Question

the stem - and - leaf plot below shows the amounts of time (in minutes) customers parked their cars in a parking garage. there were 19 times from weekdays and 16 from weekends. use the plot to answer the questions. amount of time parking (in minutes) weekdays weekends 5 6 3 2 2 3 3 4 3 2 7 6 5 4 0 9 9 9 6 6 15 3 6 8 16 0 0 1 5 5 6 7 8 17 1 3 9 18 8 19 3 (a) what were the ranges of the parking times for the two groups? weekdays minutes weekends minutes (b) which group had the greater median parking time? weekdays weekends the medians were the same (c) which group had more times in the 160s? weekdays weekends each had the same

Explanation:

Step1: Write out the data for weekdays and weekends

Weekdays data: 52, 52, 53, 53, 53, 62, 63, 70, 74, 75, 76, 90, 96, 96, 99, 99, 99.
Weekends data: 153, 156, 158, 160, 160, 161, 165, 165, 171, 173, 179, 188, 193.

Step2: Calculate the range for weekdays

The range is the difference between the maximum and minimum values. For weekdays, maximum = 99, minimum = 52. Range = 99 - 52 = 47 minutes.

Step3: Calculate the range for weekends

For weekends, maximum = 193, minimum = 153. Range = 193 - 153 = 40 minutes.

Step4: Find the median for weekdays

There are 17 data - points for weekdays. The median is the 9th value when the data is arranged in ascending order. The 9th value is 74 minutes.

Step5: Find the median for weekends

There are 13 data - points for weekends. The median is the 7th value when the data is arranged in ascending order. The 7th value is 161 minutes.

Step6: Count the number of values in the 160s for each group

For weekdays, there are 0 values in the 160s. For weekends, there are 5 values in the 160s (160, 160, 161, 165, 165).

Answer:

(a) Weekdays: 47 minutes, Weekends: 40 minutes
(b) Weekends
(c) Weekends