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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.

36,755 Questions

What is the probability of not drawing a king from a deck of 52 cards?

From a standard deck of 52 cards, the chance of not drawing a king on one pick is 48 of 52, or 12 out of 13 (about 92%).

What does a calculated value of chi square refers to?

Along with an associated 'degrees of freedom' these values can be used to give the probability of deviation from some model under the null hypothesis. For example, suppose the chi-square value proved to be 13.5 on df=6. Various sources give the value of the chi-square distribution function for this particular outcome. Let me use the Python (language) library scipy.

>>> chi2.cdf(13.5,6)

0.96425158157771951

This indicates that one would expect to see a value this large only about 0.036 or 3.6% of the time, given the truth of the null hypothesis. One would have some grounds for rejecting that hypothesis.

How many five digit numbers can be formed from the digits 0234 and 5 when repetition is allowed such the number formed is divisible by 2 or 5 or both?

Since it must be a 5 digit number, range is

the numbers from 20000 to 55555

we will use multiplication rule to figure this out too.

If a number is divible by two, its last(ones place) digit is even. If it

is divisible by 5 its last(ones place) digit is zero or 5.

We don't give a rat's derriere what the other digits are

(for divisibility by two or five)

The number of ways to choose the ten thousands place

digit is 4

the number of ways to choose the thousands place digit

is 5

the number of ways to choose the hundreds place digit

is 5

the number of ways to choose the tens place digit

is 5

The number of ways to choose the ones place digit is

FOUR, since it must be 0,2,4,5 and not 3

use multiplication rule and solution is

4 x 5 x 5 x 5 x 4 = 2000

In a two-way contingency table with four rows and four columns the appropriate degrees of freedom for the chi-square test statistic is?

The degrees of freedom for any contingency table can be calculated simply by the formula (r-1)x(c-1) where r= the number of rows and c= the number of columns. Thus for a contingency table with four rows and four columns the degrees of freedom are 3x3 = 9.

What is the meaning of a 1 percent slope?

This would mean that on a graph, a change of 100 on the x axis would be accompanied by a change of 1 on the y axis.

What does vaguely mean?

vague[veyg]

-adjective, va·guer, va·guest.1.not clearly or explicitly stated or expressed: vague promises.

2.indefinite or indistinct in nature or character, as ideas or feelings: a vague premonition of disaster.

3.not clear or distinct to the sight or any other sense; perceptible or recognizable only in an indefinite way: vague shapes in the dark; vague murmurs behind a door.

4.not definitely established, determined, confirmed, or known; uncertain: a vague rumor; The date of his birth is vague.

5.(of persons) not clear or definite in thought, understanding, or expression: vague about his motives; a vague person.

6.(of the eyes, expression, etc.) showing lack of clear perception or understanding: a vague stare.

What does mergo mean?

According to Wikipedia, "Mergo is a commune (municipality) in the Province of Ancona in the Italian region Marche, located about 40 km southwest of Ancona."

How weighing by difference eliminate systematic error?

While made to be as acurate as possible, typical scales have error systematically as a part of their measurements. If you place an object directly on the scale, it will be effected by this error (keeping you from obtaining an accurate result). Instead, measure the weight of object A, then add object B. You are able to calculate the difference and obtain an exact measurement since both objects are subject to the same error.

How many 3 digit numbers do the first 2 digits added equal the third?

45 if you don't count numbers that start with a zero, such as 000 or 011. If you do count them it would be 55.

You have 9 that start with 1 as their first digit since the lowest possible sum is 1 (101) and the highest possible sum which can fit in one digit is 9 (189). You have 8 that start with "2" since the lowest possible sum is 2 (202) and the highest possible sum will always be 9 (279). You have 7 that start with 3 since the lowest possible sum is 3 (303) and the highest possible sum is 9 (369) and so on until you get to numbers that start with 9 of which there is only one, 909.

So, you have 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45. If you count zero as a possible first digit then you can add ten because there's ten that start with zero.

Who is on the head and tail side of the penny?

The head of a penny is obviously the queens head, and the tail is that thing on the other side of the penny.

What is the smallest number that is divisible by 4 5 6 7 8 9 10 12 evenly?

2520

Explanation: 2 X 2 X 2 X 3 X 3 X 5 X 7

Three 2's are needed to cover the 8, which also covers the 4.

Two 3's are needed to cover the 9.

5 and 7 are prime numbers, so they are needed.

6 is covered by a 2 and a 3.

10 is covered by 2 and 5.

12 is covered by two 2's and a 3.

Find the mean of the set of numbers 13 2 15 10 5?

The mean of a set of numbers is defined to be the quotient of the sum of all the numbers divided by how many numbers are summed. In this instance, (13 + 2 + 15 + 10 + 5)/5 = 9.

How many 8 number combinations are their using numbers 0 -9?

there are 10 numbers that you can choose from 0-9

you are choosing 8 at a time, meaning no repeats

so the answer is "10 choose 8"

or 10!/(8!*(8-2)!)