Higher Engineering Mathematics

(Greg DeLong) #1
PRESENTATION OF STATISTICAL DATA 531

J

Period of
Time 123456
Number of
Vehicles 35 44 62 68 49 41
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If one symbol is used to
represent 10 vehicles,
working correct to the
nearest 5 vehicles,
gives 3^12 ,4^12 ,6,7,5and4
symbols respectively.

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  1. The number of components produced by a
    factory in a week is as shown below:


Day Number of Components
Mon 1580
Tues 2190
Wed 1840
Thur 2385
Fri 1280

Show these data on a pictogram.
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If one symbol represents
200 components, working
correct to the nearest
100 components gives:
Mon 8, Tues 11, Wed 9,
Thurs 12 and Fri 6^12.

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  1. For the data given in Problem 1 above, draw
    a horizontal bar chart.




6 equally spaced horizontal
rectangles, whose lengths are
proportional to 35, 44, 62,
68, 49 and 41, respectively.





  1. Present the data given in Problem 2 above on
    a horizontal bar chart.





5 equally spaced
horizontal rectangles, whose
lengths are proportional to
1580, 2190, 1840, 2385 and
1280 units, respectively.






  1. For the data given in Problem 1 above,
    construct a vertical bar chart.





6 equally spaced vertical
rectangles, whose heights
are proportional to 35, 44,
62, 68, 49 and 41 units,
respectively.






  1. Depict the data given in Problem 2 above on
    a vertical bar chart.





5 equally spaced vertical
rectangles, whose heights are
proportional to 1580, 2190,
1840, 2385 and 1280 units,
respectively.






  1. A factory produces three different types of
    components. The percentages of each of
    these components produced for three, one-
    month periods are as shown below. Show
    this information on percentage component
    bar charts and comment on the changing trend
    in the percentages of the types of component
    produced.


Month 1 2 3
Component P 20 35 40
Component Q 45 40 35
Component R 35 25 25
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Three rectangles of equal
height, subdivided in the
percentages shown in the
columns above.Pincreases
by 20% at the expense
ofQandR

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  1. A company has five distribution centres and
    the mass of goods in tonnes sent to each centre
    during four, one-week periods, is as shown.


Week 1234
Centre A 147 160 174 158
Centre B 54 63 77 69
Centre C 283 251 237 211
Centre D 97 104 117 144
Centre E 224 218 203 194

Use a percentage component bar chart to
present these data and comment on any
trends.
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Four rectangles of equal
heights, subdivided as follows:
week 1: 18%, 7%, 35%, 12%,
28% week 2: 20%, 8%, 32%,
13%, 27% week 3: 22%, 10%,
29%, 14%, 25% week 4: 20%,
9%, 27%, 19%, 25%. Little
change in centresAandB,a
reduction of about 8% inC,an
increase of about 7% inDand a
reduction of about 3% inE.

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