Numeracy and Data Analysis: Humidity in Birmingham Report

This report presents a comprehensive analysis of humidity data collected over ten consecutive days in Birmingham, UK. It begins by arranging the data in a tabular format and visualizing it using both line and bar charts. The core of the report involves calculating key statistical measures, including the mean, mode, median, range, and standard deviation, providing a detailed understanding of the data's central tendency and variability. Furthermore, the report applies a linear equation model to forecast humidity levels for the 11th and 12th days, demonstrating the practical application of data analysis in prediction. The analysis includes all the steps and formulas used to arrive at the results, which are then summarized in the conclusion. The report is a practical demonstration of numeracy and data analysis skills, highlighting their importance in informed decision-making.

Numeracy and Data
Analysis

Table of Contents
INTRODUCTION ..........................................................................................................................3
TASK...............................................................................................................................................3
Data arrange in the table format..................................................................................................3
Two types of charts.....................................................................................................................3
Calculation of mean, mode median, range and standard deviation.............................................5
Calculation the value of m and c by using linear equation model..............................................7
CONCLUSION ...............................................................................................................................9
REFERENCES..............................................................................................................................10

INTRODUCTION
Numeracy and data analysis are the method of applying tools and techniques to analysed
the present information. It is very important tool for decision making process (Best and et.al,
2022). This report includes the temperature of Birmingham city that is situated in UK of the ten
consecutive days. Further this report includes calculation of mean, mode, median, range,
standard deviation and calculated the value of m and c.
TASK
Data arrange in the table format
Days Humidity(%)
1st 98
2nd 88
3rd 85
4th 86
5th 76
6th 79
7th 76
8th 77
9th 90
10th 89

Two types of charts
Line chart
Bar chart
Day1 Day2 Day3 Day4 day5 Day6 Day7 Day8 Day9 Day10
0
20
40
60
80
100
120
Humidity(%)
Column 1

Calculation of mean, mode median, range and standard deviation
Mean: The average of the given set of the numbers is known as average. It is calculated as the
sum of all the given numbers divided by the number of all the observations. It is one of the
measures commonly used in the central tendency. in simple language, all the values are added
available in the collection of the data (Grebitus and Davis, 2019).
The following steps are to be followed to calculate mean:
 To collect all the data
 Total of all the data given set
 count all the data
 Total of all the given data set is divided by count all the data
Mean= ∑X / N
=(98+88+85+86+76+79+76+77+90+89) / 10
=844 / 10
=84.4
The mean of humidity is 84.4
Day1 Day2 Day3 Day4 Day5 Day6 Day7 Day8 Day9 Day10
0
20
40
60
80
100
120
Column 1

Mode-The value which is repeating higher number of times, is known as mode of the given data.
This is applicable only on the qualitative values. The frequency of observing this value is most
frequent. In many cases when there is no repeated values, it is difficult to find mode. the mode
can be calculated easily when the data has repeated number of frequencies.
The steps should be followed when calculate the mode:
 Data should be arranged in ascending to descending order
 Count the number of occurrence
 Select the number whose frequency appears most of the time
So the mode of the given data set is 76 because the frequency appears most of the time it means
the 76 shows 2 time while other number is showing only 1 time.
So that the mode of the given data set is 76
Median- When the numbers are sorted, then the middle number is known as median. Sorting
will be done from highest to lowest and lowest to highest (Simms and et.al, 2018). in the series
of the odd number, the number of values above and below are equal. While in the series of even
numbers, the highest and lowest numbers are added. then the resultant will be divided by two. it
is also known as the central most or middle value of the observation. It is sometimes difficult to
observe the every observation of the data. Then with the help of median ,the data will be
analysed.
Firstly the table should be in the lowest to highest value
Days Humidity(%)
1st 76
2nd 76
3rd 77
4th 79
5th 85
6th 86
7th 88
8th 89

