Question 1
Use the list of values of the AEI and RPI in the following table:
Month / 1998 / 1999AEI / RPI / AEI / RPI
January / 110.7 / 159.5 / 116.4 / 163.4
june / 112.6 / 163.4 / 119.0 / 165.6
a) calculate as a percentage the real earnings for i) Jan 1999 and ii) Jun 1999 compared with one year earlier.
b) From part ( a ) can you say that the real earnings in summer are higher than the real earnings in
winter?
Question 2
The grades of 15 students who passed AR111 and EL111 are recorded in the following table:
AR111 / 66 / 64 / 63 / 85 / 63 / 58 / 68 / 65 / 86 / 58 / 60 / 57 / 77 / 73 / 69EL111 / 80 / 56 / 73 / 79 / 64 / 51 / 74 / 77 / 84 / 50 / 57 / 52 / 88 / 77 / 82
Find the mean, the median, the range, the interquatile range, the relative spread and the standard deviation of the grades of each of AR111 and EL111?
Question 3
The following table is
May 1992 / May 1993RPI / 139.3 / 141.1
AEI / 113.9 / 118.0
a)Calculate the rate of inflation in may 1993 ( to 1 decimal )
b)Calculate the purchasing power of the pound in may 1993 compared with one year earlier.
c)An index-linked pension was 170 pound in may 1992. what should it be in may 1993 ?
d)Calculate the real earning (as percentage) for may 1993 compared with one year earlier.
Question 4
Group / Price ratios for July 2001 / 2001 weightsFood and Catering / 1.028 / 175
Alcohol and Tobacco / 1.012 / 100
Housing and household expenditure / 1.025 / 350
Personal expenditure / 1.051 / 98
Travel and leisure / 1.043 / 277
Use the information in the table above and the fact that the value of the RPI in Jan 2001 was 168.8 to answer the following:
a) Find the all-item ratio for July 2001 relative to Jan 2001 ( to 6 decimal place).
b) Find the value of the RPI in July 2001
c) Which group had the most effect on the RPI ? explain your answer briefly.
e)Which group had the least effect on the RPI ? explain your answer briefly.
Question 5
a) A ticket from Al Hassa to Jeddah costs $860. Calculate the new cost if ticket price rise by 8%?
(With 2 decimal)
b) Find the seq( 3X,X,2,7)
c) A ticket from Al Hassa to Jeddah costs $860. Calculate the new cost if ticket price decrease 12%?
(With 3 decimal)
d) Find the seq( 4X,X,1,7)
Question 6
Month / 2002 / 2003Jan / 159.5 / 170.3
Feb / 160.3 / 172.4
Mar / 160.8 / 174.8
Apr / 162.6 / 176.6
May / 163.5 / 177.7
Jun / 163.4 / 178.2
Jul / 163.0 / 179.5
Aug / 163.7 / 181.3
Sep / 164.4 / 184.4
Oct / 164.5 / 187.8
Nov / 164.4 / 188.8
Dec / 164.9 / 189.9
Use the list of the RPI in the table to find the following?
(a)The annual rate of inflation in Feb 2003 and May 2003.
(b)A pension was $90 per week in Apr 2002. What should it be in Apr 2003?
(c)A pension was $75 per week in Jun 2002. What should it be in Jun 2003?
(d)The purchasing power of the pound in Mar 2003 compared with one year earlier.