The marks obtained by $19$ students of a class are $27, 36, 22, 31, 25, 26, 33, 24, 37, 32, 29, 28, 36, 35, 27, 26, 32, 35$ and $28$ . Find the upper quartile.

35

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36

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37

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None of these

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Solution

The correct option is A $35$
Arrange the marks in increasing order. we get,
$22, 24, 25, 26, 26, 27, 27, 28, 28, 29, 31, 32, 32, 33, 35, 35, 36, 36, 37$

Since, total no. of terms $(n) = 19$

Upper quartile (Q3) $= 3 (\frac{n + 1}{4})^{t h}$ term
$= 3 (\frac{19 + 1}{4})^{t h}$ term
$= 3 \times 5 = 15^{t h}$ term $= 35$

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The marks obtained by 19 students of a class are 27,36,22,31,25,26,33,24,37,32,29,28,36,35,27,26,32,35 and 28. Find the upper quartile.

The correct option is A 35Arrange the marks in increasing order. we get,22,24,25,26,26,27,27,28,28,29,31,32,32,33,35,35,36,36,37Since, total no. of terms (n)=19Upper quartile (Q3)=3(n+14)thterm =3(19+14)thterm =3×5=15thterm=35

The marks obtained by $19$ students of a class are $27, 36, 22, 31, 25, 26, 33, 24, 37, 32, 29, 28, 36, 35, 27, 26, 32, 35$ and $28$ . Find the upper quartile.