The above histogram shows that 7.61 have got the highest frequency.
Question 2 (10 marks)
Asset
2005
2006
2007
2008
2009
Mean
Property
69
71
86
91
86
80.6
Plant and Machinery
160
160
170
180
175
169
Stock and work-in-progress
520
550
580
600
590
568
Debtors
410
440
510
550
580
498
Cash
25
50
100
80
55
62
In the distribution of Asset Stock and work in progress has got the highest number of frequency.
Question 3 (25 marks)
Statistics
Customers
N
Valid
30
Missing
0
Mean
5.3973
Median
5.3300
Mode
5.33
Std. Deviation
2.51226
Range
9.53
Quartiles
Q1 25
3.6550
Q2 50
5.3300
Q3 75
6.9525
Inter-quartile range= 1.65
As from above table we can observed that the value of mean, median and mode is same i.e.=5.3 so we can say that the during lunch hours a customer have to wait Almost certainly not longer than five minutes.
Question 4 (25 marks)
Mean
43.82743
St.dev
44.70956
Median= 44
Mean
48.82743
Var
2464.278
St.dev
49.64149
Mean
55.82743
Var
3200.118
St.dev
56.56958
The cumulative frequencies are contrived along the y-axis contrary to the genuine smaller restricts of the corresponding categories which are comprised by the x-axis. The more than ogive is got by connecting all the points (with the genuine top restrict of the largest class with none frequency) by a ogive curve.
Question 5 (25 marks)
A survey of house prices in five local newspapers provides the following information:
Price of house in £,000
Number of houses sold
Below 150
20+X
150 but under 170
82+X
170 but under 190
52+X
190 but under 210
37+X
210 but under 230
18+X
230 but under 250
10+X
250 but under 270
4+X
TOTAL
223 + 7*X
Calculate the mean and standard deviation of house prices in the area and make appropriate comments on the data (5 marks).
Mean
180.3478
St.dev
182.9501
Draw a frequency histogram (5 marks).
The class interval 150-170 has got the highest frequency of house prices.
Draw a cumulative frequency chart (OGIVE) and determine the value of the median (5 marks).
We can present data in a grouped frequency distribution as a cumulative frequency distribution. The cumulative frequency at any issue of the distribution is granted by the addition of all frequencies at that time. Consider the next example. When the frequencies are cumulative frequencies.
cumulative frequency bend is furthermore renowned as the warhead is a graphical representation of the cumulative frequency distribution of a relentless variable. In the development of warhead, the points are contrived with cumulative frequency (cf) along the axis and the corresponding class boundries along the axis "x" and connect them freely. There are two kinds of giving:
(I) Except for nose (ii) More ribbed
(I) Unless ribbed: First arrange a less than cumulative frequency in which case the frequencies are supplemented in sequence from peak to bottom. After taking the top boundries of class gaps as xy coordinates corresponding to less than cumulative frequency as coordinates, points are plotted. The points therefore got will without coercion connected not less than ribbed. Obviously, less than ogive is a bend of increasing up empty canister from left to right and has the gradient of an elongated S.
(Ii) More ribbed: First arrange cumulative frequencies over which the frequencies of situations are supplemented in sequence from base to top. After taking the smaller boundries of the class gaps as the coordinates x, and the frequencies corresponding to more than cumulative, as coordinates, points are ...