Higher Engineering Mathematics, Sixth Edition

Presentation ofstatistical data 533

The profit when selling 700units of the productis

£

700 × 60

100

,that is,£420

Now try the following exercise

Exercise 205 Further problemson

presentation of ungrouped data

1. The number of vehicles passing a stationary
   observer on a road in six ten-minute intervals
   is as shown. Draw a pictogram to represent
   these data.

Period of

Time 1 2 3 4 5 6

Number of

Vehicles 35 44 62 68 49 41

⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣

If one symbol is used to

represent 10 vehicles,

working correct to the

nearest 5 vehicles,

gives 3^12 , 412 ,6, 7, 5 and 4

symbols respectively.

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2. 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.

⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣

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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3. 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.

⎤

⎥

⎥

⎦

4. 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.

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5. 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.

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6. 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.

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7. A factory produces three different types of
   components. The percentages ofeach of
   these components produced for three, one-
   monthperiods 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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