Assignment Solution: Applying Numeracy, Data, and IT Knowledge
VerifiedAdded on 2022/12/28

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PART 1............................................................................................................................................2
Question 1...............................................................................................................................2
Question 2...............................................................................................................................3
Question 3...............................................................................................................................3
Question 4...............................................................................................................................3
Question 5...............................................................................................................................4
Question 6...............................................................................................................................4
Question 7...............................................................................................................................4
Question 8...............................................................................................................................4
Question 9...............................................................................................................................5
Question 10Fleisch, B., Schöer, V., Roberts, G. and Thornton, A., 2016. ............................5
PART 2............................................................................................................................................6
Question 11.............................................................................................................................6
Part 3................................................................................................................................................7
Question 12.............................................................................................................................7
Question 13.............................................................................................................................1
Question 14 ............................................................................................................................3
Question 15.............................................................................................................................5
Question 16.............................................................................................................................7
REFERENCES................................................................................................................................9

Question 1
Proper fraction:- It is defined as a fraction which has its numerator less than its denominator and.
It is less than one.
For example:- 3/6 ( Here 3 is smaller value, 6 is larger value).
Improper fraction:- Improper fraction is defined as a fraction having its numerator equal to or
greater than its denominator value (Mane and Miravet, 2016).
For example:- 9/5 ( Here 9 is greater value, 5 is smaller value).
Question 2
The simplest form of 16/40 is:- 2/5.
The simplest form of 24/42 is:- 4/7.
Question 3
a)The equivalent fractions of given fractions 3/4, 5/6, 7/9 with denominator 36 are as following:-
3/4= 27/36
5/6= 30/36
7/9= 28/36
b) It is given that
Sporting event sold total tickets :- 1,20,000
at premium price:- 24,000
at standard price:- 62,000 (Estrada‐Mejia and at.el. 2020).
let's assume 'x' be the tickets sold at discounted price that are remaining ones
1,20,000= 24,000+62,000+x
x= 34,000
percentage of x=(34,000/1,20,000)*100
percentage of x= 28.33%
Hence percentage of tickets that sporting event sold at discounted price is 28.33%.
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As its given that Arianne paid purchased 2 jackets by paying two £50 notes and got a change
from shopkeeper of £12.50.
Total amount charged for jackets from Arianne:- £100-£12.50
=£87.5
price of each jacket= £87.5/2
=£43.75
The price charged of each jacket is £43.75 (Angermeier and Ansen, 2019).
Question 5
a) 402.50*15.45 = 6218.62
b) As a power of 10 number 0.0521 can be written as:-
=521*10^-5
Question 6
Given that the amount paid by Asif and his 2 flatmates in gym that is 60% of total amount is
£180
a) Suppose that 'x' be the total amount which is without discount so
60= (£180/x)*100
x=(£180/60)*100
x=£300
so the total amount for one month in gym without discount is £300 (Fleisch, Schöer, Roberts.
and Thornton, 2016).
total money saved= £300-£180
=£120
b) average money saved per person:-
= £120/3
=£40
Hence money saved by each person is £40
Question 7
a) 7/9 + 2/3 – 3/4= 25/36
b)The number 0.00005 is the smallest of the given numbers 0.1, 0.02, 0.003, 0.0004, 0.00005 .
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As it is given 80 men and 70 women were asked either they had watched the latest ‘Lion King’
movie or not. Out of which 2/5 of the total people said Yes and 7/10 of the total women said
Yes.
Total people asked= 150
people who said yes=( 2/5)*150
=60
women who said yes=(7/10)*70
=49
men who said yes= 60-49
=11
men who said no= 80-11
= 69
percentage of men who said no= (69/80)*100
= 86.25%
Thus 86.25% of men said no.
Question 9
Given that it will take 1hr10mins from Patrick's home to reach St Pancras Station, from station
he will get train to go to Manchester.
Then train will take 2 and half hours from St Pancras to Manchester.
After that it will take 10mins taxi ride to reach meeting venue in Birmingham from the station.
