rm{ }}20,{\rm{ }}21,{\rm{ }}22,{\rm{ }}23,{\rm{ }}24,{\rm{ }}25$ will be

JEE MATHEMATICS MCQ: STATISTICS

1 Easy

1 of 1

Application +4 | -1

If the standard deviation of the observation

- 5, - 4, - 3 - 2, - 1,0,1,2,3,4,5

\sqrt {10}

. The standard deviation of observations

15,\mathrm{ }16,\mathrm{ }17,\mathrm{ }18,\mathrm{ }19,\mathrm{ }20,\mathrm{ }21,\mathrm{ }22,\mathrm{ }23,\mathrm{ }24,\mathrm{ }25

will be

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because adding a constant to each observation does not change the standard deviation.

Practice All Chapter MCQs →

{x_1},{x_2}, \ldots ,{x_n}

\bar X,

{x_i} + 2\;i;i = 1,\;2, \ldots ,n

1,3,5, x, y

-2,