Assignment

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ASSIGNMENT

Assignment

Assignment

Question 1 (15 marks)

a)

vans (Binned)

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

<= 2.00

1

3.3

3.3

3.3

3.00 - 3.40

5

16.7

16.7

20.0

3.41 - 4.80

6

20.0

20.0

40.0

4.81 - 6.20

8

26.7

26.7

66.7

6.21 - 7.60

3

10.0

10.0

76.7

7.61+

7

23.3

23.3

100.0

Total

30

100.0

100.0

b)

c)

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 ...
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