So it will take Patrick 3hr50mins, total time to reach meeting venue.
Meeting will begin at 10:45AM (Cumming,Goldstein. and Hand 2020).
It is given that Trains to Manchester are available at the following times that is on the hour, 20
minutes past the hour and 40 minutes past the hour.
So Patrick can leave home at 6:50AM. It is the latest time for Patrick to make marking exercise
on time in Manchester.
As Patrick will take 1hr10min till station so he will reach station at 8 AM then he will get train
at 8AM after then at 10:30AM he will reach Manchester then in next 10 min that is at 10:40AM
he will reach at his destination.

It is given that
I Phone model's Weight = 0.18 kg
Samsung model's weight=4/25 kg
= 0.16 kg
Thus 0.18 is greater value than 0.16 so iPhone model is more heavier.
PART 2
Question 11
a) Norway
b) Russia
c)23
As the most repeated value is 23.
d) Maximum value:- 132, Minimum value:- 45
Range = Maximum value- Minimum value
= 132 - 45
= 87
Hence the range in gold medals awarded to all the 10 countries is 87 (Fortner and Jenkins,
2017).
(e) 6 countries
(f) Norway
(g)
Country
Total
Games
Total
medals
Number of
Medals per
game
Austria 23 232 10.08
Canada 23 199 8.65
Germany 12 240 20
Netherlands 21 130 6.19
Norway 23 368 16
Russia 6 120 20
Soviet union 9 194 21.55
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Switzerland 23 153 6.65
United States 23 305 13.26
Soviet Union got 21.55 that is highest numbFortner, C. K. and Jenkins, J .M., 2017.er of medals
per game.
h) Two reasons of Great Britain for not coming in top 10 countries are as follows:
1. Due to dominance in few particular sports.
2. Because of not very good host effect.
i)
Country Gold
Norway 132
United States 105
27
Country
Silve
r
Norway 125
United States 110
15
Country
Bron
ze
Norway 111
United States 90
21
The maximum difference is 27 that is between gold medals ; hence in Gold category Norway
has outperformed United States, its closest competitor (Gregory, at.el.2019).
j)
Country Gold Silver Bronze Range
Austria 64 87 87 23
Canada 73 64 62 11
Germany 92 88 60 32
Netherlands 45 44 41 4
Norway 132 125 111 21
Russia 47 38 35 12
Soviet union 78 57 59 21
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Switzerland 55 46 52 9
United States 105 110 90 15
There are four countries Netherlands, Switzerland, Canada and Sweden which has least
smallest range or most evenly distributed number of gold, silver and bronze medals.
Part 3
Question 12

Country Total Games Gold Silver Bronze
Total
Medals
Austria 23 64 87 87 232
Canada 23 73 64 62 199
Germany 12 92 88 60 240
Netherlands 21 45 44 41 130
Norway 23 132 125 111 368
Russia 6 47 38 35 120
Soviet union 9 78 57 59 194
Sweden 23 57 46 55 158
Switzerland 23 55 46 52 153
United States 23 105 110 90 305
Question 13
a)What actions and the steps in Excel are you take to rank them from 1st to 10th
The function of the rank in the excel returns the number and there is a list of numbers.
Using the Average, rank it has been return to rank average in which the more numbers has the
same rank in an organisation.
1. if the argument third is omitted then the excel do ranking by putting the largest number
on first and the second largest number on second this process go like this only.
2. If the argument third is 1 then the excel put the ranking by having the smallest number 1st
and the second smallest number second so the decisions are to be taken properly.
3. The rank and average in the excel functions returns the rank which is average and have
more than the one number which has the same rank in the organisation and will get easily
affected (Hadden at.el. 2018).
Three arguments of the rank function are described below:
Number: The example given above has the number of ranks which is given in the cell B2.
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the cell $B$2:$B$11. The absolute references are taken into account instead of the
relative reference so the decisions are to be taken properly. The range of the reference
remain the same when we copy down the formula in the cells given below.
