Ncert exemplar solutions mathematics class 6 Solutions for Chapter 5 data handling

In questions 1 to 5, out of the four options, only one is correct. write the correct answer.

Using tally marks, which one of the following represents the number eight:

The marks (out of 10) obtained by 28 students in a Mathematics test are listed as below:

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

The number of students who obtained marks more than or equal to 5 is

(A) 13 (B) 15 (C) 16 (D) 17

In question 2 above, the number of students who scored marks less than 4 is

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

The choices of the fruits of 42 students in a class are as follows:

A, O, B, M, A, G, B, G, A, G, B, M, A, G, M, A,

B, G, M, B, A, O, M, O, G, B, O, M, G, A, A, B,

M, O, M, G, B, A, M, O, M, O,

where A, B, G, M and O stand for the fruits Apple, Banana, Grapes, Mango and Orange respectively. Which two fruits are liked by an equal number of students?

(A) A and M (B) M and B

(C) B and O (D) B and G

According to data of question 4, which fruit is liked by most of the students?

(A) O (B) G (C) M (D) A

In questions 6 to 13, state whether the given statements are true (T) or false (F).

In a bar graph, the width of bars may be unequal.

In a bar graph, bars of uniform width are drawn vertically only.

In a bar graph, the gap between two consecutive bars may not be the same.

In a bar graph, each bar (rectangle) represents only one value of the numerical data.

To represent the population of different towns using bar graph, it is convenient to take one-unit length to represent one person.

Pictographs and bar graphs are pictorial representations of the numerical data.

An observation occurring five times in a data is recorded as | | | | | using tally marks

In questions 14 to 20, fill in the blanks to make the statements true:

A _______ is a collection of numbers gathered to give some meaningful information.

The data can be arranged in a tabular form using _______ marks.

A _______ represents data through pictures of objects.

In a bar graph, ________ can be drawn horizontally or vertically.

In a bar graph, bars of ________ width can be drawn horizontally or vertically with ________ spacing between them.

An observation occurring seven times in a data is represented as ____ using tally marks.

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.

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

The number of two wheelers owned individually by each of 50 families are 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.

The lengths in centimeters (to the nearest centimeter) 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 length more than 20 cm?

(b) Which length of the carrots occur maximum number of times? Minimum number of times?

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

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 minimum number of students?

Fill in the blanks in the following table which represents shirt size of 40 students of a school.

6/11 and 6/13 are ______ proper fractions