Question:
If M. D. is $12$, the value of S.D. will be
If M. D. is $12$, the value of S.D. will be
Updated On: May 16, 2024
- 15
- 12
- 24
- None of these
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The Correct Option is A
Solution and Explanation
We know that $D = \frac{5}{6} \times M.D. $
$= \frac{5}{6} \times 12 = 10 $
$\therefore \, S.D = \frac{3}{2} \times D$
$ = \frac{3}{2} \times 10$
$ \Rightarrow \, S.D. = 15$
$= \frac{5}{6} \times 12 = 10 $
$\therefore \, S.D = \frac{3}{2} \times D$
$ = \frac{3}{2} \times 10$
$ \Rightarrow \, S.D. = 15$
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Concepts Used:
Mean Deviation
A statistical measure that is used to calculate the average deviation from the mean value of the given data set is called the mean deviation.
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The mean deviation for the given data set is calculated as:
Mean Deviation = [Σ |X – µ|]/N
Where,
- Σ represents the addition of values
- X represents each value in the data set
- µ represents the mean of the data set
- N represents the number of data values
Grouping of data is very much possible in two ways:
- Discrete Frequency Distribution
- Continuous Frequency Distribution