Question

Redbox is an increasingly popular way to rent movies in the US. Individuals can go to a Redbox kiosk and have a wide variety of movies to choose from. A study was done in which researchers observed the duration of time (in seconds) individuals spent making a decision on which movie to rent at a Redbox.

A) 800
B) 700
C) 600
D) 500
E) 400
F) 300
G) 200
H) 100
G) 0

What is the 3rd Quartile of the Redbox decision times? (Give an estimated number.)

Answer 1

The 3rd Quartile (Q3) of the Redbox decision times is approximately 700 seconds, which can be obtained by finding the median of the upper half of the sorted dataset.

Step-by-step explanation:

To find the 3rd Quartile (Q3) of the Redbox decision times, we need to arrange the times in ascending order and then determine the value that separates the top 25% of the data from the rest. In this case, you've provided a list of decision times as follows: 800, 700, 600, 500, 400, 300, 200, 100, 0. Assume that this represents all the data collected, and we need to find the 3rd quartile of this dataset.

When the data is in order from least to greatest, Q3 is the median of the upper half of the data set. There are 9 data points, so the middle value is 500. This splits the dataset into a lower half (0, 100, 200, 300, 400) and an upper half (600, 700, 800). Since there is an odd number of data points in the upper half, the third quartile will be the median of these points.

Calculating the median of 600, 700, 800 gives us a Q3 value of (middle value) 700, meaning that 75% of the people made a decision in 700 seconds or less. So, the third quartile or the 75th percentile of the Redbox decision times is approximately 700 seconds.