Between the two tables, you can compare what is the normally expected temperatur
ID: 3045785 • Letter: B
Question
Between the two tables, you can compare what is the normally expected temperature in Savannah, Georgia to what was actually experienced in 2017.
Temperatures for Savannah Georgia (Degrees Fahrenheit)
Monthly Normal (1981-2010) Temperatures, Savannah Georgia
Normal
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
Annual
Std Dev
Maximum
60.4
64.3
70.9
77.6
84.6
89.9
92.4
90.6
86
78.4
70.6
62.5
Mean
49.5
53
59.2
65.6
73.3
79.8
82.6
81.5
76.9
67.9
59.3
51.7
Minimum
38.6
41.7
47.6
53.6
62.1
69.8
72.8
72.4
67.8
57.5
47.9
40.8
Monthly 2017 Temperatures, Savannah Georgia
Month
Jan
Feb
March
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
Annual
Std Dev
Maximum
69
74
74
83
87
89
92
91
89
81
72
63
Mean
58
62
61
71
76
81
83
83
79
71
60
53
Minimum
47
49
48
59
64
72
74
74
69
61
48
43
For this exercise, you will need to start by completing the two tables and figuring out the Annual Maximum, Minimum and Mean temperatures (the mean of these means) and the Standard Deviation for the Annual temperatures. Figure out the standard deviation using the population and not the sample.
Once you have calculated those, you will need to answer the following questions.
Answer the following questions:
Using the Mean, Was January 2017 warmer or colder than Normal? Explain your answer.
Using the Mean, how many months in 2017 were colder than Normal?
Using the Mean, how many months in 2017 were warmer than Normal?
Using the Normal standard deviation for maximum temperature, how many months in 2017 did not fall within 1 standard deviation for maximum temperature?
Repeat question 4 for both the minimum temperatures and the mean temperatures.
Which, if any, months in 2017 fell outside 1 standard deviation for all three temperature groups?
What do these statistics tell us about Savannah’s temperature in the year 2017, compared to what is considered normal?
Between the two tables, you can compare what is the normally expected temperature in Savannah, Georgia to what was actually experienced in 2017.
Temperatures for Savannah Georgia (Degrees Fahrenheit)
Monthly Normal (1981-2010) Temperatures, Savannah Georgia
Normal
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
Annual
Std Dev
Maximum
60.4
64.3
70.9
77.6
84.6
89.9
92.4
90.6
86
78.4
70.6
62.5
Mean
49.5
53
59.2
65.6
73.3
79.8
82.6
81.5
76.9
67.9
59.3
51.7
Minimum
38.6
41.7
47.6
53.6
62.1
69.8
72.8
72.4
67.8
57.5
47.9
40.8
Monthly 2017 Temperatures, Savannah Georgia
Month
Jan
Feb
March
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
Annual
Std Dev
Maximum
69
74
74
83
87
89
92
91
89
81
72
63
Mean
58
62
61
71
76
81
83
83
79
71
60
53
Minimum
47
49
48
59
64
72
74
74
69
61
48
43
For this exercise, you will need to start by completing the two tables and figuring out the Annual Maximum, Minimum and Mean temperatures (the mean of these means) and the Standard Deviation for the Annual temperatures. Figure out the standard deviation using the population and not the sample.
Once you have calculated those, you will need to answer the following questions.
Answer the following questions:
Using the Mean, Was January 2017 warmer or colder than Normal? Explain your answer.
Using the Mean, how many months in 2017 were colder than Normal?
Using the Mean, how many months in 2017 were warmer than Normal?
Using the Normal standard deviation for maximum temperature, how many months in 2017 did not fall within 1 standard deviation for maximum temperature?
Repeat question 4 for both the minimum temperatures and the mean temperatures.
Which, if any, months in 2017 fell outside 1 standard deviation for all three temperature groups?
What do these statistics tell us about Savannah’s temperature in the year 2017, compared to what is considered normal?
Explanation / Answer
Here is the computation for 1981-2000:
Similarly for 2017, here it is-
1) All temperatures in Jan are less than respective mean values. So, it is relatively colder
2) Mean = 69.8
If mean < 69.8, they are the months colder than normal
Which are- Jan, Feb, Mar, Nov and Dec
3) Mean = 69.8
If mean > 69.8, they are the months warmer than normal
Which are- Apr, May, Jun, July, Aug, Sep and Oct
4) 1 SD from Max temp = 80.3+-9.3= (71, 89.6)
Jan, Dec, July and Aug were out of this range
5) 1 SD from Mean temp = 69.8+-10.2 = (59.6, 80)
Jan, Dec, Jun, July and Aug are outside this range
6) 1 SD from Min= 59+-11.1= (47.9, 70.1)
Jan, Dec, Jun, July and Aug are outside this range
7) Common Months- Jan, Dec,July and Aug
Normal Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Annual Std Dev Maximum 60.4 64.3 70.9 77.6 84.6 89.9 92.4 90.6 86 78.4 70.6 62.5 77.4 11.0 Mean 49.5 53 59.2 65.6 73.3 79.8 82.6 81.5 76.9 67.9 59.3 51.7 66.7 11.6 Minimum 38.6 41.7 47.6 53.6 62.1 69.8 72.8 72.4 67.8 57.5 47.9 40.8 56.1 12.2Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.