9th 90
10th 98
Total number= 10
Median =( (N/ 2)+(n/2)+1) / 2
=((10/2)+ (10/2) /+1)/2
=(5+6) term/2
=(85+86)/2
=171/2
=85.5
So, the median is 85.5.
Range-The value which is the difference between the highest and lowest value is known as
range. In this the whole data is written either in increasing or decreasing (Sulak and et.al, 2020).
Steps for calculated the range:
1. Chosen the highest and lowest value of the given data set
2. deduct the low value from the higher value
Range= Higher value- lower value
=98-76
=22
The range of the given data set is 22
Standard deviation-The steps are necessary that is followed when calculates the SD
 Calculate the mean
 Mean is subtracted from the every given data set number
 Squares the step 2 values
 Total of the squared numbers
 The summation is divided by the total number of given set
 in lastly, take the square root of the resulted number(Yalcin, 2019)
Standard deviation = √∑ (xi – μ) ^ 2 / N
Days Humidity (%) Mean (μ) (x-μ) (x-μ)^2

1st 98 84.4 (98-84.4)=13.6 184.96
2nd 88 84.4 (88-84.4)=3.6 12.96
3rd 85 84.4 (85-84.4)=0.6 0.36
4th 86 84.4 (86-84.4)=1.6 2.56
5th 76 84.4 (76-84.4)=-8.4 70.56
6th 79 84.4 (79-84.4)=-5.4 29.16
7th 76 84.4 (76-84.4)=-8.4 70.56
8th 77 84.4 (77-84.4)=-7.4 54.76
9th 90 84.4 (90-84.4)=-5.6 31.36
10th 89 84.4 (89-84.4)=-4.6 21.16
Total Gross 844 0 478.4
=√478.4 / 10
=2.19
The SD is 2.19
Calculation the value of m and c by using linear equation model
Days(X) Humidity(%)(Y) (XY) X square
1st 76 76 1
2nd 76 152 4
3rd 77 231 9
4th 79 316 16
5th 85 425 25
6th 86 516 36
7th 88 616 49
8th 89 712 64
9th 90 810 81
10th 98 980 100

55 844
The following formula of linear forecasting model:
(y = mx + c)
Linear Prediction model- It calculates the future value by using the historical data.
=(10*4834)-(55*844)/(10*385-3025)
=1920/825
=2.32
=(844-2.32*55)/10
=71.64
Humidity level of day 11: m = 2.32, x= 11, c = 71.64
y = mx + c
y = 2.32*11 + 71.64
y = 97.16
Humidity level of day 12: m = 2.32, x= 12, c = 71.64

y= mx + c
= 2.32*12 + 71.64
y = 99.48
The linear equation model humidity levels for Day 11 will be 97.16 and Day 12 will be 99.48
CONCLUSION
In the above report, to calculate the mean, mode, median and other values of the humidity
of Birmingham city. This report also includes the line chart and column chart of humidity. The
value of m and c is calculated by using forecasting model.

REFERENCES
Books and Journals
Best and et.al, 2022. Age declines in numeracy: An analysis of longitudinal data. Psychology
and Aging, 37(3). p.298.
Grebitus, C. and Davis, G.C., 2019. Does the new nutrition facts panel help compensate for low
numeracy skills? An eye‐tracking analysis. Agricultural economics, 50(3). pp.249-258.
Simms and et.al, 2018. Does early home environment influence basic numeracy skills? The
preparing for life study. In Extending the learning from the Prevention and Early
Intervention Initiative (pp. 69-72). Children's Reserach Network.
Sulak and et.al, 2020. The relationships between numeracy scores and soft skills in employed
and unemployed Americans. New Horizons in Adult Education and Human Resource
Development, 32(2). pp.19-39.
Yalcin, S., 2019. Competence Differences in Literacy, Numeracy, and Problem Solving
According to Sex. Adult Education Quarterly, 69(2). pp.101-119.