Order: It help in ranking the list in the ascending and the descending order
1) Leave argument empty or using the zero helps in finding the rank which is listed properly is
descending order. In the above example the argument which is given is left blank to find the
descending order. Which is equal to =RANK(B2,$B$2:$B$11)
2) The ascending order is for the type 1 or for the any number except the zero. For ranking in the
ascending order we have to type 1 if we are comparing golf scores. Which is equal to
=RANK(B2,$B$2:$B$11,1)
In the function of the rank the third argument which is given is optional and it helps in telling the
excel weather the rank is given in the ascending order ore in the descending order.
If we are using the zero in the given argument for setting the order and if we are not using the
argument 3rd then it is set in the descending order (Harris Wyatt-Smith, and Adie, 2020).
The number which is largest get rank 1
The number which is 10th largest will get the rank 10th
If the 1 is used as setting of the order or in the 3rd argument the number is entered except zero
and is to be rank in the ascending order.
The number which is smallest get the rank 1
the smallest 10th number will get the 10th rank.
Use the cell reference to create the flexible formula and will be argument in the rank formula.
For example type a 1 in the cell E1 and it can be easily linked with the cell E1. By linking
the cells different results without the change in the formula. IT helps in arranging and will
change in the descending order (Jasper, Bhattacharya and Corser 2017).
The checkbox will turn in the ascending order ON or OFF.
If the rank is ascending it will be turned as ON
If the rank will be descending it will be turned as OFF.
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countries with 200 or more medals in total?
To apply given action; the excel tool conditional formatting which can see the values below 200
by displaying it in different colour. To get the result the steps are following:
Follow the given steps to construct the basic formatting rule,:
1. In the target field select information cells , then click the Home tab in Excel ribbon, and then
choose Power Format ⇒ New Rule. The box opens of New Format Rule Exchange (Jeffries,
Curtis, and Conner 2020).
2. In beginning the list box of the switch box, click formula Use to find which cells make the
selection. This decision evaluate the values which depend on a specific recipe. On the off chance
when a specific value is not stated as TRUE, the restrictive group is distributed in that cell.
3. In the entry box of recipe, write the equation. Make sure that you can only mention the main
cell in targeted area. It is not compulsory to acknowledge the whole range (Kung,Stolz, Lin,
Foster Schmitt. and Purpura 2020).
4. Snap the Shape button. The dialog box of Format Cells opens, there you find a full set of
choices to customize text style, margin, and fill to your targeted cell. Once you select
organization options, then click "OK" button for confirmation and visit New Format Rule check
box.
5. Once more in New Format Rule Talk box, to confirm the group rule click "OK" button.
c) Which type of graph will be suitable for representing only gold medals information?
Line graph or bar graph is suitable for representing information of gold medals
d) In which column(s) might replication have been used?
Total(in column of total replication has been used) (Laracy, Hojnoski and Dever,2016).
e) What Excel formula can be used to calculate the overall total medals awarded?

Question 14
Write the Excel functions for the following
a. Give the total number of medals for Sweden and Switzerland.
Formula:
= SUM(F9 + F10)
b. Give the average number of silver medals for a European country
Formula:
European countries =Austria,Netherlands, Norway, Russia, Germany, Soviet Union, Sweden and
Switzerland
Total 8 counties.
=AVERAGE (D2 + D4 + D5 + D6 + D7 +D8 +D9 + D10)
c. Sum the Medals Total for Gold for countries less than 23 games played.
For solving this the function “what if” will be used, after that the outcome will be like FALSE
TRUE; where ‘FALSE’ means values less than 23 and ‘TRUE’ means values more than 23.
After that, all the cells having TRUE value will be grouped and values of GOLD will be
measured. The following steps are as following:
1. Select the cell comprises of the value which you want to modify. When you utilise Goal
Seek, you will have to select a cell which already includes formula or function.
2. Click What-If Analysis command from the Data tab, then from the drop-down menu
select Goal Seek (Lindberg and Silvennoinen, 2018).
3. A dialog box of three fields will appear :
Set cell:It is the cell which will contain the desired result.
To value:It is the desired result.
