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

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 15 dots representing albums with fewer than 14 songs.

Step2: Calculate the percentile

The formula for the percentile $P$ is $P=\frac{n}{N}\times100$, where $n$ is the number of data points less than the value of interest and $N$ is the total number of data points. Here, $n = 15$ and $N=19$. So $P=\frac{15}{19}\times100=\frac{1500}{19}\approx78.95$.

Answer:

Since the closest option to 78.95 is not shown in the provided partial options, but if we were to choose based on the correct calculation process, we first note that the above - shown option A (16th percentile) is incorrect. The correct value is approximately 79th percentile. If we assume there are other options and we need to choose the closest one to our calculated value among them. But with only option A given, it is incorrect. If we had to estimate from the process, we know it's much higher than 16th percentile.