Tag: business mathematics and statistics

Questions Related to business mathematics and statistics

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

business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

  1. discrete

  2. nominal

  3. continuous

  4. none of the above

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Correct Option: C
Explanation:

A continuous variable is a variable whose value is obtained by measuring.
Example: 
The weight of a cat is a continuous variable as it can take any value - for example, $3.4$ kg, $3.5$ kg, $4.01$ kg, etc.

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

business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

  1. continuous

  2. discrete

  3. dependent

  4. nominal

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Correct Option: A
Explanation:

Continuous variable has the infinite set of the data.
So, weight of a cow is a continuous variable.
Since the weight can be measured in $3.5$ kg, $12.05$ kg, $12.5$ kg, $37.9$ kg etc..

Identify the continuous statement.

business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

  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

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Correct Option: C
Explanation:

A continuous variable is a variable whose value is obtained by measuring.
So, weight of animals in zoo is a continuous variable as it can take any value - for example, $3$ kg, $3.567$ kg, $4.01$ kg, etc.

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

business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

  1. distance

  2. height

  3. length

  4. number of cars in a street

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Correct Option: D
Explanation:

A continuous variable is a variable whose value is obtained by measuring.
So, distance, height and length are continuous variable.
Therefore, number of cars in a  street is not a continuous variable.

Sizes of shoe are which types of variables?

business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

  1. discrete

  2. random

  3. continous

  4. nominal

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Correct Option: A
Explanation:

There are two types of variables. Discrete and continuous. 

To explain by example, the set of real numbers is continuous, between any two distinct real numbers there exist infinite real numbers. Between 1.2 and 1.3 there exists 1.24 and so many more. 
The set of natural numbers on the other hand, constitutes a discrete sample space. 
Due to the limitations posed by manufacturing tools, we can only produce shoes of varying sizes in discrete steps.

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

business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

  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. $\displaystyle \frac{\sum _{i=1}^{n} y _i f _i}{\sum _{i=1}^{n}y _if _i}$

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Correct Option: A
Explanation:

Mean of terms = $\dfrac{Sum}{number}$


Therefore, Mean = $\displaystyle \dfrac{\sum _{i=1}^{n} y _i}{n}$

Number of patients in a hospital are discrete variable


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

business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

  1. $1$

  2. $0$

  3. can't determine

  4. None of these

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Correct Option: A

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

business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

  1. $1$

  2. $0$

  3. $4$

  4. none of the above

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Correct Option: A
Explanation:

The distance travelled by a car can be a fraction hence it is a continuous variable

Hence, option (A) is correct

Sizes of shoes are discrete variables,

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

business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

  1. Varies from case to case

  2. $0$

  3. $1$

  4. None of these

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Correct Option: C
Explanation:

Size of a shoe can have values only in natural numbers. Hence, it is a discrete variable.

Hence, option (C) is correct

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


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

business mathematics and statistics random variable and mathematical expectation discrete and continuous data random variable random variable and its types

  1. $0$

  2. $1$

  3. can't determine

  4. None of these

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Correct Option: B
Explanation:

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