Two hundred students of class VI and VII were asked to name their favourate colours so as to decide upon what should be the colour of their school house. The results are shown in the following table.

Colour: Red Green Blue Yellow Orange

Number of students: 43 19 55 49 34

Represent the given data on a bar graph.
(i) Which is the most preferred colour and which is the least?
(ii) How many colours are there in all?

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Solution

Mark the horizontal axis OX as “Name of the Colour” and the vertical axis OY as “Number Of Students”.

Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.

Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 small division to represent 10 student.

Answers:-

(i) The most preferred colour is blue and the least preferred is green.
(ii) In all, there are 5 colours.

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Question 10

Students of a class voted for their favourite colour and a pie chart was prepared based on the data collected.

Which of the following is a reasonable conclusion for the given data?

(a) $\frac{1}{20}$ th student voted for blue colour

(b) Green is the least popular colour

(d) Number of students liking together yellow and green colour is approximately the same as those for red colour.

Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.

Colours	Number of people
Blue	18
Green	9
Red	6
Yellow	3
Total	36

The bar graph shows the favourite colours of 20 students in a class. How many more favoured orange than green?

$\begin{matrix} C o l o u r s & N o . o f p e o p l e B l u e & 18 G r e e n & 9 R e d & 6 Y e l l o w & 3 T o t a l & 36 \end{matrix}$

Draw a pie chart showing the given information. The table shows the colours preferred by a group of people. Calculate the respective proportion of each colour and use that proportion to find the central angle. What is the percentage of the colour red?

Q. Aluminium sulphate and copper sulphate solutions were taken in two test tubes I and II respectively. Iron filings were then added to both the solutions. The four students A, B, C and D recorded their observations in the form of a table as given below.

Student	Aluminium sulphate solution (I)	Copper sulphate solution (II)
A	Colourless changes to light green	Blue colour of the solution is retained
B	Colour of colourless solution does not change	Blue colour of the solution changes to light green
C	Colourless solution changes to light blue	Blue colour of the solution changes to colourless
D	Colour of colourless solution remains unchanged	Blue colour of the solution fades away

The correct set of observations have been recorded by the students :
(1) A
(2) B
(3) C
(4) D

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Colour:	Red	Green	Blue	Yellow	Orange
Number of students:	43	19	55	49	34