Random variable and its types - class-XII

Discrete and continuous variables for Class XII mathematics

42 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

State, which of the following variables are continuous and which are discrete :


Sizes of shoes is discrete
If true then enter $1$ and if false then enter $0$

  1. $1$
  2. $0$
  3. Can't determine
  4. None of these
Question 2 Multiple Choice (Single Answer)

Say true or false:

Sizes of the shoe are discrete variables.

  1. True
  2. False
Question 3 Multiple Choice (Single Answer)

Are you a girl or boy is an example of ______ variable.

  1. continuous
  2. dependent
  3. discrete
  4. nominal
Question 4 Multiple Choice (Single Answer)

Which one of the statement is discrete variable?

  1. weight of animals in zoo
  2. distance travelled between colleges
  3. number of heads by flipping a coins
  4. height of animals in park
Question 5 Multiple Choice (Single Answer)

The statement "number of heads when flipping a coin" is an example of ______ variable.

  1. continuous
  2. dependent
  3. discrete
  4. nominal
Question 6 Multiple Choice (Single Answer)

Which variables are countable in a finite amount of time?

  1. dependent
  2. continuous
  3. nominal
  4. discrete
Question 7 Multiple Choice (Single Answer)

How many times will you brush your teeth. The answer is an example of which type of variable?

  1. continuous
  2. dependent
  3. nominal
  4. discrete
Question 8 Multiple Choice (Single Answer)

______ is not a discrete variable.

  1. average mark of a student
  2. what is your age?
  3. shoe size
  4. weight of a dog
Question 9 Multiple Choice (Single Answer)

Teacher asked a student to state how many times in the last month they visited their family doctor. The answer is an example of which type of variable?

  1. continuous
  2. dependent
  3. discrete
  4. nominal
Question 10 Multiple Choice (Single Answer)

Count the number of students in a class is an example of ________ variable.

  1. dependent
  2. continuous
  3. nominal
  4. discrete
Question 11 Multiple Choice (Single Answer)

Find the discrete variable.

  1. number of chocolates in a box
  2. time taken by an athlete
  3. height of a student in a class
  4. weight of animals in zoo
Question 12 Multiple Choice (Single Answer)

______ variables measured with enough precision can often be considered continuous for practical purposes.

  1. continuous
  2. discrete
  3. nominal
  4. none of the above
Question 13 Multiple Choice (Single Answer)

Which variable has the infinite set of the data?

  1. dependent
  2. nominal
  3. discrete
  4. continuous
Question 14 Multiple Choice (Single Answer)

The length of someone's foot is an example of _______ variable.

  1. continuous
  2. discrete
  3. dependent
  4. nominal
Question 15 Multiple Choice (Single Answer)

______ is not a continuous variable.

  1. are you a girl or boy?
  2. weight of a goat
  3. measure the height of a student
  4. time taken to complete a task
Question 16 Multiple Choice (Single Answer)

The weight of students in a class is an example of ________ variable.

  1. discrete
  2. continuous
  3. dependent
  4. nominal
Question 17 Multiple Choice (Single Answer)

The height of animals in park is not a _______ variable.

  1. discrete
  2. dependent
  3. nominal
  4. continuous
Question 18 Multiple Choice (Single Answer)

What type of variable is this?
Number of bubbles in a fish tank.

  1. dependent
  2. continuous
  3. nominal
  4. discrete
Question 19 Multiple Choice (Single Answer)

A _______ variable is a variable whose value is obtained by measuring.

  1. dependent
  2. continuous
  3. discrete
  4. nominal
Question 20 Multiple Choice (Single Answer)

What type of variable is given below?
distance travelled from classes.

  1. discrete
  2. dependent
  3. nominal
  4. continuous
Question 21 Multiple Choice (Single Answer)

The height of animals in park is a _______ variable.

  1. discrete
  2. continuous
  3. nominal
  4. dependent
Question 22 Multiple Choice (Single Answer)

Which one of the following is a continuous variable statement?

  1. how old are you?
  2. number of students in a class
  3. weight of a new born
  4. count the number of chocolates in a jar
Question 23 Multiple Choice (Single Answer)

Time taken to complete a task. The answer is an example of which type of variable?

