Chapter 5: Data Handling

Q21Written answer

On the scale of 1-unit length = 10 crore, the bar of length 6 units will represent ________ crore and of units will represent 75 crore.

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Solution:-

From the question, it is given that, 1 – unit length = 10 crore,

So, a bar of length 6 units = 6 × 10

= 60 crore

Then, the number of units will represent 75 crore = 75/10

= 7.5 units

On the scale of 1-unit length = 10 crore, the bar of length 6 units will represent 60 crore and of 7.5 units will represent 75 crore.

Q22Written answer

In an examination, the grades achieved by 30 students of a class are given below. Arrange these grades in a table using tally marks: B, C, C, E, A, C, B, B, D, D, D, D, B, C, C, C, A, C, B, E, A, D, C, B, E, C, B, E, C, D

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Solution:-

From the question, it is given that,

The grades achieved by 30 students of a class, B, C, C, E, A, C, B, B, D, D, D, D, B, C, C, C, A, C, B, E, A, D, C, B, E, C, B, E, C, D.

These marks are represented in the table by using tally marks,

Grades	Tally marks	Number of Students
A		3
B		7
C		10
D		6
E		4

Q23Written answer

The number of two-wheelers owned individually by each of the 50 families is listed below. Make a table using tally marks.

1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 3, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 4, 1, 3, 1, 1, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1

Find the number of families having two or more two-wheelers.

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Solution:-

From the question, it is given that,

The number of two-wheelers owned individually by each of the 50 families is,

1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 3, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 4, 1, 3, 1, 1, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1

Number of two-wheelers	Tally marks
0
1
2
3
4

Q24Written answer

The lengths in centimetres (to the nearest centimetre) of 30 carrots are given as follows:

15, 22, 21, 20, 22,15, 15, 20, 20,15, 20, 18, 20, 22, 21,

20, 21, 18, 21, 18, 20, 18, 21, 18, 22, 20, 15, 21, 18, 20

Arrange the data given above in a table using tally marks and answer the following questions.

(a) What is the number of carrots which have a length of more than 20 cm?

(b) Which length of the carrots occur a maximum number of times? TA minimum number of times?

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Solution:-

Lengths in cm	Tally marks	Number of carrots
15		5
18		6
20		9
21		6
22		4

(a) From the table, 10 carrots have lengths of more than 20 cm.

(b) From the table, the 20 cm length of the carrots occurs the maximum number of times, and the 22 cm length of the carrots occurs the minimum number of times.

Q25Written answer

Thirty students were interviewed to find out what they want to be in future. Their responses are listed below:

doctor, engineer, doctor, pilot, officer, doctor, engineer, doctor, pilot, officer, pilot, engineer, officer, pilot, doctor, engineer, pilot, officer, doctor, officer, doctor, pilot, engineer, doctor, pilot, officer, doctor, pilot, doctor, engineer

Arrange the data in a table using tally marks.

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Solution: –

Responses	Tally marks	Number of Response
Doctor		10
Engineer		6
Pilot		8
Officer		6

Q26Written answer

Following are the choices of games of 40 students of Class VI:

football, cricket, football, kho-kho, hockey, cricket, hockey, kho-kho, tennis, tennis, cricket, football, football, hockey, kho-kho, football, cricket, tennis, football, hockey, kho-kho, football, cricket, cricket, football, hockey, kho-kho, tennis, football, hockey, cricket, football, hockey, cricket, football, kho-kho, football, cricket, hockey, football.

(a) Arrange the choices of games in a table using tally marks.

(b) Which game is liked by most of the students?

(c) Which game is liked by the minimum number of students?

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Solution: –

(a)