Data Handling

Mathematics

Mathematics

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To represent the given data by a bar-graph, draw two axes perpendicular to each other. Now, represent ‘Months’ on OX and ‘Number of watch sold’ on OY. Erect rectangles of the same width. The heights of the rectangles are proportional to number of watches, using a suitable scale:

Here, scale is 1 cm = 500 watches

Since 500 watches = 1 cm

1000 watches = 2 cm

1500 watches = 3 cm

2000 watches = 4 cm

2500 watches = 5 cm

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A group of students were asked to say which animal they would like most to have as a pet. The results are given below:

dog, cat, cat, fish, cat, rabbit, dog, cat, rabbit, dog, cat, dog, dog, dog, cat, cow, fish, rabbit, dog, cat, dog, cat, cat, dog, rabbit, cat, fish, dog.

Make a frequency distribution table for the same.

dog, cat, cat, fish, cat, rabbit, dog, cat, rabbit, dog, cat, dog, dog, dog, cat, cow, fish, rabbit, dog, cat, dog, cat, cat, dog, rabbit, cat, fish, dog.

Make a frequency distribution table for the same.

Using tally-marks, we have:

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Draw an appropriate graph to represent the given information.

Since, a comparison of two activities (walking and cycling) is to be represented, therefore a double-graph is drawn by taking the schools along x-axis and number of children along y-axis, using a scale of 1 cm = 5 children.

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Draw an appropriate graph to represent the given information.

Percentage wins in ODI by 8 top cricket teams.

Percentage wins in ODI by 8 top cricket teams.

To compare the percentage win in ODI achieved by various teams, we represent the data by a double-bar graph. We represent the teams along the x-axis and their ‘percentage win’ along y-axis, using the scale 1 cm = 5%.

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Study the following frequency distribution table and answer the questions given below.

**Frequency distribution of daily income of 550 workers of a factory**

(i) What is the size of the class intervals?

(ii) Which class has the highest frequency?

(iii) Which class has the lowest frequency?

(iv) What is the upper limit of the class interval 250-275?

(v) Which two classes have the same frequency?

(i) Class size = [Upper class limit] - [Lower class limit] = 125 - 100 = 25.

(ii) The class 200-225 is having the highest frequency (which is 140).

(iii) The class 300-325 is having the lowest frequency (which is 20).

(iv) The upper limit of the class interval 250-275 is 275.

(v) The classes (150–175) and (225-250) are having the same frequency (which is 55).

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