By changing cell:It is the cell where answer will be placed by Goal seek.
4. The dialog box will state if Goal Seek was capable of finding a solution.
Then Click OK.
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d. Search the database (the whole spreadsheet) to find ‘Russia’ and also the corresponding
Medals Total (Méndez, Hammer, Lopez, and Blair, 2019).
Here the VLOOKUP functionality is enforced; VLOOKUP stands for "direct query". In
Excel, it means using spreadsheet sections and unique identifiers within these categories,
searching for information directly in a spreadsheet: as the primary basis for your search. As
you review your data, it must be recorded straight away wherever it is saved.
1. To fill new data identify a column of cells.
2.Select 'Function' (Fx) > VLOOKUP and insert the formula into the cell you
have highlighted.
3. To retrieve new data enter the lookup value (Mottola and Kieffer, 2017).
4. For your desired data where it is located enter the table array of the spreadsheet.
5. Enter the column number of the data you want to get back from Excel .
6. To find an exact or approximate match of your lookup value enter your range lookup .
7. Click 'Enter' (or 'Done') and fill new column.
Question 15
a) Calculate the median number of medals for each medal type, stating the formula you would
use for determining the median for the gold medals.
When the total number of given values is odd, the middle number is considered as the
median in the group.
When the total number of given values is even, the average of the two middle numbers is
considered as the median (Nahdi, Jatisunda, Cahyaningsih and Suciawati, 2020).
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back the MEDIAN (middle) number in that particular range. To apply criteria, the IF function
inside MEDIAN is used to "filter" values.
So, first of all values will be sorted in ascending order and for 5th and 6th position median will be
calculated.
Gold Median:
68.5
Silver Median:
60.5
Bronze median:
59.5
b) Calculate the mean number of medals for each of the 3 medal types, stating the formula
you would use for determining the mean for the bronze medals.
Mean:
Gold = 74.8; Silver = 70.5 and Bronze = 65.2 (Nurse and Grant, 2020).
Formula;
Mean is the average of list of values given. Thus to identify the mean of Bronze models
average function will be used (= AVERAGE(list of bronze medals in spread sheet))
c) Calculate the standard deviation of the total medals awarded to each country (column F)
using the formula below.
Standard Deviation σ =76.685
Varianceσ2 =5880.58
Countn =12
Meanx¯ =874
Sum of Squares SS =2589 (Pratt and Searles, 2017).

d) Using the given spreadsheet as a basis, discuss the usefulness of a standard deviation
in a given dataset
It is the most common use proportion which is measurable and the averaging helps in
measuring the focal bias and helps in estimating the circulation of average. Because of the close
link identifies in the mean and have the significant mean provides the defection in the unpaid
part of the focus. The value of the exceptions can be added as the general deviation and helps the
indication of the reasonable bias so the decisions are to be taken in proper manner without the
irregularities and helps in distributing the data according to the average size (Yansen, and Putri,
2019).
Question 16
a) Produce an appropriate fully- labelled chart to compare the gold, silver and bronze medals
totals of the 10 countries.
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overall medals total.
Austria
Canada
Germany
Netherlands
Norway
Russia
Soviet union
Sweden
Switzerland
United States
0
50
100
150
200
250
300
350
400
Total Games
Gold
Silver
Bronze
Total Medals
1
2
3
4
5
6
7
8
9
10
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Books and journals
Mane, F. and Miravet, D., 2016. Using theFortner, C. K. and Jenkins, J .M., 2017. job
requirements approach and matched employer-employee data to investigate the content
of individuals’ human capital. Journal for LabourMarketResearch. 49(2).pp.133-155.
Angermeier, K. and Ansen, H., 2019. Value and understanding of numeracy practices in German
debt counselling from the perspective of professionals. ZDM. pp.1-12.
Cumming, J., Goldstein, H. and Hand, K., 2020. Enhanced use of educational accountability data
to monitor educational progress of Australian students with focus on Indigenous
students. Educational Assessment, Evaluation and Accountability. 32(1). pp.29-51.
