1 In June an investor purchased 300 portions of Oracle at $ 20 a portion. In August she purchased an extra 400 portions at $ 25 per portion. In November she purchased another 400 portions at $ 23. What is the average monetary value paid for portions by this investor?
2 The five twelvemonth annualized entire returns of six common financess are given in the tabular array below, What is the average return, what is the average return, what is the geometric mean? Is the distribution of returns skewed?
Name of financess 
return 
PBHG 
28.5 % 
Dean Witter 
17.2 % 
Purpose 
25.4 % 
Giftrust 
28.6 % 
Robertson Stevens 
22.6 % 
Seligman 
21.0 % 
Median = 24.
The arithmetic mean = 23.88
Geometric mean = 23.51 – the geometric mean is ever less than the arithmetic mean
Mean & lt ; average = & gt ; the distribution is negatively skewed
3The oneyear wages of quality control directors in selected provinces are shown below. What is the average oneyear wage, what is the mean?
province 
Salary 
province 
wage 
province 
wage 
Grand canyon state 
$ 35,000 
Illinois 
58,000 
Buckeye state 
50,000 
California 
49,100 
Louisiana 
60,000 
Volunteer state 
60,000 
Centennial state 
60,000 
Old line state 
60,000 
Texas 
71,400 
Florida 
60,000 
Massachussetts 
40,000 
West Virginia 
60,000 
Idaho 
40,000 
New Jersey 
65,000 
Wyoming 
55,000 
Mode = 60,000
Mean= 54.9
4 Your wage this twelvemonth is ?30,000, your employer promised you a 5 % addition this twelvemonth, and a 15 % addition the twelvemonth after – what will be your salary in two old ages clip – what is the mean oneyear salary addition over the period?
Year 1: 31500
Year 2: 36225
The mean salary addition is given by the geometric mean – non the arithmetic 1
GM = 1.09886
You can look into that 30000 * 1.09886 = 32965.80
32965.8 * 1.09886 = 36224.80 – about equal to 36225 calculated above.
5 The Numberss of traffic offenses in Egham over the last 5 hebdomads are 38, 26, 13, 41, and 22. What is the average figure of offenses per hebdomad – what is the population discrepancy, standard divergence, scope?
Mean = 28,
Variance = 106.8 = & gt ; sd =10.33
The scope is = 28
6 The hourly rewards for a sample of parttime employees at fruit baggers are ?12, ?20, ?16, ?18, and ?19. What is the sample discrepancy? What is the sample criterion divergence?
Mean =17,
Sample discrepancy = ?10, sd = 3.16
7 Listed beloew are the committees earned last months by a sample of 15 agents.
2,038 1,758 1,721 1,637 2,097 2,047 2,205 1,787 2,287 1,940 2,311 2,054 2,406 1,471 1,460
Locate the median, foremost quartile, 3rd quartile and interquartile scope for the committees earned?
Md= 2,308
The first quartile is composed of the first 25 % observation:
L25 = 4, so the 4th observation is our 1st quartile value. Q1= 1,721
Similarly L75 =12, Q3= 2,205.
The interquartile scope is Q3Q1 = 484
8 The followers are the net incomes per portion for a sample of 15 package companies for the twelvemonth 2008. The net incomes are ranked from the smallest to the largest.
0.09 0.13 0.41 0.51 1.12 1.20 1.49 3.18 3.50 6.36 7.83 8.92 10.13 12.99 16.40
Calculate the mean, average and standard divergence. Is the distribution skewed?
Mean = 4.95
Median = 3.18
Sample standard divergence = 5.22
positively skewed.
9 – The frequence distribution of the vehicle merchandising monetary values at Autoplex is the following?
Selling monetary value in ?1,000 
Frequency 
15 & lt ; 18 
8 
18 & lt ; 21 
23 
21 & lt ; 24 
17 
24 & lt ; 27 
18 
27 & lt ; 30 
8 
30 & lt ; 33 
4 
33 & lt ; 36 
2 
Entire 
80 
Construct the histogram for the distribution of the monetary values of vehicle sold. What is the average monetary value and discrepancy of the vehicle sold? What is the monetary value at which 50 % of vehicles were sold for less than that monetary value?
Mean: 23.0625
Discrepancy: 188.013
Half the autos are sold for less than ?22,588
10 – The tabular array below shows the frequence distribution for the figure of orders received by a company each twentyfour hours based on a random sample of 80 yearss:
Orders 
Number of Days 
I M 
D=f/i 
frequency modulation Cf 

0 to & lt ; 10 
5 
10 5 
0.5 
25 5 
6961.11 
10 to & lt ; 20 
14 
10 15 
1.4 
210 19 
10443.62 
20 to & lt ; 40 
25 
20 30 
1.25 
750 44 
3789.94 
40 to & lt ; 60 
16 
20 50 
0.8 
800 60 
945.56 
60 to & lt ; 100 
20 
40 80 
0.5 
1600 80 
28406.95 
Sums 
80 
3385 
50547.18 
( a ) Draw a histogram for the sorted frequence distribution in the tabular array.
( B ) Calculate the mean, standard divergence and median of the informations (you must demo your working) , and construe your consequences.
Mean: 42.3125
South dakota: 25.295
Median: 36.8
positive skew in the distribution.
( degree Celsius ) What is the chance that orders exceed 50 per twentyfour hours.
P ( orders & gt ; 50 ) = 0.35
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