Question

the following dot plot shows the number of songs on each of the 19 albums in sals collection. each dot represents a different album. 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 number of data points less than 14

Count the number of dots to the left of 14 on the dot - plot. There are 16 dots representing albums with fewer than 14 songs.

Step2: Calculate the percentile

The formula for the percentile \(P\) is \(P=\frac{\text{number of data points less than the value}}{\text{total number of data points}}\times100\). Here, the total number of data points is 19. So \(P = \frac{16}{19}\times100\approx84.21\).

Answer:

C. \(84^{\text{th}}\) percentile