Before the baby is born, John and Mary want to take a vacation to Gatlinburg, TN. They can travel in January or August. They do some research about the weather in January and in August in 2018.    Using the information below answer the following questions showing all your work to reach each answer     Construct a frequency distribution for the temperatures in January using 5 classes/intervals. Combine high and low temperatures so you have a single frequency distribution.   In August is the difference between the mean high temperature and the median high temperature larger or smaller than the difference between the mean low temperature and the median low temperature. What is this difference?                 Scroll down for all the data sets   Day High(°F) Low(°F)   1 jan 2018 27.0 12.0   2 jan 2018 18.0 3.0   3 jan 2018 26.1 3.0   4 jan 2018 33.1 15.1   5 jan 2018 21.9 6.1   6 jan 2018 23.0 6.1   7 jan 2018 26.1 3.9   8 jan 2018 35.1 5.0   9 jan 2018 37.0 27.0   10 jan 2018 46.9 30.9   11 jan 2018 64.9 30.9   12 jan 2018 64.0 48.0   13 jan 2018 61.0 25.0   14 jan 2018 25.0 18.0   15 jan 2018 27.0 15.1   16 jan 2018 44.1 19.0   17 jan 2018 39.0 10.9   18 jan 2018 16.0 3.9   19 jan 2018 32.0 3.0   20 jan 2018 45.0 12.0   21 jan 2018 50.0 28.9   22 jan 2018 60.1 30.0   23 jan 2018 64.0 36.0   24 jan 2018 52.0 30.0   25 jan 2018 45.0 24.1   26 jan 2018 50.0 23.0   27 jan 2018 54.0 24.1   28 jan 2018 59.0 42.1   29 jan 2018 51.1 41.0   30 jan 2018 48.9 27.0   31 jan 2018 35.1 19.9           Day High(°F) Low(°F)                                                               1 aug 2018 75.9 64.0   2 aug 2018 68.0 64.9   3 aug 2018 70.0 64.9   4 aug 2018 78.1 64.0   5 aug 2018 79.0 64.0   6 aug 2018 82.0 64.0   7 aug 2018 80.1 64.9   8 aug 2018 82.0 64.9   9 aug 2018 82.0 64.9   10 aug 2018 79.0 62.1   11 aug 2018 77.0 62.1   12 aug 2018 75.9 64.9   13 aug 2018 79.0 62.1   14 aug 2018 79.0 61.0   15 aug 2018 78.1 60.1   16 aug 2018 80.1 61.0   17 aug 2018 84.0 60.1   18 aug 2018 84.0 66.0   19 aug 2018 75.9 66.0   20 aug 2018 75.0 64.9   21 aug 2018 82.0 66.0   22 aug 2018 78.1 66.0   23 aug 2018 73.0 60.1   24 aug 2018 73.0 54.0   25 aug 2018 77.0 53.1   26 aug 2018 78.1 60.1   27 aug 2018 80.1 60.1   28 aug 2018 81.0 63.0   29 aug 2018 82.9 63.0   30 aug 2018 81.0 64.0   31 aug 2018 79.0 64.9

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  1. Before the baby is born, John and Mary want to take a vacation to Gatlinburg, TN. They can travel in January or August. They do some research about the weather in January and in August in 2018. 

 

Using the information below answer the following questions showing all your work to reach each answer

 

 

  1. Construct a frequency distribution for the temperatures in January using 5 classes/intervals. Combine high and low temperatures so you have a single frequency distribution.

 

  1. In August is the difference between the mean high temperature and the median high temperature larger or smaller than the difference between the mean low temperature and the median low temperature. What is this difference?

 

           

 

Scroll down for all the data sets

 

Day

High

(°F)

Low

(°F)

 

1 jan 2018

27.0

12.0

 

2 jan 2018

18.0

3.0

 

3 jan 2018

26.1

3.0

 

4 jan 2018

33.1

15.1

 

5 jan 2018

21.9

6.1

 

6 jan 2018

23.0

6.1

 

7 jan 2018

26.1

3.9

 

8 jan 2018

35.1

5.0

 

9 jan 2018

37.0

27.0

 

10 jan 2018

46.9

30.9

 

11 jan 2018

64.9

30.9

 

12 jan 2018

64.0

48.0

 

13 jan 2018

61.0

25.0

 

14 jan 2018

25.0

18.0

 

15 jan 2018

27.0

15.1

 

16 jan 2018

44.1

19.0

 

17 jan 2018

39.0

10.9

 

18 jan 2018

16.0

3.9

 

19 jan 2018

32.0

3.0

 

20 jan 2018

45.0

12.0

 

21 jan 2018

50.0

28.9

 

22 jan 2018

60.1

30.0

 

23 jan 2018

64.0

36.0

 

24 jan 2018

52.0

30.0

 

25 jan 2018

45.0

24.1

 

26 jan 2018

50.0

23.0

 

27 jan 2018

54.0

24.1

 

28 jan 2018

59.0

42.1

 

29 jan 2018

51.1

41.0

 

30 jan 2018

48.9

27.0

 

31 jan 2018

35.1

19.9

 

 

 

 

 

Day

High

(°F)

Low

(°F)

                                                             

1 aug 2018

75.9

64.0

 

2 aug 2018

68.0

64.9

 

3 aug 2018

70.0

64.9

 

4 aug 2018

78.1

64.0

 

5 aug 2018

79.0

64.0

 

6 aug 2018

82.0

64.0

 

7 aug 2018

80.1

64.9

 

8 aug 2018

82.0

64.9

 

9 aug 2018

82.0

64.9

 

10 aug 2018

79.0

62.1

 

11 aug 2018

77.0

62.1

 

12 aug 2018

75.9

64.9

 

13 aug 2018

79.0

62.1

 

14 aug 2018

79.0

61.0

 

15 aug 2018

78.1

60.1

 

16 aug 2018

80.1

61.0

 

17 aug 2018

84.0

60.1

 

18 aug 2018

84.0

66.0

 

19 aug 2018

75.9

66.0

 

20 aug 2018

75.0

64.9

 

21 aug 2018

82.0

66.0

 

22 aug 2018

78.1

66.0

 

23 aug 2018

73.0

60.1

 

24 aug 2018

73.0

54.0

 

25 aug 2018

77.0

53.1

 

26 aug 2018

78.1

60.1

 

27 aug 2018

80.1

60.1

 

28 aug 2018

81.0

63.0

 

29 aug 2018

82.9

63.0

 

30 aug 2018

81.0

64.0

 

31 aug 2018

79.0

64.9

 

 

 

 

 

 

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