Assignment of analytical skills for business and the subject area is IB. the results are obtained by using SPSS software.
Pilot Assessment 1: Individual Assignment
Solution 1
Data Set
4
7
3
4
4
5
3
4
7
3
8
9
2
5
6
5
9
6
6
8
4
7
4
8
9
6
5
9
3
3
Frequency Distribution
(X present in the data is assumed to be equal 1)
Statistics
Number of Vans on duties
N
Valid
30
Missing
0
Mean
5.5333
Median
5.0000
Mode
4.00
Std. Deviation
2.14530
Range
7.00
Number of Vans on duties
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
2
1
3.3
3.3
3.3
3
5
16.7
16.7
20.0
4
6
20.0
20.0
40.0
5
4
13.3
13.3
53.3
6
4
13.3
13.3
66.7
7
3
10.0
10.0
76.7
8
3
10.0
10.0
86.7
9
4
13.3
13.3
100.0
Total
30
100.0
100.0
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
Number of Vans on duties
30
100.0%
0
.0%
30
100.0%
Descriptives
Statistic
Std. Error
Number of Vans on duties
Mean
5.5333
.39168
95% Confidence Interval for Mean
Lower Bound
4.7323
Upper Bound
6.3344
5% Trimmed Mean
5.5185
Median
5.0000
Variance
4.602
Std. Deviation
2.14530
Minimum
2.00
Maximum
9.00
Range
7.00
Interquartile Range
3.25
Skewness
.277
.427
Kurtosis
-1.138
.833
Tests of Normality
Kolmogorov-Smirnova
Shapiro-Wilk
Statistic
df
Sig.
Statistic
df
Sig.
Number of Vans on duties
.163
30
.042
.925
30
.036
a. Lilliefors Significance Correction
Histogram with Normal Curve
Interpretation
The provided data of vans on duties is normally distributed which can be analyzed by histogram which is bell shaped and from both the normality tests of Kolmogorov-Smirnova and Shapiro-Wilk the significant value is less than 0.05.
Discussion
Frequencies distribution provides statistics and graphs that are useful to describe many types of variables. Frequencies procedure is a good place to start your data. To report the frequency and histogram can organize a variety of values ??in ascending or descending order, or you can use categories and their frequency.
Reliable statistics such as median, quartiles and percentiles, are appropriate for quantitative variables, or do not meet the assumption of normality.
Solution 2
Visual representation that best conveys the comparison of different assets over a 5-year period
Years
Property
Plant and Machinery
Stock and work-in-progress
Debtors
Cash
2005
69
160
520
410
25
2006
71
160
550
440
50
2007
86
170
580
510
100
2008
91
180
600
550
80
2009
86
175
590
580
55
Years: 1 = 2005
2 = 2006
3 = 2007
4 = 2008
5 = 2009
Discussion
In the above graph the comparison of different assets over a 5-year period has been made. Over the last five years the provided data from 2005 to 2009, assets have shown growth per year collectively.
In the last year i.e. 2009 the value of all assets is less than the value of 2008 except for the value of debtors.
Solution 3
Data set
5.27
2.59
4.24
5.33
7.77
3.78
6.45
3.28
5.56
8.1
1.38
5.33
8.66
8.29
4.76
6.55
6.66
4.65
6.68
1.78
1.54
9.66
6.37
2.39
8.55
5.26
5.72
4.87
9.99
0.46
Frequencies
Statistics
Customer Data
N
Valid
30
Missing
6
Mean
5.3973
Median
5.3300
Mode
5.33
Std. Deviation
2.51226
Range
9.53
Customer Data
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
0.46
1
2.8
3.3
3.3
1.38
1
2.8
3.3
6.7
1.54
1
2.8
3.3
10.0
1.78
1
2.8
3.3
13.3
2.39
1
2.8
3.3
16.7
2.59
1
2.8
3.3
20.0
3.28
1
2.8
3.3
23.3
3.78
1
2.8
3.3
26.7
4.24
1
2.8
3.3
30.0
4.65
1
2.8
3.3
33.3
4.76
1
2.8
3.3
36.7
4.87
1
2.8
3.3
40.0
5.26
1
2.8
3.3
43.3
5.27
1
2.8
3.3
46.7
5.33
2
5.6
6.7
53.3
5.56
1
2.8
3.3
56.7
5.72
1
2.8
3.3
60.0
6.37
1
2.8
3.3
63.3
6.45
1
2.8
3.3
66.7
6.55
1
2.8
3.3
70.0
6.66
1
2.8
3.3
73.3
6.68
1
2.8
3.3
76.7
7.77
1
2.8
3.3
80.0
8.1
1
2.8
3.3
83.3
8.29
1
2.8
3.3
86.7
8.55
1
2.8
3.3
90.0
8.66
1
2.8
3.3
93.3
9.66
1
2.8
3.3
96.7
9.99
1
2.8
3.3
100.0
Total
30
83.3
100.0
Missing
System
6
16.7
Total
36
100.0
Histogram with normal curve
Interpretation
The data of customers is normally distributed which is analyzed through the bell shaped histogram. The case in data are 6 missing and 30 valid cases.
Solution 4
Data set
Access time in milliseconds
Frequency
30 but less than 35
38
35 but less than 40
55
40 but less than 45
30
45 but less than 50
49
50 but less than 55
20
55 but less than 60
34
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
Customer Data
30
83.3%
6
16.7%
36
100.0%
Descriptives
Statistic
Std. Error
Customer Data
Mean
5.3973
.45867
95% Confidence Interval for Mean
Lower Bound
4.4592
Upper Bound
6.3354
5% Trimmed Mean
5.4056
Median
5.3300
Variance
6.311
Std. Deviation
2.51226
Minimum
.46
Maximum
9.99
Range
9.53
Interquartile Range
3.30
Skewness
-.116
.427
Kurtosis
-.599
.833
Extreme Values
Case Number
Value
Customer Data
Highest
1
33
9.99
2
12
9.66
3
14
8.66
4
21
8.55
5
17
8.29
Lowest
1
36
.46
2
8
1.38
3
9
1.54
4
35
1.78
5
18
2.39
Box Plot
Frequency
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
24
1
3.3
16.7
16.7
34
1
3.3
16.7
33.3
38
1
3.3
16.7
50.0
42
1
3.3
16.7
66.7
53
1
3.3
16.7
83.3
59
1
3.3
16.7
100.0
Total
6
20.0
100.0
Missing
System
24
80.0
Total
30
100.0
Discussion
Descriptives procedure displays univariate statistic for multiple variables in a single table and calculates standardized values ??(Z scores). For Z estimates are stored, they are added to the data in the editor and are available for charts, data lists and reports. Question 5
A survey of house prices in five local newspapers provides the following information: