Question

A silent auction was held for a quilt donated for charity. Fifteen bids that were drawn randomly are listed here. Find the value of the 45th percentile. $85 $240 $120 $60 $315 $190 $145 $105 $285 $260 $95 $215 $235 $175 $155

Answer 1

45th percentile means that 45% of the data fall below that number while 55% (that is, 100-45) fall above it.

Now, arranging the number in ascending order;
$60, $85, $95, $105, $120, $145, $155, $175, $190, $215, $235, $240, $260, $285, $325

The total number of counts = 15
Then,
Index = 15*45% = 15*0.45 = 6.75

Round up,
Index = 7

The,
7th number = $155

Therefore, 45th percentile value of the data = $155