For the given set of numbers, the lower quartile, the upper quartile and inter quartile range is
2, 4, 13, 14, 19, 20, 27

4, 27, 23

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4, 27, 25

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13, 20, 7

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2, 27, 25

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Solution

The correct option is A
4, 27, 23

The given sequence is already arranged in increasing magnitude
No of terms n = 7, which is an odd number
$∴$ Lower quartile $(Q_{1}) = \frac{(n + 1)^{t h}}{4} = \frac{7 + 1}{4} term = 2^{n d} term = 4$
Upper quartile $(Q_{3}) = \frac{3 (n + 1)}{4})^{t h} term = 6^{t h} term = 20$
Inter quartile Range = $Q_{3} - Q_{1} = 20 - 4 = 16$

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Similar questions

From the following frequency distribution, find :

(i) the median

(ii) lower quartile

(iii) upper quartile

(iv) inter quartile range

Variable	$15$	$18$	$20$	$22$	$25$	$27$	$30$
Frequency	$4$	$6$	$8$	$9$	$7$	$8$	$6$

4, 6, 9, 12, 18, 20, 23, 27, 34, 48

53

3, 5, 9, 11, 13, 18, 23, 25, 32

39

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