# Statistics

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

###### Asked in Math and Arithmetic, Chemistry, Statistics, Percentages, Fractions, and Decimal Values

### What is the percent error formula?

Percent Error is the difference between the true value and the
estimate divided by the true value and the result is multiplied by
100 to make it a percentage. The percent error obviously can be
positive or negative; however, some prefer taking the absolute
value of the difference.
The formula is the absolute value of the experimental value
(minus) the theoretical value divided by theoretical value times
100.
% error = (|Your Result - Accepted Value| / Accepted Value) x
100

###### Asked in Statistics

### Is income a ratio or interval scale measurement?

Income is a ratio measure. In ratio measures, one can order
categories, specify the difference between two categories, and the
value of zero on the variable represents the absence of the
variable. Thus, income can take on values of $0, $10, $30,000, etc.
Zero dollar income means the absence of income, making income a
ratio measurement.

###### Asked in Math and Arithmetic, Statistics, Probability

### What is the value of z if the area between -z and z is 0.754?

Since the normal distribution is symmetric, the area between -z
and 0 must be the same as the area between 0 and z. Using this
fact, you can simplify this problem to finding a z such that the
area between 0 and z is .754/2=.377. If you look this value up in a
z-table or use the invNorm on a calculator, you will find that the
required value of z will be 1.16. Therefore, the area between -1.16
and 1.16 must be approximately .754.

###### Asked in Math and Arithmetic, Statistics

### What does CL mean in mathematical terms?

It may stand for the number 150 (Roman numbers). In statistics,
CL usually refers to "Confidence Level," which establishes a
likelihood (typically 90 or 95%) an estimated value will fall
within a given Confidence Interval (a range of estimated values).
For example... [I'll get more done on this later]

###### Asked in Math and Arithmetic, Statistics, Probability

### What is the probability of obtaining exactly 4 heads in 6 flips of a fair coin?

The probability of a head in one flip is 1/2.
The probability of HHHHTT is (1/2)6 = 1/64
The possible correct flips are HHHHTT, HHHTHT, HHTHHT, HTHHHT,
THHHHT, HHHTTH, HHTHTH, HTHHTH, THHHTH, HHTTHH, HTHTHH, THHTHH,
HTTHHH, THTHHH, TTHHHH, each with a probability of 1/64.
Total probability is 15/64.

###### Asked in Religion & Spirituality, Math and Arithmetic, Statistics, Lotteries

### What lottery number occurs most often?

Please try and understand the enormity of what you are asking,
as this question has come up before.
Lottery "numbers" are a series. Various balls or slips or number
segments are generated, typically with two digits a piece, and a
certain number of pieces selected.
Thus there might be six balls each with a two digit number on
them.
I cannot conceive, given the thousands of lottery game types -
let alone how many times each has been played - that there is any
meaningful way of comparing the data of one game to the next, so
that if 12 54 23 84 33 03 came up on a lottery ball drawing in
Indiana on March 22, 1994 and the same series came up on a card in
New Jersey in August 9, 2007 that we would know.
Nor would it actually mean anything. In the event that we found
(by someone crunching vast amounts of data from dozens of states)
some one series that showed up a bit more often, it would be
meaningless.
If you flip a coin ten times, it is probable that there may be
more times where it is one tihng than another. 6 heads and 4 tails.
This does not then make "heads" likely to occur "more often". Just
means it did that time.
If any number series has repeated - and I'm sure some have - it
would not mean a thing. 17 different series might have had
instances where they repeated twice. 5 may have had it happen 3
times. Maybe there is one out there that repeated 12 times! But I
can assure you that the little balls in the hopper are not aware of
it, nor the number generator, nor any other device.
Like the coin, it cannot "know" what has been picked or won
before. The odds are therefore always the same. Flip a coin ten
times, and in the unlikely event that it came up heads ten
times...it will still be a fifty/fifty chance on the next flip.
Here is the short way to know the number that will always occur
"most often": By the odds clearly stated - usually on the ticket
itself - the most often chose number...will not be your's.

###### Asked in Math and Arithmetic, Statistics, Algebra

### What does a frequency chart or table look like?

Another name for a frequency chart is a stem and leaf
plot.
EXAMPLE: If i have the numbers 72,73, 74, 87, 88.
92,99
First you need to order them into least to greatest.
DEFINITIONS
stem- (basically like the tens) so 73's stem is 7
leaf- (basically like the ones) so 73's leaf is 3
Stem l Leaf
____________
7 l 2,3,4
8 l 7,8
9 l 2, 9
In the graph I've shown you I've numbered the numbers from
least to greatest going vertically (stem) horizontally
(leaf)
IT IS INCORRECT IF THEY'RE NOT IN LEAST TO GREATEST ORDER
ON STEM AND LEAF