Numeracy and Data Analysis: A Study on Manchester City Humidity
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Added on 2023/06/04
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This report is a study on Manchester City Humidity and includes data analysis using mean, median, range, mode and standard deviation. It also includes a linear forecasting model for humidity. The report is useful for those interested in data analysis and forecasting.
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NUMERACY AND DATA ANALYSIS
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TABLE OF CONTENTS INTRODUCTION...........................................................................................................................3 MAIN BODY..................................................................................................................................3 1. Arranging the humidity of Manchester city for ten consecutive days.....................................3 2. Presenting the data using different charts................................................................................3 3. Calculate as well as discussion on the following descriptive statistics...................................4 4. Calculation and discussion of following..................................................................................6 CONCLUSION................................................................................................................................8 REFERENCES................................................................................................................................9
INTRODUCTION The data analysis is process generally for obtaining the raw data as well as converting into useful information for decision-making by the user. In simple words the data is a practice of working with different data to glean useful information, that can further used to make the decision. The report will based on the data set of Manchester city humidity. Along with this the report also compute the mean, median, mode, range as well as standard deviation. Moreover, the report also discuss linear forecasting of data set. MAIN BODY 1. Arranging the humidity of Manchester city for ten consecutive days Serial No.DateHumidity (%) 111/09/2272 212/09/2292 313/09/2267 414/09/2268 515/09/2253 616/09/2246 717/09/2251 818/09/2276 919/09/2273 1020/09/2273 2. Presenting the data using different charts Column chart:
Line chart: 3. Calculate as well as discussion on the following descriptive statistics (1) Mean:
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it is average of given numbers and it is calculated by dividing sum of the numbers by total numbers (George and Mallery 2018). Formula= μ = = (72 +92 +67 +68 +53 +46 +51 +76 + 73+ 73) / 10 = 671 / 10 =67.1 Interpretation: On the basis of the above evaluation, it ican be concluded that average humidity percentage of Manchester city of past 10 consecutive days is 67.1%. (2) Median: The median is generally middle number in ordered data set. Formula = Sum of midterm / number if two term =(53+46)/2 = 49.5 Interpretation: From the above evolutional, it can be interpreted that middle value of dataset of Manchester is 49.5%. (3)MODE: The mode is an value that is appears generally most frequently in data set. Formula = data which frequently appear = 73 Interpretation: From the above result, it analyses that 73 % is a humidity of the city because it repeated more often (Kaliyadan, and Kulkarni 2019). (4) Range: The range is particular simplest measurement of specifically of different between values in data set. Formula = Maximum – Minimum = 92 – 46 =46
Interpretation: generally the range is different between the maximum value and minimum value of data set. So after analysis above, it can be interpret-ate that highest humidity is 92 % as well as lowest humidity is 46 % so the range is 46%. (5) Standard deviation: Serial No. Humidity (%) x x- mean x- mean^2 1724.924.01 29224.9620.01 367-0.10.01 4680.90.81 553-14.1198.81 646-21.1445.21 751-16.1259.21 8768.979.21 9735.934.81 10735.934.81 Mean67.1 Total1696.9 σ = σ =√1696.9 / 10 13.02 4. Calculation and discussion of following Formula of Linear forecasting model: Y = mx + c Serial No. x Humidity (%) yxyx^2 172721 2921844
3672019 46827216 55326525 64627636 75135749 87660864 97365781 1073730100 556713622385 (1) Calculation of m value and discussion Formula of m = = (10 * 3622) – (55 * 671) / (10 * 385) – (55)2 = (36220 – 36905) / 3850 – 3025 = -685 / 825 = -0.83 Discussion: In the linear forecasting model, m value is the slope and c is the intercept. On the basis of the above result, it is identified that the slope value is -0.83 which further specify that with the change in x value, the y value will be change by -0.83. This is one of the best way to analyse the future value of the dataset (Vyas and et.al., 2022). (2) Calculation of c value and discussion Formula of c = = 671 – (-0.83 * 55) / 10 = 671 – -45.65 / 10 = 71.62
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Discussion: On the basis of the above result, it is identified that the intercept value that is c value is 71.62. The intercept is often considering as a constant when the x value is 0. It means to forecast the future value, the slope value is need to multiple to future x value and then added to the intercept or constant value (Gregory and et.al., 2019. Regression is one of the best way with the help of which the users such as company can predict its future customer demand, sales, profit etc. In this way, forecasting became easy and quick using the linear forecasting model. (3) Calculation of 11thand 12thday of humidity data Using the linear forecasting formula, the calculation of 11thand 12thday of Manchester city humidity are as follows: Day 11 Y = (-0.83 * 11) + 71.62 = 62.49 or 62% Day 12 Y = (-0.83 * 12) + 71.62 = 61.66 or 62% Interpretation: With the help of linear forecasting model, it is identified that the humidity of 11th day that is 21stSeptember, 2022 is 62%. On the same side, it is also analysed from the above calculation is that the humidity of 12thday that is 22ndSeptember, 2022 is also 62% (von Spreckelsen and et.al., 2019). CONCLUSION From the above report it also concluded that analysis data become quick and easy with the effective use of tools. The report generally present data of the Manchester city that is related to humidity.The above report take the data of city humidity from 11 September 2022 to 20 September 2022. the above report also includes two types of chart for presenting the data. Moreover, the report also discuss mean, median, range, mode and standard deviation with
interpretation. Lastly the report also discuss the linear forecasting model that is by forecast humidity for the 11thand 12thday.
REFERENCES Books and Journals George, D. and Mallery, P., 2018. Descriptive statistics. InIBM SPSS Statistics 25 Step by Step(pp. 126-134). Routledge. Gregory,L.andet.al.,2019.Theinfluenceofmathematicsself‐efficacyonnumeracy performanceinfirst‐yearnursingstudents:Aquasi‐experimentalstudy.Journalof Clinical Nursing,28(19-20), pp.3651-3659. Kaliyadan, F. and Kulkarni, V., 2019. Types of variables, descriptive statistics, and sample von Spreckelsen, M. and et.al., 2019. Let's talk about maths: The role of observed “maths‐talk” and maths provisions in preschoolers' numeracy.Mind, Brain, and Education,13(4), pp.326-340. Vyas, P. and et.al., 2022. Methodology for Co-designing Learning Patterns in Students with Intellectual Disability for Learning and Assessment of Numeracy and Communication Skills.InInternationalConferenceonHuman-ComputerInteraction(pp.427-441). Springer, Cham. size.Indian dermatology online journal.10(1). p.82.