Tag: business mathematics and statistics

Quizzes (14) Questions (285)

Questions Related to business mathematics and statistics

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

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

  1. discrete

  2. nominal

  3. continuous

  4. none of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
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.

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

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

  1. continuous

  2. discrete

  3. dependent

  4. nominal
Reveal answer Fill a bubble to check yourself
A Correct answer
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..

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

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
Reveal answer Fill a bubble to check yourself
C Correct answer
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.

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

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

  1. distance

  2. height

  3. length

  4. number of cars in a street
Reveal answer Fill a bubble to check yourself
D Correct answer
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.

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

Sizes of shoe are which types of variables?

  1. discrete

  2. random

  3. continous

  4. nominal
Reveal answer Fill a bubble to check yourself
A Correct answer
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.

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

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. $\displaystyle \frac{\sum _{i=1}^{n} y _i f _i}{\sum _{i=1}^{n}y _if _i}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Mean of terms = $\dfrac{Sum}{number}$


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

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

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
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A discrete variable is one that can only take specific, countable values. Since you cannot have a fraction of a patient, the number of patients is a discrete variable.

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

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
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

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

Hence, option (C) is correct