Answer:
b) 15,90,24.133,20
c) New average = 19.4, New Median = 20
d) 8
e) 40%
f) Wednesday
Step-by-step explanation:
a) Mon Tue Wed Thu Fri
Week 1 17 16 20 24 22
Week 2 15 21 25 17 90
Week 3 16 17 22 20 20
This is a 3×5 matrix where the rows gives us the weeks(Week 1, Week 2, Week 3) and the columns are the weekdays(Mon, Tue, Wed, Thu, Fri).
b)The shortest duration out of the data given for fifteen days is 15 minutes.
The longest duration is 90 minutes.
To calculate the average of given data, we use the following formula:
Average =
=
=
=24.133
Median = the value that divides the data into two equal parts]
Ascending order: 15,16,16,17,17,17,20,20,20,21,22,22,24,25,90
Median = = 8th term = 20
c) Mon Tue Wed Thu Fri
Week 1 17 16 20 24 22
Week 2 15 21 25 17 19
Week 3 16 17 22 20 20
New average =
=
=
=19.4
New Median
Ascending order: 15,16,16,17,17,17,19,20,20,20,21,22,22,24,25
Median = = 8th term = 20
d) In order to know how many times we commute for 20 minutes or more, we check the entries that are greater than or equal to 20 minutes. We have 8 such entries. Thus, 8 times the commute was 20 minutes or more longer.
e) Percent of commutes less than 18 minutes = × 100%
=×100% = 40%
f) Average =
Average time spent in commuting on Monday = 16
Average time spent in commuting on Tuesday = 18
Average time spent in commuting on Wednesday = 22.3
Average time spent in commuting on Thursday = 20.3
Average time spent in commuting on Friday= 20.3
On Wednesday, we spent the most on commute time.