Question

if 25th percentile of the observation 24,30,2p+6,42,48,54,60,66,72 respectively taken in order is 33,find the value of 'p'.

Answer 1

Answer:

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Step-by-step explanation:

$to \: find = \\ value \: of \: p \\ \\ so \: here \: given \: scores \: are \\ 24,30,(2p + 6),42,48,54,60,66,72 \\ \\ N = 9 \\ \\ so \: here \: \\ 25th \: percentile = 33 \\ \\ we \: know \: that \\ \\ 25th \: percentile = (\frac{i N}{100} )th \: \:s core \\ \\ where \: i = 25 \\ \\ 33 = ( \frac{25 \times 9}{100} )th \: score \\ \\ = ( \frac{9}{4} )th \: score \\ \\ = 2.25th \: score \\ \\ = 2nd \: score +0 .25th \: score \\ \\ = 2nd \: score + 0.25(3rd \: score - 2nd \: score \: ) \\ \\ = 30 + 0.25(2p + 6 - 30) \\ \\ 3 = 0.25( 2p - 24) \\ \\ = 0.5p - 6 \\ \\ 9 = 0.5p \\ \\ p = \frac{9}{0.5} \\ \\ p = 18$