Numeracy Assignment: Statistical Analysis and Real-World Applications

This numeracy assignment solution covers a variety of mathematical concepts and their real-world applications. It begins with calculations involving fractions, decimals, and percentages, including addition, division, and conversions. The assignment then explores financial applications such as calculating total amounts payable with discounts and interest, as well as reverse percentages in a business context. Examples of direct and indirect proportion are provided, followed by calculations related to area and cost of flooring for a flat and lawn. The solution also includes a section on learning styles and a data analysis section involving student counts in educational institutions, sales data, and an online survey. The survey data is analyzed using frequency distributions, mean, and median, with a discussion of the advantages and disadvantages of each measure of central tendency. The assignment demonstrates a comprehensive understanding of numeracy principles and their practical applications.

NUMERACY

Table of Contents
TASK 1............................................................................................................................................3
1.1 Selected two fractions...........................................................................................................3
1.2 Decimals and percentages.....................................................................................................3
1.3 Total amount payable............................................................................................................3
1.4 Real world example of reverse percentages..........................................................................3
1.5 Two real world example of direct proportion and indirect proportion.................................3
1.6 Plan of the flat and lawn .......................................................................................................4
TASK 3............................................................................................................................................5
TASK 4............................................................................................................................................6
4.1 Educational institutions from year 2015-2018......................................................................6
4.2 Sells the following items.......................................................................................................7
4.3 Online Survey........................................................................................................................8

TASK 1
1.1 Selected two fractions
Proper fraction – 3/5
Mixed fraction – 4 3 /11
a) Add two fractions – 3/5 + 47/11 = 268/55
b) divide the first by the second fraction – (3/5) / (47/11)
3/5*11/47 = 33/235
1.2 Decimals and percentages
a) 3/5 = 0.6 and 3/5*100 = 60
b) 47/11 = 4.27 and 47/11*100 = 427
c) 268/55 = 4.87 and 268/55*100 = 487
d) 33/235 = 0.14 and 33/235*100 = 14.04
1.3 Total amount payable
Assume that amount of new vehicle - £50000
Option 1 – Discount on 10% is paid in full - £50000*10% = 5000
Total paid amount – £50000 – £5000 = £45000
Option 2 – Deposit amount - £1000
Remaining instalments amounts - £49000 + 3.4% interest
Total paid amount = £1000 + £49000 + £1666 = £51666
1.4 Real world example of reverse percentages
The Britvic plc have profit 117.1 in the year of 2018 and tax percentage is 24.5% so there
is calculated amount of profit before tax through reverse percentage which is -
Profit before tax = 117.1*(100+24.5%) = 145.8
1.5 Two real world example of direct proportion and indirect proportion
Direct proportion means if one amount increases so another amount increase at the same
rate, to understand this concept taken example of car and petrol -
 If the price of car increased by 15% so petrol amount also increased by 5%
 If car price increase by 20% so petrol amount also increased by 10%

Indirect proportion means one quantity causes to decrease in another quantity or a
decrease in one quantity causes an increase in another quantity. To understand the concept take
an example -
 If coca cola can decrease their amount 10% so Pepsi also reduce their amount by 10%
 If Dominoz increase their price in particular items by 5% so Pizza hut also increase their
prices on those items.
1.6 Plan of the flat and lawn
a)
b) (a) Living Room/Hall:
Area of Living Room = Length * Breadth
= 12 mtrs * 6 mtrs.
= 72 sq. mtr.
Cost of Carpet for Living Room/ Hall = £5.50 per square metre
Cost of Carpet = 72* £5.50 = £396
(b) Bedroom:
Area of Living Room = Length * Breadth
= 8 mtrs * 6 mtrs.

