If the mean of the lower and upper quartile is 10 and semi-interquartile range is 5, then the lower quartile and upper quartile respectively are

If the mean of the lower and upper quartile is 10 and semi-interquartile
range is 5, then the lower quartile and upper quartile respectively are

We have,

$\frac{Q_{1} + Q_{3}}{2} = 10$ and $\frac{Q_{3} - Q_{1}}{2} = 5$

$\Rightarrow Q_{1} = 5$ and $Q_{3} = 15$

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