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Practice each question, then open the answer or worked solution.
Using tally marks, which one of the following represents the number eight:
Solution:-
represents number 5
represents number 3
So, 5 + 3 = 8
The data can be arranged in a tabular form using tally marks.
The marks (out of 10) obtained by 28 students in a Mathematics test are listed 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
Solution:-
(D) 17
First, we have to arrange the marks (out of 10) obtained by 28 students in a Mathematics test.
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.
The number of students who obtained marks more than or equal to 5 is 17.
In question 2 above, the number of students who scored marks less than 4 is
(A) 15 (B) 13 (C) 12 (D) 10
Solution:-
(D) 10
First we have to arrange the marks (out of 10) obtained by 28 students in a Mathematics test.
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.
The number of students who scored marks less than 4 is 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
Solution:-
(D) B and G
From the question, it is given that A, B, G, M and O stand for the fruits Apple, Banana, Grapes, Mango and Orange, respectively.
So, by observing the choices of the fruits of 42 students in a class Bananas (B) and Grapes (G) are liked by an equal number of students i.e. 8 students each.
According to data from question 4, which fruit is liked by most of the students?
(A) O (B) G (C) M (D) A
Solution:-
(C) M
According to data from question 4, Mango(M) is liked by most of the students.
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.
Solution:-
False.
In a bar graph, bars of uniform width are drawn horizontally or vertically with equal spacing between them.
In a bar graph, bars of uniform width is drawn vertically only.
Solution:-
False.
In a bar graph, bars of uniform width are drawn horizontally or vertically with equal spacing between them.
In a bar graph, the gap between two consecutive bars may not be the same.
Solution:-
False.
In a bar graph, bars of uniform width are drawn horizontally or vertically with equal spacing between them.
In a bar graph, each bar (rectangle) represents only one value of the numerical data.
Solution:-
True.
To represent the population of different towns using a bar graph, it is convenient to take a one-unit length to represent one person.
Solution:-
False.
If the population of towns are large numbers, then we may need a different scale.