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What is the nature and scope of statistics?

In the field of statistics, a small portion of a large group is used to formulate conclusions about the entire group. The smaller portion is the sample size, and the entire group is referred to as the population. An assumption about a population of millions of people may be derived from a sample size of a few thousand people.\nAcquiring data is dependent on the method of collection. The collection of data can be random or clustered, depending on the nature of the survey. The methods used to collect the data are important to the statisticians making conclusions from the final tallies. Whether t..

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What is the associative property of addition?

When working with such equations, one must always complete the computation in parentheses first. In the example (2 + 3) + 4, two and three are added together first for a sum of five, and then four is added to the five for an answer of nine. In the example 2 + (3 + 4), three and four are added first for a total of seven, and then two is added for a sum of nine. The associative property applies to multiplication as well, but it does not apply to subtraction or division.

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How do you calculate rate per 1,000?

For example, if you know there are 27 murders for every 100,000 people who live in a certain city, start with the equation 27/100,000=x/1,000. Solve the equation by multiplying both sides by 1,000. At that point, you have 27/100=x. That fraction becomes the decimal 0.27, and the ratio is 0.27 murders per 1,000 people.\nIf you do not have a ratio to start with, you need to create a ratio. For instance, if you are trying to figure out how many property crimes per 1,000 residents occur in your town, find the total number of property crimes and your town's population. If there are 182 propert..

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How do you turn a fraction into a decimal?

Convert mixed numbers to improper fractionsIf there is a whole number in front of the fraction, it is a mixed number. Convert it to an improper fraction by multiplying the whole number by the denominator of the fraction and adding the results to the existing numerator. The sum becomes the new numerator.Divide the numerator by the denominatorEnter the numerator into the calculator. Press the divide button, and enter the denominator. Press the equal sign to find the resulting decimal. If solving the problem by long division, the numerator becomes the number under the division symbol, and the den..

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How many thirds make a whole?

Any number over itself is equal to one. Using this fact, two-halves are a whole, four-fourths are a whole, ten-tenths are a whole and the list continues. From a practical standpoint, it takes three 1/3 cups to make 1 cup, three 1/3 tablespoons to make 1 tablespoon and three 1/3 inches to make 1 inch.

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What is the prime factorization of 55?

A prime number can only be divided by 1 and by itself. While the number of primes is infinite, and prime numbers can be very long, there are a few identifying characteristics they all share. With the exception of 2, all prime numbers are odd numbers. With the exception of 5, no prime numbers end in the number 5. With the exception of 3, no prime number is composed of digits that add up to a number divisible by 3.

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What are some of the advantages and disadvantages of a Gantt chart?

Another notable advantage of Gantt charts is that they help set, identify and achieve the key milestones of a project. Since there is a graphical representation of how each project resource has been allocated and scheduled, the project management team remains on the same page regarding expectations and deliverable due dates.A significant drawback of the Gantt charts is its inability to clearly establish how much work each individual task will involve or the amount of resources a task will require. This provides an incomplete picture about the scheduled tasks, which may in turn cause unexpected..

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Is 8 x 11 a standard size for graph paper?

There are no countries that use paper with dimensions of 8 by 11 as their standard-sized sheet. In the United States, letter-size dimensions, i.e. 8.5 by 11 inches, are the most common for single sheets of paper, but most other countries use A4-sized sheets that are slightly narrower and longer. Furthermore, since the standards for graph paper refer to the grid, not the paper size, graph paper may be printed on sheets with arbitrary dimensions.\nThere are several standard sizes for graph paper, ranging from 1/10 of an inch to 1/2 inch. The most common standard size of graph paper features a gr..

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What are some proofs related to parallelograms?

Another proof relating to parallelograms states that a quadrilateral for which one pair of opposite sides is both parallel and congruent is a parallelogram. This proof is developed using geometric properties, including those belonging to transversals, interior angles, congruent sides of triangles and corresponding parts of congruent triangles. A parallelogram is a quadrilateral for which both pairs of opposite sides are parallel and congruent, with related properties applying to the shape's angles.

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What is a negative number minus a positive number?

Just as subtracting a negative is addition, adding a negative is subtraction. The process of adding a negative is the same as subtracting a positive number from another positive number. Whenever one subtracts a positive number from any other number, it remains subtraction and cannot increase the value of the resulting number. Adding a negative number to another negative number decreases its value further.

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