Answer
For 228, percentile=$6th$
For 489, percentile=$17th$
For 524, percentile=$28th$
For 597, percentile=$39th$
For 623, percentile=$50th$
For 659, percentile=$61st$
For 736, percentile=$72nd$
For 777, percentile=$83rd$
For 804, percentile=$94th$
597
Work Step by Step
Find the percentile rank of each value.
n=9, use the formula for percentile rank, we have
For 228, percentile=$\frac{0+0.5}{9}\times100\approx6th$
For 489, percentile=$\frac{1+0.5}{9}\times100\approx17th$
For 524, percentile=$\frac{2+0.5}{9}\times100\approx28th$
For 597, percentile=$\frac{3+0.5}{9}\times100\approx39th$
For 623, percentile=$\frac{4+0.5}{9}\times100=50th$
For 659, percentile=$\frac{5+0.5}{9}\times100\approx61st$
For 736, percentile=$\frac{6+0.5}{9}\times100\approx72nd$
For 777, percentile=$\frac{7+0.5}{9}\times100\approx83rd$
For 804, percentile=$\frac{8+0.5}{9}\times100\approx94th$
What value corresponds to the 40th percentile?
$c=\frac{40\times9}{100}\approx4$
Identify the 4th value as: 597