Question

which of the following is the closest estimate to the percentile for the album with 14 songs? choose 1 answer: a 16th percentile b 69th percentile c 84th percentile

Explanation:

Step1: Count total data points

Count all dots: 1 (4) + 1 (6) + 3 (7) + 3 (8) + 1 (9) + 2 (10) + 1 (11) + 2 (12) + 1 (13) + 1 (14) + 1 (16) + 1 (18) + 1 (20) = 18 points.

Step2: Count points ≤14

Points at 4,6,7,8,9,10,11,12,13,14: 1+1+3+3+1+2+1+2+1+1=16 points.

Step3: Calculate percentile

Percentile = $\frac{\text{Points ≤14}}{\text{Total points}}×100 = \frac{16}{18}×100 ≈69\%$.

Answer:

B. $69^{\text{th}}$ percentile