Question

the dot plot shows the number of hours of daily driving time for 14 school bus drivers. each dot represents a driver. which of the following is the closest estimate to the percentile for the driver with a daily driving time of 6 hours? choose 1 answer:

Explanation:

Step1: Count number of data points less than 6

Count the number of dots for values 1 - 5. There are 2 + 2+ 3+ 1 = 8 drivers with driving - time less than 6 hours.

Step2: Calculate the percentile

The formula for percentile \(P=\frac{n}{N}\times100\), where \(n\) is the number of data points less than the value of interest and \(N\) is the total number of data points. Here, \(n = 8\) and \(N=14\). So \(P=\frac{8}{14}\times100=\frac{800}{14}\approx57.14\).

Answer:

Approximately 57th percentile.