The board of ‘NAZH Hospital’ desires to analyze the waiting time in minutes for the Covid vaccine dose of the first 100 patients. The data in Table 1.1 below shows the waiting time of patients for Covid vaccine dose: 14 25 51 58 16 54 13 12 17 45 39 25 51 43 43 10 14 32 45 51 40 21 13 42 16 10 35 14 14 40 31 55 11 52 15 42 21 55 39 28 39 48 30 28 21 49 31 48 54 29 11 22 27 32 38 38 22 21 41 17 25 22 50 31 20 46 21 27 22 24 36 38 21 14 33 52 60 35 47 51 13 24 50 14 54 36 19 53 29 49 16 39 47 56 60 36 40 16 13 16 a) Compute the 35th and 58th percentile. b) Compute the average waiting time of 1st and 3rd quartile. c) Draw a box plot for the above data.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The board of ‘NAZH Hospital’ desires to analyze the waiting time in minutes for the Covid vaccine dose of the first 100 patients. The data in Table 1.1 below shows the waiting time of patients for Covid vaccine dose:
|
14 |
25 |
51 |
58 |
16 |
54 |
13 |
12 |
17 |
45 |
|
39 |
25 |
51 |
43 |
43 |
10 |
14 |
32 |
45 |
51 |
|
40 |
21 |
13 |
42 |
16 |
10 |
35 |
14 |
14 |
40 |
|
31 |
55 |
11 |
52 |
15 |
42 |
21 |
55 |
39 |
28 |
|
39 |
48 |
30 |
28 |
21 |
49 |
31 |
48 |
54 |
29 |
|
11 |
22 |
27 |
32 |
38 |
38 |
22 |
21 |
41 |
17 |
|
25 |
22 |
50 |
31 |
20 |
46 |
21 |
27 |
22 |
24 |
|
36 |
38 |
21 |
14 |
33 |
52 |
60 |
35 |
47 |
51 |
|
13 |
24 |
50 |
14 |
54 |
36 |
19 |
53 |
29 |
49 |
|
16 |
39 |
47 |
56 |
60 |
36 |
40 |
16 |
13 |
16 |
|
a) Compute the 35th and 58th percentile. |
|
b) Compute the average waiting time of 1st and 3rd |
|
c) Draw a box plot for the above data. |
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