OPMT 1197 Quiz 2
OPMT 1197 Quiz 2 Mark: /12
Last Name: ____________________First Name:____________________ Student ID#:_____________
1. The manager of a local fast-food chain wants to improve the service provided to customers who use the drive-up window. As a first step in this process, the manager records how long it takes from the time the customer first enters the drive-in window until they are served their food at the final window. Below are the times (in minutes) for the 30 customers (in order):
|
3 |
4 |
5 |
6 |
6 |
7 |
9 |
10 |
11 |
11 |
12 |
12 |
12 |
12 |
13 |
|
15 |
16 |
16 |
17 |
17 |
18 |
18 |
18 |
20 |
21 |
22 |
24 |
25 |
33 |
40 |
(a) Calculate the median. [2 marks]
The times is order is= 3,4,5,6,6,7,9,10,11,11,12,12,12,12,13,15,16,16,17,17,18,18,18,20,21,22,24,25,33,40
The middle values are 13,15 so
ANSWER: 14
(b) Calculate the first and third quartile. [2 marks]
Total value=30
|
3 |
4 |
5 |
6 |
6 |
7 |
9 |
10 |
11 |
11 |
12 |
12 |
12 |
12 |
13 |
|
15 |
16 |
16 |
17 |
17 |
18 |
18 |
18 |
20 |
21 |
22 |
24 |
25 |
33 |
40 |
|
3 |
4 |
5 |
6 |
6 |
7 |
9 |
10 |
11 |
11 |
12 |
12 |
12 |
12 |
13 |
|
15 |
16 |
16 |
17 |
17 |
18 |
18 |
18 |
20 |
21 |
22 |
24 |
25 |
33 |
40 |
Q1 10 Q3 18
(c) Calculate the interquartile range. [1 mark]
IQR: 8
(d) Calculate the lower and upper limits [2 marks]
Lower -2 Upper 30
(e) List all outliers. Explain why they would be considered outliers. [3 marks]
|
3 |
4 |
5 |
6 |
6 |
7 |
9 |
10 |
11 |
11 |
12 |
12 |
12 |
12 |
13 |
|
15 |
16 |
16 |
17 |
17 |
18 |
18 |
18 |
20 |
21 |
22 |
24 |
25 |
33* |
40* |
ANSWER: 33 and 40 are outliers as they are higher than the upper bound limit which is an asterisk*
Where would the whiskers on a boxplot of the times extend to on each side? [2 marks]
Boxplot: -
The left whisker will extend to 3 which is the lowest data value in the limit.
The right whisker will extend to 25 which is the highest data value in the limit
Low Side: 3 High Side: 25