Presentation ofstatistical data 533
The profit when selling 700 units of the product is
£
700 × 60
100
, that is, £420
Now try the following exercise
Exercise 205 Further problems on
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
1
2 , 4
1
2 , 6, 7, 5 and 4
symbols respectively.
⎤
⎥
⎥
⎥
⎥
⎥
⎥
⎦
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
1
2 .
⎤
⎥
⎥
⎥
⎥
⎥
⎥
⎦
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.
⎤
⎥
⎥
⎥
⎥
⎦
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.
⎤
⎥
⎥
⎥
⎥
⎦
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.
⎤
⎥
⎥
⎥
⎥
⎦
7. A factory produces three different types of
components. The percentages of each of
these components produced for three, onemonth 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
⎡
⎢
⎢
⎢
⎢
⎢
⎢
⎣
Three rectangles of equal
height, subdivided in the
percentages shown in the
columns above. P increases
by 20% at the expense
of Q and R
⎤
⎥
⎥
⎥
⎥
⎥
⎥
⎦
The profit when selling 700 units of the product is
£
700 × 60
100
, that is, £420
Now try the following exercise
Exercise 205 Further problems on
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
1
2 , 4
1
2 , 6, 7, 5 and 4
symbols respectively.
⎤
⎥
⎥
⎥
⎥
⎥
⎥
⎦
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
1
2 .
⎤
⎥
⎥
⎥
⎥
⎥
⎥
⎦
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.
⎤
⎥
⎥
⎥
⎥
⎦
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.
⎤
⎥
⎥
⎥
⎥
⎦
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.
⎤
⎥
⎥
⎥
⎥
⎦
7. A factory produces three different types of
components. The percentages of each of
these components produced for three, onemonth 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
⎡
⎢
⎢
⎢
⎢
⎢
⎢
⎣
Three rectangles of equal
height, subdivided in the
percentages shown in the
columns above. P increases
by 20% at the expense
of Q and R
⎤
⎥
⎥
⎥
⎥
⎥
⎥
⎦