  1. discrete
  2. dependent
  3. continuous
  4. nominal
Question 24 Multiple Choice (Single Answer)

Continuous variable has the ______ set of the data.

  1. finite
  2. infinite
  3. composite
  4. definite
Question 25 Multiple Choice (Single Answer)

Example of continuous variable is ________.

  1. number of bubbles in a fish tank
  2. time taken to complete a task
  3. are you a girl or boy?
  4. toss a coin to get head
Question 26 Multiple Choice (Single Answer)

Measurement of time, distance or weight are examples of ________ variable.

  1. discrete
  2. nominal
  3. continuous
  4. none of the above
Question 27 Multiple Choice (Single Answer)

The statement "weight of a cow" is an example of ______ variable.

  1. continuous
  2. discrete
  3. dependent
  4. nominal
Question 28 Multiple Choice (Single Answer)

Identify the continuous statement.

  1. toss a coin to get head
  2. are you a girl or boy?
  3. weight of animals in zoo
  4. number of bubbles in a fish tank
Question 29 Multiple Choice (Single Answer)

Which one of the following variable is not a continuous variable?

  1. distance
  2. height
  3. length
  4. number of cars in a street
Question 30 Multiple Choice (Single Answer)

Sizes of shoe are which types of variables?

  1. discrete
  2. random
  3. continous
  4. nominal
Question 31 Multiple Choice (Single Answer)

The mean of discrete obervations $y _1, y _2$ , ................ , $y _n$ is given by

  1. $\displaystyle \frac{\sum _{i=1}^{n} y _i}{n}$
  2. $\displaystyle \frac{\sum _{i=1}^{n} y _i}{\sum _{i=1}^{n}i}$
  3. $\displaystyle \frac{\sum _{i=1}^{n} y _i f _i}{n}$
  4. $\displaystyle \frac{\sum _{i=1}^{n} y _i f _i}{\sum _{i=1}^{n}y _if _i}$
Question 32 Multiple Choice (Single Answer)

Number of patients in a hospital are discrete variable


If true then enter $1$ and if false then enter $0$

  1. $1$
  2. $0$
  3. can't determine
  4. None of these
Question 33 Multiple Choice (Single Answer)

Distance travelled by a car is a continuous variable
If true then choose $1$ and if false then choose $0$

  1. $1$
  2. $0$
  3. $4$
  4. none of the above
Question 34 Multiple Choice (Single Answer)

Sizes of shoes are discrete variables,

If true then enter $1$ and if false then enter $0$

  1. Varies from case to case
  2. $0$
  3. $1$
  4. None of these
Question 35 Multiple Choice (Single Answer)

A quantity which can vary from one individual to another is called a variable.


If true then enter $1$ and if false then enter $0$

  1. $0$
  2. $1$
  3. can't determine
  4. None of these
Question 36 Multiple Choice (Single Answer)

The variable number of children in your class is discrete variable

  1. True
  2. False
  3. can't determine
  4. none of these
Question 37 Multiple Choice (Single Answer)

The sizes of shoes is a continuous variable
If true then enter $1$ and if false then enter $0$

  1. $1$
  2. $0$
  3. $10$
  4. None of these
Question 38 Multiple Choice (Single Answer)

Time is continuous variable
If true then enter $1$ and if false then enter $0$

  1. $1$
  2. $0$
  3. $3$
  4. None of these
Question 39 Multiple Choice (Single Answer)

State, which of the following variables are continuous and which are discrete :


Daily temperature of a city is continuous
If true then enter $1$ and if false then enter $0$

  1. Can't determine
  2. $0$
  3. $1$
  4. None of these
Question 40 Multiple Choice (Single Answer)

State, which of the following variables are continuous and which are discrete :

Marks scored in a text is discrete
If true then enter $1$ and if false then enter $0$

  1. $1$
  2. $0$
  3. Can't determine
  4. None of these
Question 41 Multiple Choice (Single Answer)

Daily temperature is continuous variable.

If true then enter $1$ and if false then enter $0$

  1. $1$
  2. $0$
  3. Can't determine
  4. None of these