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

1. A

2 and 12

2. B

3 and 13

3. C

4 and 14

4. D

5 and 15

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### Solution:

We have,

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

$⇒{Q}_{1}=5$ and ${Q}_{3}=15$

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