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Study sets matching "normal curve"

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Study sets matching "normal curve"

9 terms
The Normal Curve
What percentage of people are there be…
Percentage of people between +1 σ and…
Percentage of people between +2 σ and…
Percentage of people between +2 s and…
34%
13.5%
2%
0.13%
What percentage of people are there be…
34%
Percentage of people between +1 σ and…
13.5%
8 terms
Normal Curve
Z scores
T scores
Standard scores
Scaled scores
M = 0 ; SD = 1
M = 50 ; SD = 10
M = 100 ; SD = 15
M = 10 ; SD = 3
Z scores
M = 0 ; SD = 1
T scores
M = 50 ; SD = 10
24 terms
The Normal Curve
What percentage of people are there be…
Percentage of people between +1 σ and…
Percentage of people between +2 σ and…
Percentage of people between +2 s and…
34%
13.5%
2%
0.13%
What percentage of people are there be…
34%
Percentage of people between +1 σ and…
13.5%
9 terms
The Normal Curve
What is characteristic of the normal c…
Inflection points
Empirical Rule
What information does the z score supp…
The mean, median, and mode are all in the same place
Where the graph appears to change directions
68% within one sd, 95% within two, 99.7% within three
How many standard deviations an x-value is from the mean
What is characteristic of the normal c…
The mean, median, and mode are all in the same place
Inflection points
Where the graph appears to change directions
10 terms
Normal curve/sampling distr.
Statistical inference
Normal distr.
Central limit theorem
Z-score
using descriptive summaries as basis for making estimates of…
(normal curve) good approximation of distribution of scores f…
regardless of original shape of distr., the sampling distr. o…
# of standard deviations from mean... (standardized score that a…
Statistical inference
using descriptive summaries as basis for making estimates of…
Normal distr.
(normal curve) good approximation of distribution of scores f…
10 terms
Normal curve/sampling distr.
Statistical inference
Normal distr.
Central limit theorem
Z-score
using descriptive summaries as basis for making estimates of…
(normal curve) good approximation of distribution of scores f…
regardless of original shape of distr., the sampling distr. o…
# of standard deviations from mean... (standardized score that a…
Statistical inference
using descriptive summaries as basis for making estimates of…
Normal distr.
(normal curve) good approximation of distribution of scores f…
5 terms
Normal Distribution Curve + SD
Normal Distribution Curve
Positively Skewed Distribution Curve
Negatively Skewed Distribution Curve
Standard Deviation
shows how spread data is from the mean using a normal distrib…
Normal Distribution Curve
Positively Skewed Distribution Curve
9 terms
normal distribution curve
distribution of many continuous variab…
the shape and position of the normal d…
spread of normal distribution is contr…
characteristics of normal distribution
normally distributed variables or bell curve or Gaussian dist…
1- mean ... 2- standard deviation
standard deviation
1- normal distribution curve is bell shape ... 2- mean , median…
distribution of many continuous variab…
normally distributed variables or bell curve or Gaussian dist…
the shape and position of the normal d…
1- mean ... 2- standard deviation
10 terms
Normal curve/sampling distr.
Statistical inference
Normal distr.
Central limit theorem
Z-score
using descriptive summaries as basis for making estimates of…
(normal curve) good approximation of distribution of scores f…
regardless of original shape of distr., the sampling distr. o…
# of standard deviations from mean... (standardized score that a…
Statistical inference
using descriptive summaries as basis for making estimates of…
Normal distr.
