1. Find the appropriate measure of center. 2. Find the appropriate measure of va
ID: 3207266 • Letter: 1
Question
1. Find the appropriate measure of center.
2. Find the appropriate measure of variation.
3. Select the appropriate probability distribution for a variety of data sets and estimating the parameters.
4. Calculate the probability that a flight will depart early or on-time.
5. Calculate the probability that a flight will arrive late.
6. Calculate the probability that a flight departs late or arrives early.
7. Find the graph(s) needed to appropriately describe the data.
YEAR= 1st column DAY OF MONTH=2nd column DAY OF WEEK=3rd column DEPART DELAY= 4th column ARRIVAL DELAY=5TH COLUMN
2015 13 2 -6 -40
2015 13 2 -3 -9
2015 13 2 -7 -30
2015 13 2 -9 -31
2015 13 2 26 30
2015 13 2 -9 -25
2015 13 2 3 8
2015 13 2 11 6
2015 13 2 -7 -26
2015 13 2 -9 -16
2015 13 2 -7 0
2015 13 2 -12 -14
2015 13 2 -4 -41
2015 13 2 -5 30
2015 13 2 -8 -6
2015 13 2 -6 24
2015 13 2 -5 -41
2015 13 2 -8 24
2015 13 2 -5 -32
2015 13 2 -6 0
2015 13 2 -2 -2
2015 13 2 -3 10
2015 13 2 6 -7
2015 13 2 26 26
2015 13 2 -2 -33
2015 13 2 -1 7
2015 13 2 15 -1
2015 13 2 -10 -20
2015 13 2 -2
2015 13 2 -7 -26
2015 13 2 -8 -21
2015 13 2 -8 -30
2015 13 2 -1 -11
2015 13 2 -6 6
2015 13 2 -4 -41
2015 13 2 -10 -22
2015 13 2 -6 -19
2015 13 2 58 49
2015 13 2 44 60
2015 13 2 -2 -34
2015 13 2 -9 -14
2015 13 2 -4 -2
2015 13 2 3 -2
2015 13 2 12 15
2015 13 2 13 20
2015 13 2 14 12
2015 13 2 0 0
2015 13 2 -6 -36
2015 13 2 60 57
2015 13 2 -9 7
2015 13 2 35 36
2015 13 2 9 22
2015 13 2 -10 -25
2015 13 2 -2 5
2015 13 2 -7 15
2015 13 2 -2 2
2015 13 2 -1 -18
2015 13 2 -3 23
2015 13 2 9 1
2015 13 2 -3 -8
2015 13 2 -6 1
2015 13 2 -6 -23
2015 13 2 41 58
2015 13 2 -6 -21
2015 13 2 34 45
2015 13 2 -10 6
2015 13 2 18 1
2015 13 2 -7 -19
2015 13 2 -1 -22
2015 13 2 -16 -18
2015 13 2 0 -20
2015 13 2 -4 -16
2015 13 2 2 -6
2015 13 2 6 7
2015 13 2 16 14
2015 13 2 -5 -13
2015 13 2 85 65
2015 13 2 50 40
2015 13 2 -7 -27
2015 13 2 -5 -26
2015 13 2 -3 -16
2015 13 2 43 48
2015 13 2 -5 -2
2015 13 2 -1 3
2015 13 2 -3 -24
2015 13 2 -10 0
2015 13 2 -2 -4
2015 13 2 -5 -14
2015 13 2 8 -4
2015 13 2 0 -27
2015 13 2 -6 -4
2015 13 2 -9 -21
2015 13 2 196 182
2015 13 2 -5 -55
2015 13 2 -10 21
2015 13 2 -2 -38
2015 13 2 -4 -7
2015 13 2 -2 6
2015 13 2 -1 -27
Explanation / Answer
1. Find the appropriate measure of center.
Answer:
The appropriate measure of center for the given scenario is mean.
The mean depart delay is given as 4.63 and mean arrival delay is -3.12.
Some other measures of center are given as below:
Depart Delay
Arrival Delay
Mean
4.63
-3.12
Median
-3
-4
Mode
-6
0
2. Find the appropriate measure of variation.
Answer:
The appropriate measure of variation is given as standard deviation. The values of standard deviation and other measures of variation are given as below:
Depart Delay
Arrival Delay
Range
212
120
Variance
681.2364
629.4545
Standard Deviation
26.1005
25.0889
3. Select the appropriate probability distribution for a variety of data sets and estimating the parameters.
Answer:
The appropriate probability distribution for a variety of data sets and estimating the parameters is the Poisson distribution. (But in some conditions we can use the normal distribution for approximation purposes in case of large sample sizes.)
4. Calculate the probability that a flight will depart early or on-time.
Answer:
Total number of flight depart early or on time = 72
Total number of flight = 99
Required probability = 72/99 = 0.727273
Required probability = 0.727273
5. Calculate the probability that a flight will arrive late.
Answer:
Total number of flight which are late = 38
Total number of flight = 99
Required probability =38/99 = 0.383838
Depart Delay
Arrival Delay
Mean
4.63
-3.12
Median
-3
-4
Mode
-6
0
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