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How is the class midpoint calculated?

A class midpoint is halfway across the interval of a class, hence it is calculated by averaging the lower and upper limits. One Kobo provides an example of calculating the class midpoint; in a distribution where class intervals range in values: {1 to under 3, 3 to under 5, 5 to under 7, 7 to under 9, 9 to under 11, 11 to under 13} the class midpoints would be {2, 4, 6, 8, 10, 12} respectively. Each of these values are the average of the low and high extremes of each respective class.

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How many billions are in a trillion?

One trillion is also equal to one million millions. There are 1,000 millions in one billion. Instead of counting the number of places, count the number of commas to determine the place value of a numeral. Commas are placed every three places from the right. One comma denotes entering the thousands; numbers in the trillions have four commas.

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How many grams are in a 10-ounce gold bar?

One ounce is equivalent to 28.35 grams; ounces are converted to grams by multiplying by 28.35. The karat is a measure of the proportion of pure gold in a gold alloy. One karat indicates that approximately 4.2 percent of the gold alloy is pure gold. Twenty-four-karat gold is pure gold that contains no alloy metals, while 14-karat gold contains only 58.3 percent pure gold.

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What is the definition of multiplication for kids?

Students may find it helpful to use quick addition to complete simple multiplication problems. For example, if a child knows how to add quickly by threes, he finds it easier to multiply by threes. It is important for children to have a good grasp of the basic concept of addition before moving on to the more challenging area of multiplication.

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How is a scatter plot created?

A scatter plot is indicative of the relationship between the dependent and independent variables. This relationship is referred to as a "correlation." A positive correlation means the data values of both variables increment together, extending in a slanting straight line from the origin at (0,0) to increasing x and y values. A negative correlation means the data values of one variable decrement as the values of the other variable increment, going from high y values to gradually decreasing x values. A perfect positive correlation is designated the value of one while a perfect negative correlati..

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What is sin 90 degrees?

Radians are a unit of angular measurement that describe an angle in terms of the length of a corresponding arc on the unit circle. Radians are found using the length of the arc divided by the radius of the arc. There are 360 degrees in a complete unit circle, which is equal to 2? radians. This means that 90 degrees is equal to ?/2 radians and this gives sin(?/2) a value of 1.

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What is the difference between a parameter and a statistic?

The symbols differ when reporting statistics versus parameters. The average symbol for a statistic is an x with a line on top of it. For a parameter, the average is represented by the symbol μ. Since it is not always possible to collect every single observation in a population, sampling procedures are used to select a representative sample. Random sampling allows a statistician to calculate statistics about a sample and apply them to a population.

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What is the height of an equilateral triangle?

In an equilateral triangle, the height can be determined by creating two right triangles with an altitude drawn from one of the angles. The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the square of each side. Since each side is equal in length, the formula indicates that the length of a side squared equals the length of the hypotenuse squared plus the square of half the length.

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What are types of triangles?

Scalene, isosceles and equilateral triangles are categorized by their sides. Scalene triangles are triangles with no sides that are equal in length. Isosceles triangles have at least two equal sides. Equilateral triangles have three equal sides. Each of the three angles in an equilateral triangle measures 60 degrees.\nRight, obtuse and acute triangles are classified according to their angles. Right triangles have a 90-degree angle. Obtuse triangles have one angle that is greater than 90 degrees. Acute triangles have all angles less than 90 degrees, and their angles are referred to as acute ang..

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What are some ways of classifying polynomials?

A "monomial" is a single term, such as 9x^2. A "binomial" is a polynomial made up of two monomials, such as 9x^2 + 5x. A "trinomial" is a polynomial made up of three monomials, such as 9x^2 + 5x - 8. Any polynomial made up of more than four monomials is simply known as a polynomial.\nThe degree of a polynomial is determined by its highest exponent. For example, 9x^5 + 2x^4 - 4x^3 - 8x^2 + 2x + 9 is of the fifth degree because the highest exponent is five. 3x^3 - 6x^2 - x - 7 is of the third degree because the highest exponent is three. Polynomials are commonly ordered in decreasing exponenti..

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