Question

A silent auction was held for a quilt donated for charity. Fifteen bids that were drawn randomly are listed here. What percentile is the bid value $105?

$85   $240   $120   $60   $315   $190   $145   $105   $285   $260   $95   $215   $235   $175   $155

20th percentile

80th percentile

33rd percentile

27th percentile

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Answer 1

33rs percentile is the answer

Answer 2

Answer:27th percentile

Step-by-step explanation:

Order the bid values in ascending order (smallest to largest)

60 85 95 105 120 145 155 175 190 215 235 240 260 285 315

Using the formula

`Rank = (Percentile)/(100) * (number of bids +1)`

Rank of 105 is 4

`4= (Percentile)/(100) * (15+1)`

`400 = 16*Percentile`

`Percentile = (400)/(16) = 25`

So the percentile of the bid value $105 is 25th percentile

But since 25th percentile is not among the options given, then 27th percentile will be the answer.

Going by the same formula, 27th percentile gives us the rank 4.05 which approximately is 4.