(normal curve) good approximation of distribution of scores f…
16 terms
5: The Standard Normal Curve
area under (a probability density cu…
1
normally distributed, normal distrubtion
one mode
The _ _ a PROBABILITY DENSITY CURVE between any two values…
For any probability density curve, *the area under the entire…
A population that is represented by a normal curve is said to…
Normal distributions have _ _.
area under (a probability density cu…
The _ _ a PROBABILITY DENSITY CURVE between any two values…
1
For any probability density curve, *the area under the entire…
12 terms
Ch. 6 - The Normal Curve
Normal curve
Roughly 68% of the scores will be foun…
Roughly 95% of the scores will be foun…
Transformations
Defined by being unimodal, symmetrical, and bell-shaped; the…
The first property of the normal curve
The second property of the normal curve
Changing the way a set of data looks without changing the bas…
Normal curve
Defined by being unimodal, symmetrical, and bell-shaped; the…
Roughly 68% of the scores will be foun…
The first property of the normal curve
15 terms
The Normal Curve and Z Distribution
Properties of Frequency Distribution
Positive Skew
Negative Skew
Skew
Skew and Kurtosis
The symmetry of the distribution
Properties of Frequency Distribution
Skew and Kurtosis
Positive Skew
11 terms
Standard Normal Curve Areas
0
0.2
0.4
0.6
0
.0793
.1554
.2257
0
0
0.2
.0793
13 terms
501B Normal Curve
Normal Curve
Normal Curve
Normal Curve
Normal distribution
The ___ combines the mean and standard deviation with a graph…
is shaped like a bell; hence "bell curve"
each half of this curve is a mirror image/symmetrical
___ is defined as a set of numbers, that when plotted, makes…
Normal Curve
The ___ combines the mean and standard deviation with a graph…
Normal Curve
is shaped like a bell; hence "bell curve"
16 terms
Distributions & the Normal Curve
distribution of data
center
variability
shape
describing the data set by referring to the center, variabili…
the placement is found on the left, center, or right on the g…
the characteristics found in the data, which includes the: sp…
the patterns that describe the data; answering the questions…
distribution of data
describing the data set by referring to the center, variabili…
center
the placement is found on the left, center, or right on the g…
10 terms
Normal curve/sampling distributions
bigger sample (n)
Normal curve
Normal distribution... - tails
probability
more clustered sd's will be around the mean
infinite number of normal curves
theoretically everything that occurs naturally is normally di…
is area under curve that represents probability that someone…
bigger sample (n)
more clustered sd's will be around the mean
Normal curve
infinite number of normal curves
13 terms
501-b Normal Curve
Normal Curve
Normal Distribution
Line of Symmetry
Line of Symmetry
Combines the mean and standard deviation with a graphical rep…
A set of numbers, that when plotted, makes a perfectly shaped…
Curve attribute line in the middle of values that touches at…
Where all three measures of central tendency (mean, mode, and…
Normal Curve
Combines the mean and standard deviation with a graphical rep…
Normal Distribution
A set of numbers, that when plotted, makes a perfectly shaped…
21 terms
Peds Normal Curve
0.1%
2.3%
15.9%
50%
what percentage is at or below -3 SD away from the mean?
what percentage is at or below -2 SD away from the mean?
what percentage is at or below -1 SD away from the mean?
what percentage is at the mean or below?
0.1%
what percentage is at or below -3 SD away from the mean?
2.3%
what percentage is at or below -2 SD away from the mean?
18 terms
501b normal curve
Normal Curve
Normal Curve Attributes
Normal Distribution
Abscissa
A graphical representation that combines the mean & standard…
Shaped like a bell, common name of "bell curve", each half of…
A set of numbers when plotted, make a perfectly shaped bell c…
This is the line below the curve on a normal curve
Normal Curve
A graphical representation that combines the mean & standard…
Normal Curve Attributes
Shaped like a bell, common name of "bell curve", each half of…
11 terms
Standard Normal Curve - FST
Horizontal axis is often called...
Area under the curve and above the Z a…
Symmetry:
Asymptote:
Z-axis
1=100%
Reflection symmetric over the Y axis
Z axis
Horizontal axis is often called...
Z-axis
Area under the curve and above the Z a…
1=100%
9 terms
Statistics (Normal Curve)
Normal Curve
Normal curve
Asymptotic
Mean, median, mode
Graphical representation of a normal distribution
Is symmetrical, with the highest point at the center
Normal curve is ____ at the base line
Coincide at one point at the center of the curve, they have e…
Normal Curve
Graphical representation of a normal distribution
Normal curve
Is symmetrical, with the highest point at the center
13 terms
Chapter 6-The Normal Curve
Normal Curve
Transformation
Z score
Roughly _____ of scores in a normal di…
defined by being unimodal, symmetrical, and bell-shaped, the…
changing the way a set of data looks without changing the bas…
the number of standard deviations that a score is away from t…
34%
Normal Curve
defined by being unimodal, symmetrical, and bell-shaped, the…
Transformation
changing the way a set of data looks without changing the bas…
20 terms
The Normal Curve and Probability
Probability
Statistical significance
Thresholds
Calculating probability-the basics
the expected relative frequency of a given outcome... what you e…
- how do we know if our findings are meaningful?... Correlations…
results less likely than a predetermined level are statistica…
Determine the number of possible "successful" outcomes... Determ…
Probability
the expected relative frequency of a given outcome... what you e…
Statistical significance
- how do we know if our findings are meaningful?... Correlations…
25 terms
Chapter 5: the normal curve
What is the normal curve?
The standard normal curve always has a…
7 properties of normal curve
What is the crucial point about the no…
a theoretical distribution of scores that is symmetrical, uni…
0,1
1)Theoretical... 2) bell-shaped... 3) unimodal... 4) symmetrical... 5) un…
The distances along the horizontal axis, when measured in sta…
What is the normal curve?
a theoretical distribution of scores that is symmetrical, uni…
The standard normal curve always has a…
0,1
12 terms
Chapter 6-The Normal Curve
Normal Curve
Transformation
Z score
Roughly _____ of scores in a normal di…
defined by being unimodal, symmetrical, and bell-shaped, the…
changing the way a set of data looks without changing the bas…
the number of standard deviations that a score is away from t…
34%
Normal Curve
defined by being unimodal, symmetrical, and bell-shaped, the…
Transformation
changing the way a set of data looks without changing the bas…
11 terms
Traits of a normal curve:
Curve is ____ shaped.
The ____, ____, and ____ are equal and…
Curve is __________.
Curve has NO _____.
Bell
Mean, median, and mode; center
Symmetrical
Gaps
Curve is ____ shaped.
Bell
The ____, ____, and ____ are equal and…
Mean, median, and mode; center
31 terms
5: The Standard Normal Curve
Probability Density Curve
area under (a probability density cu…
1
P(X = a) = 0
A _ _ _ is a curve used to describe the probability distrib…
The _ _ a PROBABILITY DENSITY CURVE between any two values…
For any probability density curve, *the area under the entire…
The region above a single point has zero width. Therefore, if…
Probability Density Curve
A _ _ _ is a curve used to describe the probability distrib…
area under (a probability density cu…
The _ _ a PROBABILITY DENSITY CURVE between any two values…
20 terms
Probability and the Normal Curve
What does the n represent in the formu…
The upcoming presidential election inv…
Most depictions of a probability distr…
The normal curve never meets the x-axi…
D . Number of times the outcome or event can occur
C. Empirical probability
A. The population is infinite
B.The population is infinite
What does the n represent in the formu…
D . Number of times the outcome or event can occur
The upcoming presidential election inv…
C. Empirical probability
32 terms
Density Curves and the Normal Distributions
Describe the median and the mean of a…
Where is the mean located in symmetric…
Where is the median located in symmetr…
How are outliers represented in symmet…
Both median and mean are the same for symmetric density curves.
Mean lies at at the center of the curve.
Median lies at at the center of the curve.
Outliers are not described by the curve.
Describe the median and the mean of a…
Both median and mean are the same for symmetric density curves.
Where is the mean located in symmetric…
Mean lies at at the center of the curve.
