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Information Report

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MTH-302 Prepared By: Raheel Raaj M. Accounting & Finance
Question 1
Find the centered average and trends in the following data
Quarter Actual Moving Average Centered Average Trend
1 198 2 96 3 202 170.5 31.5 4 186 166 168.25 20 5 180 159.25 162.625 20.75 6 69 184.25 171.75 -115.25 7 302 215.25 199.75 86.75 8 310 220.5 217.875 89.5 9 201 223.75 222.125 -22.75 10 82 194.5 209.125 -112.5 11 185 191.5 193 -6.5 12 298
Question 2:
a) If the five numbers cards 1,2,3,4,5 are put into a box, in how many different a) ways could you draw one out?
Ans:
= 5 x 4 x 3 x 2 x 1 = 5! = 120
b) When one of them has been drawn, in how many ways could you a) draw a second?
Ans:
5
P
2
= 5! / (5 - 2)! = 120/2 = 60
c) Therefore, in how many ways could you draw two numbers?
Ans:
2! = 2 x 1 2! =2 d) What is the meaning of the symbol
5
P
4
?
Ans:
The number of permutations of 5 different things taken 4 at a time. e) Evaluate
5
P
4
Ans:
n
P
r
= n! / (n - r)!
5
P
4
= 5! / (5 - 4)!
5
P
4
= 5 x 4 x 3 x 2 x 1 / 1!
5
P
4
= 120

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