4. 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 A. 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. B. 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? 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 7 0.0 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

4. 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 A. 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. B. 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? 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 7 0.0 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

4. 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

A. 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.

B. 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?

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 7 0.0 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

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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