Drivers pay a toll to pass over a busy bridge, and there are many toll booths that collect money. The city manager counted the t
otal number of cars waiting to pay their tolls at 15-minute intervals during two different days, once on a weekday and once on a weekend. The histograms below show the results. 2 histograms. A histogram titled weekday traffic has number of cars in line on the x-axis, and frequency on the y-axis. 0 to 10, 4; 10 to 20, 13; 20 to 30, 19; 30 to 40, 8; 40 to 50, 5; 50 to 60, 1. A histogram titled weekend traffic has number of cars in line on the x-axis, and frequency on the y-axis. 0 to 10, 12; 10 to 20, 20; 20 to 30, 14; 30 to 40, 3; 40 to 50, 1.
Using the histograms, which of the following is the correct comparison of the distributions?
The 10–20 interval contains the most observations on both days.
The two distributions for number of cars in line are both skewed right.
The median number of cars for both distributions lies in the 20–30 interval.
There were more than 40 cars in line more often on the weekend than the weekday.
The median number of cars for both distributions lies in the 20–30 interval and there were more than 40 cars in line more often on the weekend then the weekday.
<h3>What is mean and median ?</h3>
The arithmetic mean is found by adding the numbers and dividing the sum by the number of data in the list.
The median is the middle value in a list ordered from smallest to largest.
Given data:
Data A:
0 - 10 4
10 - 20 13
20 - 30 19
30 - 40 8
40 - 50 5
50 - 60 1
Data B:
0-10 12
10-20 20
20-30 14
30-40 3
40-50 1
Thus, the median number of cars for both distributions lies in the 20–30 interval and there were more than 40 cars in line more often on the weekend then the weekday.
