Numeracy and Data Analysis: Calculation of Mean, Median, Mode, Range and Standard Deviation

This report is based on logical thinking and intelligence. The data collected is secondary in nature. The data of this report is about humidity or wind speed in Bristol of continuous 10 days. Basic statistics techniques are mean, median, mode, range, variance and standard deviation etc. some will be used on the data. Even forecasting the humidity will be done for day 11 and day 12.

Numeracy and Data
Analysis

Table of Contents
INTRODUCTION...........................................................................................................................3
TASK...............................................................................................................................................3
Presentation of humidity levels for ten consecutive days......................................................3
Types of chart.........................................................................................................................3
Calculation of mean, median, mode, range and standard deviation.......................................4
Finding the value of 'm' and 'c' for using linear equation model for forecasting....................7
CONCLUSION ...............................................................................................................................8
REFERENCES................................................................................................................................9

INTRODUCTION
Numeracy and Data Analysis is the way measure the value that is calculated by
mathematical and statistical method. To understand the patterns and structure behind the data.
Numerical data is calculated to develop a better understanding of logical and reasoning
strategies behind their daily routine, This report is based on logical thinking and intelligence. The
data collected is secondary in nature. The data of this report is about humidity or wind speed in
Bristol of continuous 10 days. Basic statistics techniques are mean, median, mode, range,
variance and standard deviation etc. some will be used on the data. Even forecasting the
humidity will be done for day 11 and day 12.
TASK
Presentation of humidity levels for ten consecutive days
The table made is to represent the data of wind speed in Bristol for 10 consecutive days.
This data is secondary in nature and sourced from the actual weather reports published on the
wethertoday on internet.
Days Humidity (%)
1st 78
2nd 84
3rd 69
4th 81
5th 87
6th 73
7th 78
8th 85
9th 89
10th 61
Total Gross 784
Types of chart
 Scatter chart- Scatter plots is a way investigate the relation of different variables,
representing the information of variable in comparison to other. A scatter chart represents

different clear data points on a single chart. The chart can be supported with analytics
such as cluster analysis or trend lines.
 Bar chart- Bar charts are common data visualizations tool. It is used to compare data
across concept, shows differences and highlights trends, with providing a glance of
increase or decrease of value. Bar charts helpful when the given data that can be divided
into multiple categories.
Calculation of mean, median, mode, range and standard deviation
Mean: It is widely used method for numeracy and data analysis. Also called as averages,
mean shows the average of whole data. It finds the value which is sum of all the data upon total
number. Its useful in comparison of data sets. It also the average of all numbers
Process for calculating mean:

1: Gather and present the data for analysis
2: Find the sum of all given data values.
3: Tally the number of data value.
4: Divide sum by number of data value.
The formula of Mean: (μ)
Mean = total of values
No. of values
Sum of humidity levels: 784
Mean (μ): 784/10
Mean is 78.4
Median- It is a statistical method which finds the middle value of data arranged in
ascending order. By doing divides data into two parts and middle value is the outcome. This
method is used when data is huge and have great outliers. First to step are same for odd and even
number of data.
 Set up all the data into ascending or descending order.
 Apply for odd number of data.
 Apply for even number of data.
Humidity (%)
61
69
73
78
78
81

84
85
87
89
number of days are even = 10
median is [5 th+ {5+1}th ]/2
= [ 5th + 6th term]/2
Median = (78+81) / 2
Hence, it can be said that median is 79.5
Mode- Mode is the highest occurring number in a data set. It is for providing most
repeting term any dataset disregarding their distribution.
1. Set up data in ascending or descending order.
2. Count the number of occurrence of data which is most.
3. Select the value with most occurrence.
Number of observation =10
Mode = 78
Range- = (Largest value – smallest value) to calculate the data needs to be in a proper
order so Arrange it ascending order or descending. Apply the formula.
 Largest value = 89%
 Smallest value = 63%
 Range = [89 – 63] = 26%
Thus the range is 26%
Standard deviation- It is statistics method that shows the scattering of a data set
comparative from its mean. It is the square root of variance. To calculate standard deviation use
the following steps-
 First calculate the mean.
 Next is to subtract mean from each observation.
 Square the values.
 Calculate the sum of the squared values.
 Divide the total by total number of observations.
 Finally, find the square root of the result.

 Standard deviation =√∑ (xi – μ) ^ 2 / N
Let look at the table below for proper understanding.
Days Humidity (%) Mean (μ) (x-μ) (x-μ)^2
1st 78 78.4 (78 – 78.4) = -0.4 0.16
2nd 84 78.4 (84 – 78.4) = 5.6 31.36
3rd 69 78.4 (69 – 78.4) = -9.4 88.36
4th 81 78.4 (81 – 78.4) = 2.6 6.76
5th 87 78.4 (87 – 78.4) = 8.6 73.96
6th 73 78.4 (73 – 78.4) = -5.4 29.16
7th 78 78.4 (78 - 78.4) = -0.4 0.16
8th 82 78.4 (82 – 78.4) = 3.6 12.96
9th 89 78.4 (89 – 78.4) = 10.6 112.36
10th 63 78.4 (63 – 78.4) = -15.4 237.16
Total Gross 784 0 592.4
= √592.4/10
= 2.43 is the Standard Deviation.
Finding the value of 'm' and 'c' for using linear equation model for forecasting
Days Humidity (%)
1st 78
2nd 84
3rd 69
4th 81
5th 87
6th 73
7th 78
8th 82
9th 89
10th 63
Linear forecasting formula= (y = mx + c)

Linear equation forecasting model: It is a statistical method which is used to forecast future
values using historical data.
Y= mx + c
here, 'y' is the dependent variable,
'x' is the independent variable,
'c' is constant,
Forecasting humidity level of day 11: m = 0.35, x= 11, c = 76.4
y = mx + c
y = 0.35*11 + 76.4
y = 80.25
Forecasting humidity level of day 12: m = 0.35, x= 12, c = 76.4
y= mx + c
= 0.35*12 + 76.4
y = 80.6

forecasting the humidity of Bristol for day 11 is 80
forecasting the humidity of Bristol for day 12 is 81.
CONCLUSION
The above report talks about the humidity of Bristol. The data is for 10 continuos days,
statistical tools are use to analysis the data. Tools used are mean, mode, median, range, standard
deviation and y= mx + c equation is used to forecast the model using using linear equation. In
addition report has 2 types of chart to understand the behaviour of data as well.
REFERENCES
Books and Journals
Prince, R. and Frith, V., 2020. An investigation of the relationship between academic numeracy
of university students in South Africa and their mathematical and language ability. ZDM.
52(3). pp.433-445.
Silinskas and et.al, 2020. Responsive home numeracy as children progress from kindergarten
through Grade 1. Early Childhood Research Quarterly. 53. pp.484-495.
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, 3.2(2). pp.19-39.
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. In International Conference on Human-Computer Interaction (pp. 427-441).
Springer, Cham.
Yalcin, S., 2019. Competence Differences in Literacy, Numeracy, and Problem Solving
According to Sex. Adult Education Quarterly. 69(2). pp.101-119.