Estrada‐Mejia and at.el. 2020. Schooling, numeracy, and wealth accumulation: A study
involving an agrarian population. Journal of Consumer Affairs.54(2). pp.648-674.
Fleisch, B., Schöer, V., Roberts, G. and Thornton, A., 2016. System-wide improvement of early-
grade mathematics: New evidence from the Gauteng Primary Language and

174.
Fortner, C. K. and Jenkins, J .M., 2017. Kindergarten redshirting: Motivations and spillovers
using census-level data. Early Childhood Research Quarterly. 38. pp.44-56.
Gregory, L., Villarosa, A. R., Ramjan, L. M., Hughes, M., O’Reilly, R., Stunden, A., Daly, M.,
Raymond, D., Fatayer, M. and Salamonson, Y., 2019. The influence of mathematics
self‐efficacy on numeracy performance in first‐year nursing students: A quasi‐
experimental study. Journal of clinical nursing, 28(19-20), pp.3651-3659.
Hadden at.el. 2018. Health literacy among a formerly incarcerated population using data from
the transitions clinic network. Journal of Urban Health. 95(4).pp.547-555.
Harris, L., Wyatt-Smith, C. and Adie, L., 2020. Using data walls to display assessment results: a
review of their affective impacts on teachers and students. Teachers and
Teaching. 26(1).pp.50-66.
Jasper, J. D., Bhattacharya, C. and Corser, R., 2017. Numeracy predicts more effortful and
elaborative search strategies in a complex risky choice context: A process‐tracing
approach. Journal of Behavioral Decision Making.30(2).pp.224-235.
Jeffries, D., Curtis, D. D. and Conner, L. N., 2020. Student factors influencing STEM subject
choice in year 12: A structural equation model using PISA/LSAY data. International
Journal of Science and Mathematics Education.18(3).pp.441-461.
Kung, M., Stolz, K., Lin, J., Foster, M. E., Schmitt, S. A. and Purpura, D. J., 2020. The Home
Numeracy Environment and Measurement of Numeracy Performance in English and
Spanish in Dual Language Learners. Topics in Early Childhood Special Education,
p.0271121420942588.
Laracy, S. D., Hojnoski, R. L. and Dever, B. V., 2016. Assessing the classification accuracy of
early numeracy curriculum-based measures using receiver operating characteristic curve
analysis. Assessment for Effective Intervention. 41(3). pp.172-183.
Lindberg, M. and Silvennoinen, H., 2018. Assessing the basic skills of the highly educated in 21
OECD countries: an international benchmark study of graduates’ proficiency in literacy
and numeracy using the PIAAC 2012 data. Comparative Education. 54(3). pp.325-351.
Méndez, L. I., Hammer, C. S., Lopez, L. M. and Blair, C., 2019. Examining language and early
numeracy skills in young Latino dual language learners. Early Childhood Research
Quarterly. 46.pp.252-261.
Mottola, G. R. and Kieffer, C. N., 2017. Understanding and using data from the national
financial capability study. Family and Consumer Sciences Research Journal.46(1).
pp.31-39.
Nahdi, D. S., Jatisunda, M. G., Cahyaningsih, U. and Suciawati, V., 2020. Pre-service teacher's
ability in solving mathematics problem viewed from numeracy literacy
skills. Elementary Education Online, 19(4), pp.1902-1910.
Nurse, M. S. and Grant, W. J., 2020. I’ll see it when I believe it: Motivated numeracy in
perceptions of climate change risk. Environmental Communication.14(2). pp.184-201.
Pratt, M. and Searles, G. E., 2017. Using visuaAngermeier, K. and Ansen, H., 2019. Value and
understanding of numeracy practices in German debt counselling from the perspective
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increase health literacy. Journal of cutaneous medicine and surgery.21(6). pp.497-501.
Yansen, D. and Putri, R. I. I., 2019. Developing PISA-Like Mathematics Problems on
Uncertainty and Data Using Asian Games Football Context. Journal on Mathematics
Education.10(1).pp.37-46.
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