Frequency

Q.

The frequency of leap years from 2000 to 2020 is ____ (years 2000 and 2020 are included).

1. 5

2. 4

3. 6

4. 3

Q.

Question 2
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

Q.

Question 9
The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.

$\begin{array}{cccccc}\text{Literacy rate (in \%)}& 45-55& 55-65& 65-75& 75-85& 85-95\\ \text{Number of cities}& 3& 10& 11& 8& 3\end{array}$

Q.

Question 2(a)

Following is the choice of sweets of 30 students of Class VI.
Ladoo, Barfi, Ladoo, jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo
Arrange the names of sweets in a table using tally marks.

Q.

Question 26
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?

Q.

Question 3(a)

Catherine threw a dice 40 times and noted the number appearing each time as shown below:
Make a table and enter the data using tally marks. Find the number that appeared the minimum number of times.

Q.

Question 5
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, stands for the fruits Apple Banana, Grapes, Mango and Orange, respectively.
Which fruit is liked by most of the students?
(a) O (b) G (c) M (d) A

Q.

Question 3
In question 2, the number of students who scored marks less than 4 is

(a) 15 (b) 13 (c) 12 (d) 10

Q.

If $12$ students scored $20$ marks in a test , then frequency of $20$ marks is _______ .

Q.

Question 1(a)

In a mathematics test, the following marks were obtained by 40 students. Arrange these marks on a table using tally marks.

Find how many students obtained marks equal to or more than 7?

Q. The number of times a data occurs is called its .

1. frequency
2. histograms
3. tally marks

Q.

___is a chart that uses bars to show comparisons between categories of data.

Q.

Question 3(b)

Catherine threw a dice 40 times and noted the number appearing each time as shown below:
Make a table and enter the data using tally marks. Find the number that appeared the maximum number of times.

Q.

Question 24

The length in centimetres (to the nearest centimetre) of 30 carrots are given as follows:
15, 22, 21, 20, 22, 15, 15, 20, 20, 15, 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 the length more than 20 cm?
(b) Which length of the carrots occurs the maximum and the minimum number of times?

Q.

A dice was thrown $30$ times and each time the number appearing on it was noted as given:

$263214531524312562315441422513$

Arrange the data in a tabular form using tally marks.

And find the number that appeared maximum number of times.

Q.

Catherine threw a dice $40$ times and noted the number appearing each time as shown below:

Make a table and enter the data using tally marks. Find those numbers that appear an equal number of times.

$\begin{array}{cccccccccc}1& 3& 5& 6& 6& 3& 5& 4& 1& 6\\ 2& 5& 3& 4& 6& 1& 5& 5& 6& 1\\ 1& 2& 2& 3& 5& 2& 4& 5& 5& 6\\ 5& 1& 6& 2& 3& 5& 2& 4& 1& 5\end{array}$

Q.

Question 25
Thirty students were interviewed to find out what they want to be n 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.

Q.

In a class, the teacher asks the students to name few scientists. The names that students told were -
Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein.
Which name has the highest frequency?

1. Einstein

2. Hawking

3. Tesla

4. Newton

Q.

Question 2(b)

Following is the choice of sweets of 30 students of Class VI.
Ladoo, Barfi, Ladoo, jalebi, Ladoo, Rashulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rashulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo
Which sweet is preferred by most of the students?

Q. Range is the difference between the and the lowest observations.

1. middle
2. highest
3. first

Q.

Catherine threw a dice 40 times and noted the number appearing each time as shown below:

1	3	5	6	6	3	5	4	1	6
2	5	3	4	6	1	5	5	6	1
1	2	2	3	5	2	4	5	5	6
5	1	6	2	3	5	2	4	1	5

Make a table and enter the data using tally marks. Find the number that appeared.

(a) The minimum number of times

(b) The maximum number of times

(c) Find those numbers that appear an equal number of times.

Q.

In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.

8	1	3	7	6	5	5	4	4	2
4	9	5	3	7	1	6	5	2	7
7	3	8	4	2	8	9	5	8	6
7	4	5	6	9	6	4	4	6	6

(a) Find how many students obtained marks equal to or more than7.

(b) How many students obtained marks below 4?

Q. The range for the data {0, 15, 30, 45, 60} is

1. 20
2. 10
3. 60
4. 30

Q. The following data shows the favourite pizza toppings by a group of class 6 students-
Cheese, Pepperoni, Cheese, Sausage, Mushrooms, Pepperoni, Cheese, Onions, Cheese, Mushrooms, Sausage and Sausage.
Which topping has the highest frequency?

Q. Different mathematical operations are given in the two rows below. Find out the number you get in each operation and make equations.
16 ÷ 2, 5 × 2, 9 + 4, 72 ÷ 3,
4 + 5 8 × 3, 19 $-$ 10, 10 $-$ 2,
37 $-$ 27, 6 + 7

Q.

The age of 15 students in a class is given below:

10, 11, 12, 10, 10, 12, 13, 13, 11, 10, 12, 11, 12, 13, 10

Find the frequency of age 13.

1. 1

2. 1

3. 3

4. 2

Q.

The marks obtained by nine students in physics and Mathematics are given below:

Physics $:48,60,72,62,56,40,39,52,30$

Mathematics$:62,78,65,70,38,54,60,32,31$.

Calculate Spearmans coefficient.

Q. One button is kept at – 3. In which direction and how many steps should we move to reach at – 9? Which number will we reach if we move 4 steps to the right of – 6.


[2 marks]

Q.

In a class of five students, the table shows the marks obtained by 5 students in Maths,

Physics and Chemistry. Find the answer of following questions.

a) Which roll no. secured maximum marks?

b) Are there any students who scored equal marks?

c) Who got least aggregate marks?

d) How much marks scored by roll no. 4?

$$\begin{array}{cccc}RollNo.& Maths& Physics& Chemistry\\ 1& 67& 78& 67\\ 2& 57& 78& 75\\ 3& 78& 64& 72\\ 4& 84& 60& 69\\ 5& 69& 70& 73\end{array}$$

[4 MARKS]

Q.

Gopi spun the spinner 30 times and got the following results:

2, 1, 4, 2, 4, 5, 1, 4, 1, 5, 3, 1, 4, 2, 3, 1, 5, 4, 4, 2, 3, 3, 5, 4, 2, 2, 5, 3, 1, 4

What is the frequency of 4?

1. 7
2. 5
3. 6
4. 8