NUMERACY 1 Assignment: Skills Audit, Statistical Tools and Analysis

This document presents a comprehensive solution to a numeracy assignment, starting with a self-skills audit across different sections. Section 1 focuses on BODMAS, fractions, and ratios, with examples. Section 2 covers decimals, percentages, and index numbers. Section 3 delves into statistical tools like mean, mode, median, and range, along with graph interpretations. Section 4 tackles practical problems involving percentage change, female degree attainment, student numbers, and graph interpretations. The solution includes detailed calculations and interpretations, demonstrating a strong understanding of numeracy concepts and their applications. The assignment also incorporates references to relevant journals and books.

NUMERACY 1

SECTION 1
Task 1: Skills Audit
Task 2: Class Activity
Que. 1: Reflection
From the above stated auditing of self skills it can be assessed that, I have full knowledge
about the BODMAS from definition to the calculation performance. Further, this particular
aspect reflects to the Bracket, Order, Division, Multiply, Addition as well as Subtract. In the data
set if any kind of calculation is required to perform then I am able to apply rule of BODMAS in
proper manner. When considering to the fraction, denominator, mixed number as well as
numerator then I have knowledge up to the certain extent. Therefore, to perform appropriate
calculation I need better practice which will support to make me better in this aspect as well.
Moreover, about the ratios whether they are simple or another I have adequate knowledge and I
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not need any practice in this area. However, I am not sure about add, multiply, subtract as well as
divide in the numeracy.
Que. 2: Example
Order of operations:
When a person is going to perform calculation of some data or equation then it is
mandatory to consider the order to specific rule according to order of operations. Further, in this
BODMAS rule is applied on the equation of data set (Weller and et.al., 2013). For instance:
Illustration 1:
Illustration 2:
= 7 – 6 / 3 * 2 + 5
= 7 – 2 * 2 + 5
= 7 – 4 + 7
= 3 + 7
= 10 (solution)
Operations on positive and negative number:
When there are numbers given in positive values then known under the operations on
positive number. For instance:
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= 7 + 2 – 3
= 6
While having values with negative sign in the data set then come into consideration of
operations on negative number like:
= [(-7) + (-6)] – 6
= -19
Fractions:
When data or values presented in small divisions or in form of divide then considered
under fraction (Fraction, 2017). For instance:
½, 1/3, ¼ etc.
Ratios:
When data set presented in proportion manner or format along with reflecting
relationship between two values is known as ratios (Geary and et.al., 2013). For instance:
4:3 which can be presented as 1:3
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SECTION 2
Task 1: Skills Audit
Task 2: Class Activity
Que. 1: Reflection
According to the self skills auditing of section 2 it can be said that, for interpreting
relations among three tools like fractions, percentages as well as decimals I need some practice
due to having inadequate knowledge. Apart from this, under the decimal and fractional
equivalent also there is same condition as before. In terms of determining concepts as well as
processes related to accomplish every exercise I am not totally sure that I will complete it. It can
be assessed that, when calculation is required to done with the help of some formulas, simple
index needs to construct and interpret indexes also I required huge practice. Concluding to this
section then it can be said that I have inadequate knowledge about decimals, fractions, ratios etc.
Therefore, practice is required up to the larger extent which will help to me in the future for
performing proper computation.
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Que. 2: Example
Decimals:
Values which are shown after the decimal point in the data set is considered as decimals
with reference to numeracy. Further, it denotes with tenth, hundredths, thousandths etc
(Skwarchuk, Sowinski and LeFevre, 2014). Which is shown below:
Percentages:
A method through which each hundreds of the overall data set is calculated, known as
percentage. Moreover, for performing its computation the available data multiplies with '100'
only which is stated below:
= 0.635 * 100
= 63.5%
Index numbers:
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A data which multiplied with its same digit in accordance to given power is called as
index number in context to the numeracy (Kroesbergen, van’t Noordende and Kolkman, 2014).
Its illustrations are presented below:
3^4
= 3*3*3*3
= 81
Or
2^9
= 2*2*2*2*2*2*2*2*2
= 512
SECTION 3
Task 1: Skills Audit
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Task 2: Class Activity
Que. 1: Reflection
The section three is totally related with the statistical tools and techniques of which I
have adequate and proper knowledge. Along with this, for performing solutions of these tools I
not face any kind of problems and challenges. From the auditing related to such skills it can be
ascertained that, I can do well calculations of mean, mode, median as well as range of any kind
of data set. The reason is that I have better knowledge along with it is very simple and easy to
compute. Moreover, in order to implications or implementations of these all the statistical tools
also have adequate knowledge. Due to this, for when such methods are required to apply on data
set then I not require practice. Other that these all, for I can define pie, bar and line charts very
well with constructing these using data set. For making adequate interpretation and analyse of
such graphs that what these reflect also I am very well where I not need practice and support of
any other.
Que. 2: Example
Introducing statistical tools
 Mean: A method through which average value of the whole data set is calculated in
proper manner is known as mean. Further, it can be identified as average or arithmetic
mean as well in the area of statistics (Schwämmle, León and Jensen, 2013 ).
 Mode: A specific value which occurred in the available data set frequently or again and
again then assessed using mode method. Moreover, it reflects to the most frequently
incurred digit from the given data set.
 Median: According to this, when data needs to divide in two sections in equal proportion
then median statistical tool is taken into account. Range: A tool which reflects to difference among two values like the highest and the
lowest in data set is identified as range (Kastner and et.al., 2014).
Presenting data through graphs
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Pie chart
340
390
440
490
540
590 640
690
740
790 2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
Bar Graph
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2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
0 100 200 300 400 500 600 700 800 900
340
390
440
490
540
590
640
690
740
790
54
62
70
78
86
94
102
110
118
126
Sales or revenue
Profit or income
Line Graph
2008200920102011201220132014201520162017
0
100
200
300
400
500
600
700
800
900
340 390 440 490 540 590 640 690 740 790
54 62 70 78 86 94 102 110 118 126
Sales or revenue
Profit or income
SECTION 4
Question 1
The present question shows about people in terms of percentage change who awarded
with degree among two years i.e. 2000 to 2011. Further, calculation of this is stated below:
Individual or people awarded in 2000 = 243245
People awarded in 2011 = 350800
Formula of percentage change = (new – old) / old
i.e. = People awarded in 2011-Those awarded in 2000/People awarded in 2000
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= (350,800 – 243,246) / 243,246 * 100
= 107554 / 243246 * 100
= 44.22%
Question 2
In this part females are computed who will achieve first degree at the end of year 1990.
Further, in the year 1980 females are 25319 which will be increased by 33.76%. On the basis of
this calculation is performed below:
= 25319 * 33.76%
= 8548 females
Therefore, additional females in the next ten years will be 8548 and total who will
awarded by first degree in year 1990 are:
= 25319 + 8548
= 33867 females
Question 3
Number of students in the year 2000 were 986267 and in the year 1999 they were 4.7%
less in England and Wales University. Further, students who were admitted in this university in
period 1999 are:
= 986267 – (986267 – 4.7%)
= 939912 students
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