Solution: Maths and Statistics for Social Scientists Assessment 2

This document provides a comprehensive solution to the Maths and Statistics for Social Scientists Assessment 2. The solution includes answers to all nine questions, covering a range of statistical concepts such as ratios, proportions, mode, mean, median, variance, linear equations, discrete data, chart types, frequency distributions, moving averages, and correlation. Detailed workings and calculations are provided for each question, ensuring a clear understanding of the problem-solving process. The assessment also involves the interpretation and analysis of data, the creation of tables and charts, and the application of statistical methods to real-world scenarios. The solution is designed to assist students in understanding and mastering the key concepts of statistics relevant to social sciences.

Maths and Statistics for Social Scientists
Assessment 2 Answerfile
23 June 2020
6.00 – 9.00pm (3 hrs)
Important instructions for completing this Answerfile.
Answer all questions
Credit will be given for part answers, so always remember to include your
workings.
This is an ordinary Word file, you can expand space, include tables etc to give
yourself space to complete answers, but try to get your final answer about
where it is indicated on the question.
You are not expected to be able to use Word’s facility to write equations, but
you can always indicate the equation using the normal keyboard of your
computer
You must write your answers in the answer file provided The examination
will become visible to you on Moodle at 6pm prompt. You have 3 hours to
complete it but this means you must have submitted it to TurnItIn by 9pm
sharp
Page 1 of 6

Q1: [10 marks]
(a) Ahmed’s proportion(ratio) is 2/15
Bianca’s proportion (ratio) is 5/15
Vijay’s proportion (ratio) is 8/15
(b) Ahmed receives: 6000
Bianca receives: 15000
Vijay receives: 24000
Q2: [5 marks]
(i) The Mode is 1
(ii) The percentage of teams scoring 5 or more goals is: 10%
(iii) The relative frequency of 3 goals is: 1
Page 2 of 6

Q3: [10 marks]
(a) Σ(x – 2) = 30
(b) Σx2 = 1600
(c) The mean = 8
(d) The median = 8
(e) The mode = Data is not repeated so not possible
The variance of this dataset is: 6.75
Show your full working to calculate the variance, you may need to continue on the next
page, and quote your answer rounded to a whole number
Q4: [10 marks]
(i) Write down the two tables using Word’s table facility and fill it out for each
equation using representative values of the independent variable.
1. y = X = 1
2. y = X = -2
Page 3 of 6

(ii) The point of intersection is:
X = 1; y = 2
Q5: [10 marks]
The equation of the straight line connecting the points (0, 1) and (3, -5) is: y = -2x + 1
Q6: [10 marks]
(i) This kind of data is termed…
Discrete data
(ii) Which kind of chart is best suited to displaying this data and why?
Pie chart
(iii) Would percentages improve the value of the data? Do the percentages given add up to
100%? If not, why not?
30.9%
Page 4 of 6

Q7: [20 marks]
Here is the table repeated for you to fill in. You may wish to write the class boundaries separately.
Classes Frequency Class Width Class Height or
Frequency Density
11 – 25 30 14 4200
26 – 50 100 24 2400
51 – 100 150 59 8850
Q8: [5 marks]
Here is the table repeated for you to fill in
Raw data Moving Average
10 10
13 11.5
11 11.33
15 12.25
17 11.2
13 11.5
15 13.4
Page 5 of 6

Q9: [20 marks]
(a) The mean point, (x , y ¿ , is
(b) I would describe the correlation of the data as
(c) The equation of the Line of Best Fit is: (write this in the form ‘y = mx + c’)
(d) What blood pressure would you predict for a stress level of 90?
End of exam paper
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