{2, 4, 2, 5, 7, 9,7}

Find the quartile values and match the following.

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Solution

At first we arrange the data in ascending order:
2, 2, 4, 5, 7, 7, 9

No of terms n = 7, which is an odd number
$∴$ $(Q_{1}) = \frac{(n + 1)^{t h}}{4} = \frac{7 + 1}{4} term = 2^{n d} term = 2$
$(Q_{3}) = \frac{3 (n + 1)}{4})^{t h} term = 6^{t h} term = 7$
Inter quartile Range = $Q_{3} - Q_{1} = 7 - 2 = 5$

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{2, 4, 2, 5, 7, 9,7} Find the quartile values and match the following.

At first we arrange the data in ascending order: 2, 2, 4, 5, 7, 7, 9 No of terms n = 7, which is an odd number ∴ (Q1) = (n+1)th4 = 7+14 term = 2ndterm = 2 (Q3) = 3(n+1)4)th term = 6th term = 7 Inter quartile Range = Q3−Q1 = 7−2 = 5

{2, 4, 2, 5, 7, 9,7}

Find the quartile values and match the following.