13 terms
Chapter 2- Normal Curves
Percentile
cumulative relative frequency graph
z-score
transforming data
the pth percentile of a distribution is the value with p perc…
"o-jive"; plot points that respond to its frequency
the standardize score; the observation minus the mean over th…
adding a constant to all values in a 5 number summary. Additi…
Percentile
the pth percentile of a distribution is the value with p perc…
cumulative relative frequency graph
"o-jive"; plot points that respond to its frequency
8 terms
Normal curves of the backbone
cervical curve
thoracic curve
lumbar curve
sacral curve
in the neck
in the upper back
in the lower back
in the buttocks area
cervical curve
in the neck
thoracic curve
in the upper back
7 terms
Normal curves and Z-Scores
Standard Deviation
Homogenous data (standard deviation)
Heterogeneous data (standard deviation)
Normal curve
Most common measure of dispersion; the standardized distance…
s is small
s is large
can be described by using its mean and standard deviation; al…
Standard Deviation
Most common measure of dispersion; the standardized distance…
Homogenous data (standard deviation)
s is small
Normal Curves of the Backbone
Cervical curve
Thoracic curve
Lumbar curve
Sacral curve
In the neck
In the upper back
In the lower back
In the buttocks area
Cervical curve
In the neck
Thoracic curve
In the upper back
Normal Curves of the Backbone
Cervical curve
Thoracic curve
Lumbar curve
Sacral curve
In the neck
In the upper back
In the lower back
In the buttocks area
Cervical curve
In the neck
Thoracic curve
In the upper back
9 terms
normal breathing curves
exhaling toward REL
exhaling below REL
inhaling above REL up to 55% VC
inhaling above 55% VC
no muscles; recoil of lungs active; restore of thorax present…
MOE active; recoil of lungs active; restore of thorax present…
restore of thorax active; recoil of lungs is present but bein…
MOI active; recoil of lungs and thorax present but being over…
exhaling toward REL
no muscles; recoil of lungs active; restore of thorax present…
exhaling below REL
MOE active; recoil of lungs active; restore of thorax present…
Probability, normal curve, std scores
Probability
Relative frequency
Egs
Probability formula
The expected 'frequency of occurance' of a particular event a…
Number of times something happens relative to the number of t…
Coin tosses... Simultaneous toss of two coins... Dice
Possible sucessful outcomes / all possible outcomes
Probability
The expected 'frequency of occurance' of a particular event a…
Relative frequency
Number of times something happens relative to the number of t…
30 terms
Chapter 6 Part 1 normal curve
define normal curve
why is sample size is so important in…
the distribution of MANY, MANY variabl…
What does it mean to say that the norm…
specific bell-shaped curve that is unimodal, symmetric, and d…
As the sample size increases, the distribution more and more…
a normal curve
* unimodal means 1 high point to the curve... * symmetric means…
define normal curve
specific bell-shaped curve that is unimodal, symmetric, and d…
why is sample size is so important in…
As the sample size increases, the distribution more and more…
22 terms
The Normal Curve, Standardization & zScore
Normal Curve
Created Normal Curve
Development of a Normal Curve
Characteristics of a Normal Distribution
A specific, bell-shaped curve/distribution that is unimodal,…
Principles originally developed by Abraham DeMoivre in early…
When plotting data, a normal distribution may not emerge imme…
Normal distributions are symmetric around their mean. The mea…
Normal Curve
A specific, bell-shaped curve/distribution that is unimodal,…
Created Normal Curve
Principles originally developed by Abraham DeMoivre in early…
15 terms
The Normal Curve, Standardization, and z Scores
Standardization
Z-score
Z-distribution
Z-distribution always has a mean of
Converting raw scores to z-scores
Number of standard deviations a score is from the mean
Distribution composed only of z-scores
0
Standardization
Converting raw scores to z-scores
Z-score
Number of standard deviations a score is from the mean
10 terms
central tendency, variability, and the normal curve
mean
median
mode
variability
average
midpoint
variable that occurs the most amount of times
the spread of the score
mean
average
median
midpoint
28 terms
Unit 1- Lesson 1: Using the Normal Curve
Discrete data
Continuous data
Interval
Normal curve
A set of values with gaps between successive values.
A set of values with at least one value between any two given…
A range or a set of values between a lower bound and an upper…
A symmetrical curve representing the normal distribution.
Discrete data
A set of values with gaps between successive values.
