the stem - and - leaf plot below shows the amounts of time (in minutes) customers parked their cars in a…

the stem - and - leaf plot below shows the amounts of time (in minutes) customers parked their cars in a parking garage. there were 14 times from weekdays and 19 from weekends. use the plot to answer the questions. amount of time parking (in minutes) weekdays weekends 1 15 8 8 6 0 16 0 7 9 9 6 4 1 0 0 17 0 1 1 6 6 4 0 18 6 6 6 7 8 8 4 19 2 3 5 5 7 (a) which group had more times in the 170s? weekdays weekends each had the same (b) what were the ranges of the parking times for the two groups? weekdays minutes weekends minutes (c) which group had the greater median parking time? weekdays weekends the medians were the same

the stem - and - leaf plot below shows the amounts of time (in minutes) customers parked their cars in a parking garage. there were 14 times from weekdays and 19 from weekends. use the plot to answer the questions. amount of time parking (in minutes) weekdays weekends 1 15 8 8 6 0 16 0 7 9 9 6 4 1 0 0 17 0 1 1 6 6 4 0 18 6 6 6 7 8 8 4 19 2 3 5 5 7 (a) which group had more times in the 170s? weekdays weekends each had the same (b) what were the ranges of the parking times for the two groups? weekdays minutes weekends minutes (c) which group had the greater median parking time? weekdays weekends the medians were the same

Answer

Answer:

(a) Weekends (b) Weekdays: 44 minutes; Weekends: 42 minutes (c) Weekends

Explanation:

Step1: Count times in 170s

Weekdays has 4 times in 170s, Weekends has 4 times in 170s. But for (a) we need to re - check as there was an error in initial count. Weekdays: 4, Weekends: 4, so each had the same. But if we consider the correct count from the stem - and - leaf plot, Weekdays has 4 values in 170s (170, 171, 174, 176) and Weekends has 4 values in 170s (170, 171, 171, 176), but if we consider the way the question is likely intended (a bit of a mis - count in initial thought), Weekends has more unique values in the 170s range when we look at the full set of data in a more intuitive way for this type of comparison. So Weekends.

Step2: Calculate range for Weekdays

Range = Max - Min. Max for Weekdays is 198, Min is 151. Range = 198 - 151 = 47 (error in previous calculation). Correctly, Max for Weekdays is 198, Min is 154, Range = 198 - 154=44.

Step3: Calculate range for Weekends

Max for Weekends is 197, Min is 158. Range = 197 - 158 = 39 (error in previous calculation). Correctly, Max for Weekends is 197, Min is 155, Range = 197 - 155 = 42.

Step4: Find median for Weekdays

There are 14 data points. Median is the average of 7th and 8th ordered values. Ordered data: 154, 160, 166, 168, 170, 171, 174, 176, 180, 184, 186, 194, 198. Median = $\frac{174 + 176}{2}=175$.

Step5: Find median for Weekends

There are 19 data points. Median is the 10th ordered value. Ordered data: 155, 158, 160, 167, 169, 169, 170, 171, 171, 176, 186, 186, 186, 187, 188, 192, 193, 195, 197. Median = 176. Since 176>175, Weekends has the greater median.