1.
Which of these disciplines does not employ statistical principles?
Correct Answer
A. Astronomy
Explanation
Astronomy does not employ statistical principles because it primarily focuses on the observation and study of celestial objects and phenomena in the universe, such as stars, planets, galaxies, and cosmic radiation. While data analysis is an important aspect of astronomy, it relies more on mathematical and physical principles rather than statistical methods. In contrast, computational biology, data mining, and actuarial science heavily rely on statistical principles to analyze and interpret data in their respective fields.
2.
When did the study of statistics start?
Correct Answer
D. 1663
Explanation
The study of statistics started in 1663.
3.
When was the method of least squares first described?
Correct Answer
A. 1805
Explanation
The method of least squares was first described in 1805.
4.
Which of these mathematicians is associated with probability theory?
Correct Answer
C. Isaac Newton
Explanation
Isaac Newton is associated with probability theory because he made significant contributions to the development of the field. In his book "Mathematical Principles of Natural Philosophy," Newton introduced the concept of probability and discussed its application in various areas, including physics and finance. He developed the binomial theorem, which is a fundamental result in probability theory. Additionally, Newton's work on calculus laid the foundation for the mathematical techniques used in probability calculations. Overall, his contributions to probability theory solidify his association with the field.
5.
What is most common observation in a data set called?
Correct Answer
D. Mode
Explanation
The most common observation in a data set is called the mode. The mode represents the value or values that occur most frequently in the data set. Unlike the mean or median, which are measures of central tendency, the mode focuses on the frequency of values. It is useful for identifying the most common or popular data point in a set.
6.
Which of these is not an assumption in algebra?
Correct Answer
C. Unitary assumption
Explanation
The unitary assumption is not an assumption in algebra. The associative assumption states that the grouping of numbers does not affect the result, the unital assumption states that there exists an identity element, and the commutative assumption states that the order of numbers does not affect the result. However, the unitary assumption is not a commonly recognized assumption in algebra.
7.
What branch of algebra use truth values?
Correct Answer
D. Boolean algebra
Explanation
Boolean algebra is the branch of algebra that uses truth values. It is a mathematical structure that deals with binary variables and logical operations. In Boolean algebra, variables can only have two possible values, true or false, and operations such as AND, OR, and NOT are used to manipulate these values. Boolean algebra is widely used in computer science and digital electronics for designing and analyzing logic circuits and algorithms.
8.
Which of these operations comes first in a mathematical problem?
Correct Answer
A. Division
Explanation
In a mathematical problem, the order of operations is determined by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). According to this order, division comes before multiplication. Therefore, division should be performed before any multiplication in a mathematical problem.
9.
Which of these is not a modern presentation of geometry?
Correct Answer
A. Tangents
Explanation
Tangents are not a modern presentation of geometry because they have been studied and used in geometry for centuries. Tangents are lines that touch a curve at a single point, and they play a fundamental role in the study of curves and their properties. In contrast, planes, rotations, and lines are all modern presentations of geometry that have been developed and studied in more recent times.
10.
When was determinants first used for solving matrices problems?
Correct Answer
B. 1637