Question 1 [13 marks] The following data represent monthly salaries (in AED) of teachers from a scho

Question 1 [13 marks]

The following data represent monthly salaries (in AED) of
teachers from a school district in Al Safa, Dubai

11,000 17,500 19,200 21,560 11,000 10,000

16,400 11,000 18,000 14,300 16,600 107,000

a) First,
assume you work for the school board in Al Safa and do not wish to raise taxes
to increase salaries Compute the mean, median, and mode, and decide which one
would best support your position to not raise salaries [5
marks]

b) Second,
assume you work for the teachers’ union and want a raise for the teachers Use
the best measure of central location to support your position [2
marks]

c) If the
salaries represented every teacher in the school district, would the averages
be parameters or statistics? [1
mark]

d) Which
measure of central location can be misleading when a data set contains
outliers? Discuss

[2 marks]

e) When you
are comparing the measures of central location, does the distribution display
any skewness? Explain [3
marks]

Question 2 [8 marks]

Describe the differences between quantitative vs
qualitative data and discrete vs continuous; ordinal vs nominal data State
two examples for each of discrete, continuous, ordinal and nominal data

Question 3 [10 marks]

You are looking into a purchasing a medium-sized restaurant
in the area of Mayday You obtain the data of two restaurants for evaluation
The data of the both restaurants are shown below

First Restaurant Second
Restaurant

2014 Gross
Revenues ($) 2014 Gross Revenues ($)

Jan 150,000 Jan 85,674

Feb 142,880 Feb 92,000

Mar 150,000 Mar 84,299

Apr 148,032 Apr 110,902

May 82,930 May 82,930

Jun 97,277 Jun 99,120

Jul 98,827 Jul 98,827

Aug 150,000 Aug 142,880

Sep 150,000 Sep 146,290

Oct 162,754 Oct 166,777

Nov 221,342 Nov 113,200

Dec 230,000 Dec 173,724

Based on the consistency in the gross revenue streams, which
of the restaurants is a better option? Analyze the data and show your analysis

Question 4 [9 marks]

An article in The Melon News on January 6, 2011 provided the
following data on the method for recording votes in 1990, 2000, and 2010,
broken down by number of counties in the Jellio using each method and number of
registered voters using each method The results are as follows:

Number
of Registered Voters Using

Method 1990 2000 2010

Punch cards 3305 3627 2710

Lever machines 4484 2010 1858

Paper ballots 1095 174 156

Optical scan 219 3557 3812

Electronic 73 1409 2337

Mixed 1251 774 1115

a) Construct
a contingency table based on column percentages (round up to 1 decimal point)

[3 marks]

b) Construct
a chart for the percentage distribution of registered voters using each method
in 1990, 2000 and 2010 Place the year in the horizontal axis of the chart [3 marks]

c) Based on
the above, describe the change in the method of recording votes

[3 marks]