= 48 sq. mtr.
Cost of Carpet for Living Room/ Hall = £6.30 per square metre
Cost of Carpet = 48* £6.30 = £302.4
(c) Bathroom/Kitchen:
Area of Bathroom = Length * Breadth
= 4 mtrs * 3 mtrs.
= 12 sq. mtr.
Cost of Carpet for bathroom = £8.90 per square metre
Cost of Carpet = 12* £8.9 = £106.8
Area of Kitchen = Length * Breadth
= 6 mtrs * 4 mtrs.
= 24 sq. mtr.
Cost of Carpet for Living Room/ Hall = £8.90 per square metre
Cost of Carpet = 24* £8.9 = £213
Total Cost of Carpet for Bathroom/ Kitchen = £106.8 + £213 = £319.8
c) Cost for creating a fenced lawn area:
Area of Lawn = Length * Breadth
= 7 mtrs * 4 mtrs.
= 28 sq. mtr.
Cost of Carpet for Living Room/ Hall = £3.25 per square metre
Cost of Carpet = 28* £3.25 = £91
d) Total Cost:
Total Cost = £319.8 + £91 = £410.8
TASK 3
To learn any thing I can prefer visual style where saw different images, videos and
movies. Most of the people have mix learning style that is also I have and apply to understand
different concepts. But I can use it in limited range in the reference of learning and teaching
techniques. With the help of visual learning style I can understand easily complex topics like
supply and demand in economics. Many times I can work in group that was awesome experience

and learn many things from each other. Through this module developed different learning style
which can help to understand those topics that are read first time.
TASK 4
4.1 Educational institutions from year 2015-2018
(a)
Student Count 2015 2016 2017
Under 25 200 250 300
25 – 35 250 350 450
Over 35 150 550 650
(b)
Student Count 2015 2016 2017 2018 (predicated)
Under 25 200 250 300 287.5
25 – 35 250 350 450 402.5
Over 35 150 550 650 517.5
(c)

07/07/1905 08/07/1905 09/07/1905 2018 (predicated)
0
100
200
300
400
500
600
700
200
250
300 287.5
250
350
450
402.5
150
550
650
517.5
Under 25
25 – 35
Over 35
(d) Student in 2014 of over 35 -
150*88/100 = 132
(e) Let no of male – x
The female = 13/10x
So, X + 13/10x = 250
23/10x = 250
x = 2500/23 = 108x
(f) The ratio of the students 3:14
4.2 Sells the following items
(a)
Items Price per unit item Quantity sold in 1 week
Xbox 50 15
Play station
games 60 25
DVDs 85 35
CDs 90 15
MS Office 75 50

Software
(b)
50
60
85
90
75
Xbox
Play station games
DVDs
CDs
MS Office Software
(c)
Items
Price per unit
item Quantity sold in 1 week Total Sales
Xbox 50 15 750
Play station games 60 25 1500
DVDs 85 35 2975
CDs 90 15 1350
MS Office
Software 75 50 3750
10325

4.3 Online Survey
(a)
Number of
friends Frequency (f)
0.5 to 80.5 29
80.5 up to 160.5 16
160.5 up to 240.5 12
240.5 up to 320.5 6
320.5 up to 400.5 5
400.5 up to 480.5 2
(b)
Number of
friends
Frequency
(f) X fx
0.5 to 80.5 29 40.5 1174.5
80.5 up to 160.5 16 120.5 1928
160.5 up to 240.5 12 200.5 2406
240.5 up to 320.5 6 280.5 1683
320.5 up to 400.5 5 360.5 1802.5
400.5 up to 480.5 2 440.5 881
9875
(c)
Number of
friends
Frequency
(f) X fx
0.5 to 80.5 29 40.5 1174.5

80.5 up to 160.5 16 120.5 1928
160.5 up to 240.5 12 200.5 2406
240.5 up to 320.5 6 280.5 1683
320.5 up to 400.5 5 360.5 1802.5
400.5 up to 480.5 2 440.5 881
9875
Mean 1645.83333
(d) Mean has been based on estimation and it is not appropriated so there are defing
disadvantages of mean -
 Large Data problem
 Problem of ratios and percentage
 Distortion due to extreme value
(e) Mean has been decreased.
(f) Median is more appropriate to more than mean when the sample size is large and does not
include outliers, the mean score usually provides a better measure of central tendency. Median is
mainly used to set of data that does have an outlier.