Question:
If the value of mode and mean is $60$ and $66$ respectively, then the value of median is
If the value of mode and mean is $60$ and $66$ respectively, then the value of median is
Updated On: Oct 27, 2024
- 70
- 64
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- 50
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The Correct Option is B
Solution and Explanation
Mode $=3$ Median $-2$ Mean
$\therefore$ Median $=\frac{1}{3}($ mode $+2$ mean $)$
$=\frac{1}{3}(60+2 \times 66)=64$
$\therefore$ Median $=\frac{1}{3}($ mode $+2$ mean $)$
$=\frac{1}{3}(60+2 \times 66)=64$
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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.
The Formula for Mean Deviation:
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