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Statistics

Statistics deals with collecting, organizing, and interpreting numerical data. An important aspect of statistics is the analysis of population characteristics inferred from sampling.

36,756 Questions

What is a tool used to draw straight lines?

Any "straightedge" whether it be the side of a book, piece of paper, etc. can be used to create a straight line. Rulers, are common straightedges, as they are tools specifically meant to draw and measure lines.

How many even 3-digit numbers can be formed from digits 0 1 2 4 5 7 9 if each digit can be used only once?

To solve this question, two cases must be considered:

Case 1: The three-digit even number ends with 0.

If the three-digit number ends with 0, then the number must be even. After the digit 0 is used, six digits remain. After any one of these six digits is chosen to be the first digit, five digits remain. To complete the number, any of the five remaining digits could be chosen to be the second digit of the number.

___6___ * ___5___ * ___1___ = 30 three-digit even numbers ending in 0.

1st digit-------2nd digit----3rddigit (0)

Case 2: The three-digit even number does not end with 0.

If the three-digit number does not end with 0, it can end with 2 or 4. Therefore, there are two possibilities for the third digit. The first digit could be any of the remaining digits, EXCEPT 0: if 0 were the first digit, it would not be a three-digit number. Therefore, there would be five possible digits for the first digit. 0 could be used as the second digit, along with the four remaining digits that were not previously used.

___5___ * ___5___ * ___2___ = 50 three-digit even numbers not ending in 0.

1st digit-------2nd digit-----3rddigit (0)

The total number of three-digit even numbers is 80, since 30 three-digit even numbers ending in 0 plus 50 three-digit even numbers not ending in 0 equals 80.

What are the statistics on teenage pregnancy?

750,000 teenagers from ages 15-19 become pregnant every year.

How do you find percent deviation?

to find percent deviation you divide the average deviation into the mean then multiply by 100% . to get the average deviation you must subtract the mean from a measured value.

What is a scatter diagram how is it useful?

Sometimes when we graph the relationship between two varying quantities of real life on a coordinate plane we get dots scattered on coordinate plane.

For example graph average math score of students from grade 8.

Let's consider their 8-week score.

(1, 50) (2, 52), (3, 49), (4, 58), (5, 60), (6, 65), (7, 64), (8, 68).

If you plot these coordinates you will get the points scattered points.

1) It is helpful to study the relationship between two varying quantities.

2) It says whether the relation is positive or negative. Sometimes we may not have any relation.

3) Such relation is called as correlation.

4) In the above example the graph has positive correlation. As the week increases the average scores also increases. There may be some down fall. Overall, it is a positive variation.

How do you write a hypothesis?

Think about the aim of the experiment. Relate the hypothesis to this. A hypothesis is an educated guess of what you think will happen in the experiment. For example, if you're doing an experiment on the quality of different fertilizers, choose which fertilizer you think will be most effective and state this as your hypothesis.

Explain how you could create a distribution of means by taking a large number of samples of four individuals each?

As the sample size increases, and the number of samples taken increases, the distribution of the means will tend to a normal distribution. This is the Central Limit Theorem (CLT). Try out the applet and you will have a better understanding of the CLT.

How many different outcomes are possible when flipping a coin and rolling a dice?

The coin can result in one of two possibilities. For each of those . . .

The cube has 6 possibilities.

Total possibilities for the coin and the cube = 2 x 6 = 12 .

How many four digits codes can be made from 0123456789?

104 = 10000 if digits can be repeated, 5040 if not.

The above answers assume a code can start with a 0. If not,

9000 if digits can be repeated and 4536 if not.