1. Which of the following, using tally marks, best describes the number eight?

Data Management Picture 1 from NCERT Exemplar Class 6 Mathematics Chapter 5 Solutions

Explanation:

Data Management Picture 2 from NCERT Exemplar Class 6 Mathematics Chapter 5 Solutions

Data Management Picture 3 in NCERT Exemplar Class 6 Mathematics Answers Chapter 5 represents the number 5.

Data Management Picture 4 in NCERT Exemplar Class 6 Mathematics Answers Chapter 5 represents number 3.

So, 5 + 3 = 8

Tally markings can be used to arrange the data in a tabular format.


2. The number of students who received grades lower than 4 in question 2 above is

(A) 15 (B) 13 (C) 12 (D) 10

Explanation:

(D) 10

First, we must arrange the scores (out of 10) that 28 students in a mathematics exam received.

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10.

Ten students had grades of less than four.


3. Which fruit is preferred by the majority of students, based on data from question 4?

A, O, B, G, C, M, and D

Explanation:

(C) M

Mango (M) is a favourite among most pupils, per question 4 data.


4. On a scale where 1 unit length equals 10 crore, the bar with a length of 6 units will be comparable to 75 crore.

Explanation:

The answer to the question is 10 crore divided by 1 unit of length.

Hence, a bar of length 6 units equals 6 10.

= 60 crore

Hence, the number of units will equal 75 crore, or 75/10.

= 7.5 units


5. On a scale where 1 unit length equals 10 crore, the bar with a length of 6 units will represent 60 crore, while one with a length of 7.5 units will represent 75 crore.

The following table lists the exam results for 30 students in a class. Use tally marks to arrange the following grades in a table: B, C, C, E, A, C, B, B, D, D, D, B, C, C, C, B, E, C, B, E, C, D.

Explanation:

It is clear from the question that,

30 pupils in a class received the following grades: B, C, C, E, A, C, B, B, D, D, D, D, B, C, C, E, A, D, C, B, E, C, B, E, C, D.

Tally marks are used in the table to symbolise these marks,

Grades

Tally marks

Number of Students

A

NCERT Exemplar Class 6 Maths Solutions Chapter 5 Data Handling Image 11

3

B

NCERT Exemplar Class 6 Maths Solutions Chapter 5 Data Handling Image 12

7

C

NCERT Exemplar Class 6 Maths Solutions Chapter 5 Data Handling Image 13

10

D

NCERT Exemplar Class 6 Maths Solutions Chapter 5 Data Handling Image 14

6

E

NCERT Exemplar Class 6 Maths Solutions Chapter 5 Data Handling Image 15

4


6. The following table lists the number of two-wheelers that each of the 50 households personally owns. Use tally marks to create a table.

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

To determine how many families own two or more two-wheelers.

Explanation:

It is clear from the question that,

Each of the 50 families has an individual two-wheeler ownership total of,

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

Number of two-wheelers

Tally marks

0

NCERT Exemplar Class 6 Maths Solutions Chapter 5 Data Handling Image 16

1

NCERT Exemplar Class 6 Maths Solutions Chapter 5 Data Handling Image 17

2

NCERT Exemplar Class 6 Maths Solutions Chapter 5 Data Handling Image 18

3

NCERT Exemplar Class 6 Maths Solutions Chapter 5 Data Handling Image 19

4

NCERT Exemplar Class 6 Maths Solutions Chapter 5 Data Handling Image 20


7. In a bar graph, _______-wide bars can be drawn either horizontally or vertically, with ______ between each bar.

Explanation:

In a bar graph, bars of same width can be drawn either horizontally or vertically, with the distance between each bar being the same.


8. _______ can be drawn either horizontally or vertically in a bar graph.

Explanation:

Bars can be drawn either horizontally or vertically in a bar graph.


9. A ______ uses images of objects to represent data.

Explanation:

A pictograph uses images of actual objects to represent info.


10. With ______ markings, the data can be sorted in a tabular format.

Explanation:

Tally markings can be used to arrange the data in a tabular format.


11. A ______ is a group of numbers compiled to provide some important information.

Explanation:

Data is a group of numbers compiled to provide some useful information.


12. Bar graphs and pictographs are visual displays of numerical data.

Explanation:

True.

Pictographs and bar graphs are visual displays of numerical data by definition.


13. It is practical to use a one-unit length to represent one person in a bar graph that shows the population of various places.

Explanation:

False.

We could require a different scale if towns have a high population.


14. The space between two adjacent bars in a bar graph could not always be the same.

Explanation:

False.

A bar graph is composed of uniformly spaced bars that can be either horizontally or vertically arranged.


15. Bars of uniform width are only drawn vertically in bar graphs.

Explanation:

False.

A bar graph is composed of uniformly spaced bars that can be either horizontally or vertically arranged.


16. A bar graph may have bars of different widths.

Explanation:

False.

A bar graph is composed of uniformly spaced bars that can be either horizontally or vertically arranged.


17. Which fruit is preferred by the majority of students, based on data from question 4?

A, O, B, G, C, M, and D

Explanation:

(C) M

Mango (M) is a favourite among most pupils, per question 4 data.