Continuous data
A set of values with at least one value between any two given…
14 terms
AP Statistics Chapter 6: The Normal Curve
Density Curve
Continuous Data
Mean and Median in a Density Curve
Standard Deviation in a Density Curve
A curve that is on or above the horizontal axis, has an area…
Represented by a density curve... - data that does not require o…
For a normal curve, the mean and the median are the same... Popu…
Controls the spread of the mean (average variability of the d…
Density Curve
A curve that is on or above the horizontal axis, has an area…
Continuous Data
Represented by a density curve... - data that does not require o…
14 terms
Chapter 6: The Normal Curve, Standardization, and z Scores
Standardization
z score
z score formula
Calculating raw score from z score
A way to convert individual scores from different normal dist…
The number of standard deviations a particular score is from…
X = z(SD) + (mean)
Standardization
A way to convert individual scores from different normal dist…
z score
The number of standard deviations a particular score is from…
12 terms
Chapter 6: The Normal Curve, Standardization, z scores
normal curve
standardization
z score
z score formula
specific, bell-shaped, unimodal, symmetric and defined mathem…
converts individual scores from different normal distribution…
number of the standard deviations a particular score is from…
x = raw score... μ = population mean... σ = SD
normal curve
specific, bell-shaped, unimodal, symmetric and defined mathem…
standardization
converts individual scores from different normal distribution…
7 terms
Ch 8: Standard Scores and the Standard Normal Curve
Standard scores (or z-scores)
Standard normal curve
Skew
Kurtosis
Deviation scores expressed in standard deviation units; calcu…
A theoretical, symmetrical, bell-shaped distribution based on…
The degree to which a distribution is asymmetrical; defined m…
Refers to how tightly clustered values are around the mean of…
Standard scores (or z-scores)
Deviation scores expressed in standard deviation units; calcu…
Standard normal curve
A theoretical, symmetrical, bell-shaped distribution based on…
5 terms
Quizlet No. 5 in Stat: Normal Curve
Z scores
T scores
Standard scores
Scaled scores
M = 0 ; SD = 1
M = 50 ; SD = 10
M = 100 ; SD = 15
M = 10 ; SD = 3
Z scores
M = 0 ; SD = 1
T scores
M = 50 ; SD = 10
25 terms
Quizlet No. 9 in Stat - The Standard Normal Curve
Probability Density Curve
normal curve
normally distributed, normal distrubtion
one mode
A _ _ _ is a curve used to describe the probability distrib…
Probability density curves comes in many varieties, depending…
A population that is represented by a normal curve is said to…
Normal distributions have _ _.
Probability Density Curve
A _ _ _ is a curve used to describe the probability distrib…
normal curve
Probability density curves comes in many varieties, depending…
8 terms
12.5 Tangents and Normals to Curves
Unit Tangent vector
Unit Normal Vector
Velocity
Acceleration
T(t) = r'(t) / ||r'(t)||
N(t) = T'(t) / ||T'(t)||
||V(t)|| • T(t)... V(t) = derivative of r(t)... T(t) = r'(t) / ||r…
Derivative of Velocity... ||V'(t)|| • T(t) + ||V(t)|| • T'(t)
Unit Tangent vector
T(t) = r'(t) / ||r'(t)||
Unit Normal Vector
N(t) = T'(t) / ||T'(t)||
9 terms
Quizlet No. 5 in Stat: The Normal Curve
What is characteristic of the normal c…
Inflection points
Empirical Rule
What information does the z score supp…
The mean, median, and mode are all in the same place
Where the graph appears to change directions
68% within one sd, 95% within two, 99.7% within three
How many standard deviations an x-value is from the mean
What is characteristic of the normal c…
The mean, median, and mode are all in the same place
Inflection points
Where the graph appears to change directions
13 terms
Chapter 5: Z-score and Normal Curve
Raw Score
Standard Score
Z-Score
Sign
score of measurement instrument using original scale of measu…
-Identify and describe exact location of each score a distrib…
specifies precise location of each score in a distribution
+/- indicated if score is above or below the mean
Raw Score
score of measurement instrument using original scale of measu…
Standard Score
-Identify and describe exact location of each score a distrib…
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