Chapter 1.1, Problem 15E

Solution

(a)

To find: Percentage of vehicles that would fall in other category given the relative frequency distribution of vehicles by colours sold worldwide,

Color	Percentage of Vehicles
Black	19
Blue	6
Brown /beige	5
Gray	12
Green	1
Red	9
Silver	14
White	29
Yellow/gold	3
Other	??

The percentage of other vehicles is 2%.

Given the relative frequency distribution of vehicles by colours sold worldwide,

Color	Percentage of Vehicles
Black	19
Blue	6
Brown beige	5
Gray	12
Green	1
Red	9
Silver	14
White	29
Yellow/gold	3
Other	??

The percentage of other vehicles is equal to 100- sum of percentage of vehicles of listed colours since total frequency should add up to 100.

That is percentage of other vehicles

  =100-19+6+5+12+1+9+14+29+3

  =100-98

  =2

Hence the percentage of other vehicles is2%.

(b)

To draw: a bar chart with the following information.

Color	Percentage of Vehicles
Black	19
Blue	6
Brown /beige	5
Gray	12
Green	1
Red	9
Silver	14
White	29
Yellow/gold	3
Other	??

The bar chart is given below. Data reveals that maximum people have passion for white colour since highest percentage of cars bought is white ( 29%) followed by black ( 19%) and then silver (14%) as per data description given in question. The least favoured colour is Green ( 1%).

  

The two columns of the data are entered as decimals after dividing by 100. These are formatted as percentages and a column chart is plotted.

  

Conclusion: Data reveals that maximum people have passion for white colour since highest percentage of cars bought is white ( 29%) followed by black ( 19%) and then silver (14%) as per data description given in question. The least favoured colour is Green ( 1%).

(c)

To determine: whether pie chart can be drawn.

Yes. Pie chart can be drawn.

Pie chart can be drawn as the data represent the whole phenomenon. That is percentage of total vehicles sold is broken by colour and percentage adds to 100.